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31543290128 = 24731107197431
BaseRepresentation
bin11101011000001000…
…000110100100010000
310000102022021011102202
4131120020012210100
51004100040241003
622254002102332
72164446353660
oct353010064420
9100368234382
1031543290128
1112417401819
12614394a9a8
132c8903361c
1417533ba1a0
15c49375088
hex758206910

31543290128 has 160 divisors (see below), whose sum is σ = 73311879168. Its totient is φ = 12864499200.

The previous prime is 31543290127. The next prime is 31543290143. The reversal of 31543290128 is 82109234513.

It is a junction number, because it is equal to n+sod(n) for n = 31543290091 and 31543290100.

It is not an unprimeable number, because it can be changed into a prime (31543290127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73186073 + ... + 73186503.

Almost surely, 231543290128 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 31543290128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36655939584).

31543290128 is an abundant number, since it is smaller than the sum of its proper divisors (41768589040).

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

31543290128 is a wasteful number, since it uses less digits than its factorization.

31543290128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 31543290128 in words is "thirty-one billion, five hundred forty-three million, two hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 107 112 124 197 214 217 248 394 428 431 434 496 749 788 856 862 868 1379 1498 1576 1712 1724 1736 2758 2996 3017 3152 3317 3448 3472 5516 5992 6034 6107 6634 6896 11032 11984 12068 12214 13268 13361 21079 22064 23219 24136 24428 26536 26722 42158 42749 46117 46438 48272 48856 53072 53444 84316 84907 85498 92234 92876 93527 97712 106888 147553 168632 169814 170996 184468 185752 187054 213776 295106 322819 337264 339628 341992 368936 371504 374108 590212 594349 645638 653449 679256 683984 737872 748216 1180424 1188698 1291276 1306898 1358512 1429627 1496432 2360848 2377396 2582552 2613796 2632117 2859254 4574143 4754792 5165104 5227592 5264234 5718508 9085049 9148286 9509584 10007389 10455184 10528468 11437016 18170098 18296572 18424819 20014778 21056936 22874032 36340196 36593144 36849638 40029556 42113872 63595343 72680392 73186288 73699276 80059112 127190686 145360784 147398552 160118224 254381372 281636519 294797104 508762744 563273038 1017525488 1126546076 1971455633 2253092152 3942911266 4506184304 7885822532 15771645064 31543290128