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23332041144 = 2333432512063
BaseRepresentation
bin10101101110101100…
…101011000110111000
32020020001100111102000
4111232230223012320
5340241000304034
614415114341000
71454122035366
oct255654530670
966201314360
1023332041144
119993368935
124631a2a760
13227aac8009
1411b4a42636
1591854c599
hex56eb2b1b8

23332041144 has 64 divisors (see below), whose sum is σ = 66318489600. Its totient is φ = 7596475488.

The previous prime is 23332041143. The next prime is 23332041151. The reversal of 23332041144 is 44114023332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332041143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246744 + ... + 1265319.

It is an arithmetic number, because the mean of its divisors is an integer number (1036226400).

Almost surely, 223332041144 is an apocalyptic number.

23332041144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23332041144 is an abundant number, since it is smaller than the sum of its proper divisors (42986448456).

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

23332041144 is a wasteful number, since it uses less digits than its factorization.

23332041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512121 (or 2512111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23332041144 its reverse (44114023332), we get a palindrome (67446064476).

The spelling of 23332041144 in words is "twenty-three billion, three hundred thirty-two million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 2512063 5024126 7536189 10048252 15072378 20096504 22608567 30144756 45217134 60289512 67825701 90434268 108018709 135651402 180868536 216037418 271302804 324056127 432074836 542605608 648112254 864149672 972168381 1296224508 1944336762 2592449016 2916505143 3888673524 5833010286 7777347048 11666020572 23332041144