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31046632740 = 223251489115837
BaseRepresentation
bin11100111010100001…
…100000010100100100
32222010200201100120200
4130322201200110210
51002040414221430
622132421030500
72146236011154
oct347241402444
988120640520
1031046632740
1112192018772
126025555430
132c0a17bb06
141707454764
15c1a96c460
hex73a860524

31046632740 has 72 divisors (see below), whose sum is σ = 94238846520. Its totient is φ = 8273470464.

The previous prime is 31046632739. The next prime is 31046632751. The reversal of 31046632740 is 4723664013.

It is a happy number.

31046632740 is a `hidden beast` number, since 3 + 10 + 4 + 6 + 632 + 7 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368409636 + 30678223104 = 19194^2 + 175152^2 .

It is a super-3 number, since 3×310466327403 (a number of 32 digits) contains 333 as substring.

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 = 31046632695 and 31046632704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210102 + ... + 325938.

Almost surely, 231046632740 is an apocalyptic number.

31046632740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31046632740 is an abundant number, since it is smaller than the sum of its proper divisors (63192213780).

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

31046632740 is a wasteful number, since it uses less digits than its factorization.

31046632740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117341 (or 117336 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

It can be divided in two parts, 310466 and 32740, that added together give a triangular number (343206 = T828).

The spelling of 31046632740 in words is "thirty-one billion, forty-six million, six hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1489 2978 4467 5956 7445 8934 13401 14890 17868 22335 26802 29780 44670 53604 67005 89340 115837 134010 231674 268020 347511 463348 579185 695022 1042533 1158370 1390044 1737555 2085066 2316740 3475110 4170132 5212665 6950220 10425330 20850660 172481293 344962586 517443879 689925172 862406465 1034887758 1552331637 1724812930 2069775516 2587219395 3104663274 3449625860 5174438790 6209326548 7761658185 10348877580 15523316370 31046632740