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142354464 = 2537172733
BaseRepresentation
bin10000111110000…
…10100000100000
3100220212100121120
420133002200200
5242420320324
622043052240
73345664410
oct1037024040
9326770546
10142354464
11733a001a
123b811080
1323652c15
1414c98640
15c76e179
hex87c2820

142354464 has 144 divisors (see below), whose sum is σ = 454281408. Its totient is φ = 38227968.

The previous prime is 142354423. The next prime is 142354469. The reversal of 142354464 is 464453241.

It is a happy number.

142354464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (142354469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193842 + ... + 194574.

It is an arithmetic number, because the mean of its divisors is an integer number (3154732).

Almost surely, 2142354464 is an apocalyptic number.

142354464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142354464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227140704).

142354464 is an abundant number, since it is smaller than the sum of its proper divisors (311926944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142354464 is a wasteful number, since it uses less digits than its factorization.

142354464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 762 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 142354464 is about 11931.2389968519. The cubic root of 142354464 is about 522.1440861183.

The spelling of 142354464 in words is "one hundred forty-two million, three hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 289 336 357 408 476 544 578 672 714 733 816 867 952 1156 1428 1466 1632 1734 1904 2023 2199 2312 2856 2932 3468 3808 4046 4398 4624 5131 5712 5864 6069 6936 8092 8796 9248 10262 11424 11728 12138 12461 13872 15393 16184 17592 20524 23456 24276 24922 27744 30786 32368 35184 37383 41048 48552 49844 61572 64736 70368 74766 82096 87227 97104 99688 123144 149532 164192 174454 194208 199376 211837 246288 261681 299064 348908 398752 423674 492576 523362 598128 635511 697816 847348 1046724 1196256 1271022 1395632 1482859 1694696 2093448 2542044 2791264 2965718 3389392 4186896 4448577 5084088 5931436 6778784 8373792 8897154 10168176 11862872 17794308 20336352 23725744 35588616 47451488 71177232 142354464