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31457434344 = 23372223119953
BaseRepresentation
bin11101010011000000…
…100101101011101000
310000012022201020102220
4131103000211223220
51003411100344334
622241253554040
72162354531400
oct352300455350
9100168636386
1031457434344
11123829a1026
12611b045920
132c74302a9b
141745c2b800
15c41a66449
hex753025ae8

31457434344 has 96 divisors (see below), whose sum is σ = 91894360320. Its totient is φ = 8947459584.

The previous prime is 31457434343. The next prime is 31457434369. The reversal of 31457434344 is 44343475413.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 31457434296 and 31457434305.

It is not an unprimeable number, because it can be changed into a prime (31457434343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202272 + ... + 322224.

It is an arithmetic number, because the mean of its divisors is an integer number (957232920).

Almost surely, 231457434344 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 31457434344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45947180160).

31457434344 is an abundant number, since it is smaller than the sum of its proper divisors (60436925976).

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

31457434344 is a wasteful number, since it uses less digits than its factorization.

31457434344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120199 (or 120188 counting only the distinct ones).

The product of its digits is 967680, while the sum is 42.

The spelling of 31457434344 in words is "thirty-one billion, four hundred fifty-seven million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 223 294 392 446 588 669 892 1176 1338 1561 1784 2676 3122 4683 5352 6244 9366 10927 12488 18732 21854 32781 37464 43708 65562 87416 119953 131124 239906 262248 359859 479812 719718 839671 959624 1439436 1679342 2519013 2878872 3358684 5038026 5877697 6717368 10076052 11755394 17633091 20152104 23510788 26749519 35266182 47021576 53499038 70532364 80248557 106998076 141064728 160497114 187246633 213996152 320994228 374493266 561739899 641988456 748986532 1123479798 1310726431 1497973064 2246959596 2621452862 3932179293 4493919192 5242905724 7864358586 10485811448 15728717172 31457434344