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31919023641344 = 28728123633359
BaseRepresentation
bin1110100000111101110100…
…00100001101001100000000
311012000102120122020101011112
413100132322010031030000
513140430130023010334
6151515221431502452
76503034106245050
oct720367204151400
9135012518211145
1031919023641344
11a19686679a084
1236b6154527a28
1314a6c494bb2a8
147c4c63549560
153a5448c264ce
hex1d07ba10d300

31919023641344 has 72 divisors (see below), whose sum is σ = 72817976824320. Its totient is φ = 13679073543168.

The previous prime is 31919023641331. The next prime is 31919023641403. The reversal of 31919023641344 is 44314632091913.

It is a happy number.

It is a super-2 number, since 2×319190236413442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31919023641292 and 31919023641301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50079737 + ... + 50713095.

Almost surely, 231919023641344 is an apocalyptic number.

It is an amenable number.

31919023641344 is an abundant number, since it is smaller than the sum of its proper divisors (40898953182976).

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

31919023641344 is an equidigital number, since it uses as much as digits as its factorization.

31919023641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661505 (or 661491 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 31919023641344 in words is "thirty-one trillion, nine hundred nineteen billion, twenty-three million, six hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 28123 56246 112492 196861 224984 393722 449968 633359 787444 899936 1266718 1574888 1799872 2533436 3149776 3599744 4433513 5066872 6299552 7199488 8867026 10133744 12599104 17734052 20267488 25198208 35468104 40534976 50396416 70936208 81069952 141872416 162139904 283744832 567489664 1134979328 17811955157 35623910314 71247820628 124683686099 142495641256 249367372198 284991282512 498734744396 569982565024 997469488792 1139965130048 1994938977584 2279930260096 3989877955168 4559860520192 7979755910336 15959511820672 31919023641344