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31144202024 = 23134338917903
BaseRepresentation
bin11101000000010101…
…101100111100101000
32222101111022101110212
4131000111230330220
51002240403431044
622150224200252
72151532230545
oct350025547450
988344271425
1031144202024
11122320a9a41
126052169088
132c24451110
1417163b1bcc
15c242e1a9e
hex74056cf28

31144202024 has 64 divisors (see below), whose sum is σ = 64518854400. Its totient is φ = 14003087616.

The previous prime is 31144202021. The next prime is 31144202027. The reversal of 31144202024 is 42020244113.

It is an interprime number because it is at equal distance from previous prime (31144202021) and next prime (31144202027).

It is a super-2 number, since 2×311442020242 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31144202021) 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, 1730657 + ... + 1748559.

It is an arithmetic number, because the mean of its divisors is an integer number (1008107100).

Almost surely, 231144202024 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 31144202024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32259427200).

31144202024 is an abundant number, since it is smaller than the sum of its proper divisors (33374652376).

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

31144202024 is a wasteful number, since it uses less digits than its factorization.

31144202024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18354 (or 18350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 31144202024 its reverse (42020244113), we get a palindrome (73164446137).

The spelling of 31144202024 in words is "thirty-one billion, one hundred forty-four million, two hundred two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 389 559 778 1118 1556 2236 3112 4472 5057 10114 16727 17903 20228 33454 35806 40456 66908 71612 133816 143224 217451 232739 434902 465478 769829 869804 930956 1539658 1739608 1861912 3079316 6158632 6964267 10007777 13928534 20015554 27857068 40031108 55714136 80062216 90535471 181070942 299463481 362141884 598926962 724283768 1197853924 2395707848 3893025253 7786050506 15572101012 31144202024