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31144307328 = 273329310747
BaseRepresentation
bin11101000000010110…
…000110101010000000
32222101111111201221000
4131000112012222000
51002240420313303
622150230332000
72151533146551
oct350026065200
988344451830
1031144307328
1112232171072
1260521ba000
132c2448a024
1417163dc328
15c24312da3
hex740586a80

31144307328 has 128 divisors (see below), whose sum is σ = 95088888000. Its totient is φ = 10023422976.

The previous prime is 31144307321. The next prime is 31144307329. The reversal of 31144307328 is 82370344113.

31144307328 is a `hidden beast` number, since 311 + 4 + 4 + 307 + 32 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 31144307292 and 31144307301.

It is not an unprimeable number, because it can be changed into a prime (31144307321) 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, 55150 + ... + 255597.

Almost surely, 231144307328 is an apocalyptic number.

It is an amenable number.

31144307328 is an abundant number, since it is smaller than the sum of its proper divisors (63944580672).

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

31144307328 is a wasteful number, since it uses less digits than its factorization.

31144307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310799 (or 310781 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 31144307328 in words is "thirty-one billion, one hundred forty-four million, three hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3456 3712 4176 5568 6264 8352 11136 12528 16704 25056 33408 50112 100224 310747 621494 932241 1242988 1864482 2485976 2796723 3728964 4971952 5593446 7457928 8390169 9011663 9943904 11186892 14915856 16780338 18023326 19887808 22373784 27034989 29831712 33560676 36046652 39775616 44747568 54069978 59663424 67121352 72093304 81104967 89495136 108139956 119326848 134242704 144186608 162209934 178990272 216279912 243314901 268485408 288373216 324419868 357980544 432559824 486629802 536970816 576746432 648839736 865119648 973259604 1073941632 1153492864 1297679472 1730239296 1946519208 2595358944 3460478592 3893038416 5190717888 7786076832 10381435776 15572153664 31144307328