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71344007424 = 283230965281
BaseRepresentation
bin100001001110001101…
…1110010100100000000
320211011002100002110100
41002130123302210000
52132103031214144
652435221402400
75103654025434
oct1023433624400
9224132302410
1071344007424
1128290917808
12119b0b69400
13695ca20211
14364b3109c4
151cc85e5269
hex109c6f2900

71344007424 has 54 divisors (see below), whose sum is σ = 205702368326. Its totient is φ = 23781335040.

The previous prime is 71344007419. The next prime is 71344007461. The reversal of 71344007424 is 42470044317.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40816929024 + 30527078400 = 202032^2 + 174720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15480337 + ... + 15484944.

Almost surely, 271344007424 is an apocalyptic number.

It is an amenable number.

71344007424 is an abundant number, since it is smaller than the sum of its proper divisors (134358360902).

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

71344007424 is a wasteful number, since it uses less digits than its factorization.

71344007424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30965303 (or 30965286 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 71344007424 in words is "seventy-one billion, three hundred forty-four million, seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 30965281 61930562 92895843 123861124 185791686 247722248 278687529 371583372 495444496 557375058 743166744 990888992 1114750116 1486333488 1981777984 2229500232 2972666976 3963555968 4459000464 5945333952 7927111936 8918000928 11890667904 17836001856 23781335808 35672003712 71344007424