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31144430044 = 227137310910753
BaseRepresentation
bin11101000000010110…
…100100100111011100
32222101111201222021001
4131000112210213130
51002240433230134
622150233120044
72151534200410
oct350026444734
988344658231
1031144430044
1112232245292
126052259024
132c24500b40
141716430d40
15c24339414
hex7405a49dc

31144430044 has 96 divisors (see below), whose sum is σ = 68629447040. Its totient is φ = 12039487488.

The previous prime is 31144430017. The next prime is 31144430063. The reversal of 31144430044 is 44003444113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31144429994 and 31144430021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2890972 + ... + 2901724.

Almost surely, 231144430044 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 31144430044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34314723520).

31144430044 is an abundant number, since it is smaller than the sum of its proper divisors (37485016996).

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

31144430044 is a wasteful number, since it uses less digits than its factorization.

31144430044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10959 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31144430044 its reverse (44003444113), we get a palindrome (75147874157).

The spelling of 31144430044 in words is "thirty-one billion, one hundred forty-four million, four hundred thirty thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 109 146 182 218 292 364 436 511 763 949 1022 1417 1526 1898 2044 2834 3052 3796 5668 6643 7957 9919 10753 13286 15914 19838 21506 26572 31828 39676 43012 55699 75271 103441 111398 139789 150542 206882 222796 279578 301084 413764 559156 724087 784969 978523 1172077 1448174 1569938 1957046 2344154 2896348 3139876 3914092 4688308 5494783 8204539 10204597 10989566 15237001 16409078 20409194 21979132 30474002 32818156 40818388 60948004 71432179 85561621 106659007 142864358 171123242 213318014 285728716 342246484 426636028 598931347 1112301073 1197862694 2224602146 2395725388 4449204292 7786107511 15572215022 31144430044