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31044433024 = 27111011991097
BaseRepresentation
bin11100111010011001…
…000111010010000000
32222010112120121010201
4130322121013102000
51002034333324044
622132301534544
72146211220043
oct347231072200
988115517121
1031044433024
1112190856020
126024874454
132c0988b7c7
141707040c5a
15c1a6857d4
hex73a647480

31044433024 has 128 divisors (see below), whose sum is σ = 68541552000. Its totient is φ = 13888512000.

The previous prime is 31044432971. The next prime is 31044433027. The reversal of 31044433024 is 42033444013.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 31044432983 and 31044433001.

It is not an unprimeable number, because it can be changed into a prime (31044433027) 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, 28298844 + ... + 28299940.

It is an arithmetic number, because the mean of its divisors is an integer number (535480875).

Almost surely, 231044433024 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 31044433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34270776000).

31044433024 is an abundant number, since it is smaller than the sum of its proper divisors (37497118976).

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

31044433024 is a wasteful number, since it uses less digits than its factorization.

31044433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 31044433024 its reverse (42033444013), we get a palindrome (73077877037).

The spelling of 31044433024 in words is "thirty-one billion, forty-four million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 199 202 352 398 404 704 796 808 1097 1111 1408 1592 1616 2189 2194 2222 3184 3232 4378 4388 4444 6368 6464 8756 8776 8888 12067 12736 12928 17512 17552 17776 20099 24134 25472 35024 35104 35552 40198 48268 70048 70208 71104 80396 96536 110797 140096 140416 142208 160792 193072 218303 221089 221594 280192 321584 386144 436606 442178 443188 643168 772288 873212 884356 886376 1218767 1286336 1544576 1746424 1768712 1772752 2401333 2437534 2572672 3492848 3537424 3545504 4802666 4875068 6985696 7074848 7091008 9605332 9750136 13971392 14149696 14182016 19210664 19500272 22048603 27942784 28299392 38421328 39000544 44097206 76842656 78001088 88194412 153685312 156002176 176388824 242534633 307370624 352777648 485069266 705555296 970138532 1411110592 1940277064 2822221184 3880554128 7761108256 15522216512 31044433024