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2145324456 = 2332116740429
BaseRepresentation
bin111111111011111…
…0000110110101000
312112111210202220100
41333313300312220
513343200340311
6552513425400
7104106646152
oct17767606650
95474722810
102145324456
11a00a86020
124ba56b260
132825ca072
14164cc7ad2
15c851ba56
hex7fdf0da8

2145324456 has 96 divisors (see below), whose sum is σ = 6433221600. Its totient is φ = 640379520.

The previous prime is 2145324451. The next prime is 2145324473. The reversal of 2145324456 is 6544235412.

It is a super-3 number, since 3×21453244563 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2145324456.

It is not an unprimeable number, because it can be changed into a prime (2145324451) 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, 32850 + ... + 73278.

It is an arithmetic number, because the mean of its divisors is an integer number (67012725).

Almost surely, 22145324456 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 2145324456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216610800).

2145324456 is an abundant number, since it is smaller than the sum of its proper divisors (4287897144).

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

2145324456 is a wasteful number, since it uses less digits than its factorization.

2145324456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40519 (or 40512 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2145324456 is about 46317.6473495794. The cubic root of 2145324456 is about 1289.7266123377.

Adding to 2145324456 its reverse (6544235412), we get a palindrome (8689559868).

The spelling of 2145324456 in words is "two billion, one hundred forty-five million, three hundred twenty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1608 2211 2412 2948 4422 4824 5896 6633 8844 13266 17688 26532 40429 53064 80858 121287 161716 242574 323432 363861 444719 485148 727722 889438 970296 1334157 1455444 1778876 2668314 2708743 2910888 3557752 4002471 5336628 5417486 8004942 8126229 10673256 10834972 16009884 16252458 21669944 24378687 29796173 32019768 32504916 48757374 59592346 65009832 89388519 97514748 119184692 178777038 195029496 238369384 268165557 357554076 536331114 715108152 1072662228 2145324456