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142333104 = 24319239653
BaseRepresentation
bin10000111101111…
…01010010110000
3100220211021022110
420132331102300
5242414124404
622042405320
73345545214
oct1036752260
9326737273
10142333104
1173385a71
123b800840
1323646294
1414c90944
15c767b89
hex87bd4b0

142333104 has 80 divisors (see below), whose sum is σ = 389260800. Its totient is φ = 44690688.

The previous prime is 142333097. The next prime is 142333109. The reversal of 142333104 is 401333241.

142333104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142333109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217642 + ... + 218294.

It is an arithmetic number, because the mean of its divisors is an integer number (4865760).

Almost surely, 2142333104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194630400).

142333104 is an abundant number, since it is smaller than the sum of its proper divisors (246927696).

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

142333104 is a wasteful number, since it uses less digits than its factorization.

142333104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 142333104 is about 11930.3438341064. The cubic root of 142333104 is about 522.1179692566.

Adding to 142333104 its reverse (401333241), we get a palindrome (543666345).

The spelling of 142333104 in words is "one hundred forty-two million, three hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 239 304 456 478 653 717 912 956 1306 1434 1912 1959 2612 2868 3824 3918 4541 5224 5736 7836 9082 10448 11472 12407 13623 15672 18164 24814 27246 31344 36328 37221 49628 54492 72656 74442 99256 108984 148884 156067 198512 217968 297768 312134 468201 595536 624268 936402 1248536 1872804 2497072 2965273 3745608 5930546 7491216 8895819 11861092 17791638 23722184 35583276 47444368 71166552 142333104