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31424304400 = 2452686311447
BaseRepresentation
bin11101010001000010…
…001101010100010000
310000010000101001200221
4131101002031110100
51003324110220100
622234111522424
72161503115546
oct352102152420
9100100331627
1031424304400
1112366223005
12610bb29414
132c6a4a3278
141741685d96
15c3dbc001a
hex75108d510

31424304400 has 60 divisors (see below), whose sum is σ = 75514488192. Its totient is φ = 12566792320.

The previous prime is 31424304341. The next prime is 31424304419. The reversal of 31424304400 is 440342413.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2739477 + ... + 2750923.

Almost surely, 231424304400 is an apocalyptic number.

It is an amenable number.

31424304400 is an abundant number, since it is smaller than the sum of its proper divisors (44090183792).

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

31424304400 is a wasteful number, since it uses less digits than its factorization.

31424304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18328 (or 18317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 31424304400 its reverse (440342413), we get a palindrome (31864646813).

The spelling of 31424304400 in words is "thirty-one billion, four hundred twenty-four million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6863 11447 13726 22894 27452 34315 45788 54904 57235 68630 91576 109808 114470 137260 171575 183152 228940 274520 286175 343150 457880 549040 572350 686300 915760 1144700 1372600 2289400 2745200 4578800 78560761 157121522 314243044 392803805 628486088 785607610 1256972176 1571215220 1964019025 3142430440 3928038050 6284860880 7856076100 15712152200 31424304400