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31540324440 = 23351012602337
BaseRepresentation
bin11101010111111100…
…110010100001011000
310000102002200111021110
4131113330302201120
51004043310340230
622253414340320
72164412222442
oct352774624130
9100362614243
1031540324440
1112415766639
12614295a6a0
132c88535791
141752c47492
15c48e8b4b0
hex757f32858

31540324440 has 64 divisors (see below), whose sum is σ = 95557851360. Its totient is φ = 8327475200.

The previous prime is 31540324429. The next prime is 31540324469. The reversal of 31540324440 is 4442304513.

It is a super-2 number, since 2×315403244402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31540324398 and 31540324407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289049 + ... + 1313288.

Almost surely, 231540324440 is an apocalyptic number.

31540324440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31540324440 is an abundant number, since it is smaller than the sum of its proper divisors (64017526920).

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

31540324440 is a wasteful number, since it uses less digits than its factorization.

31540324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602452 (or 2602448 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 31540324440 its reverse (4442304513), we get a palindrome (35982628953).

The spelling of 31540324440 in words is "thirty-one billion, five hundred forty million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 2602337 5204674 7807011 10409348 13011685 15614022 20818696 26023370 31228044 39035055 52046740 62456088 78070110 104093480 156140220 262836037 312280440 525672074 788508111 1051344148 1314180185 1577016222 2102688296 2628360370 3154032444 3942540555 5256720740 6308064888 7885081110 10513441480 15770162220 31540324440