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71142460416 = 210327719451
BaseRepresentation
bin100001001000001101…
…0111100110000000000
320210122001002102221100
41002100122330300000
52131144432213131
652403221454400
75065655636016
oct1022032746000
9223561072840
1071142460416
1128198078535
1211955571400
13692a043a31
14362c6488b6
151cb5a827e6
hex10906bcc00

71142460416 has 66 divisors (see below), whose sum is σ = 205422337172. Its totient is φ = 23714150400.

The previous prime is 71142460379. The next prime is 71142460451. The reversal of 71142460416 is 61406424117.

It is a happy number.

71142460416 is a `hidden beast` number, since 7 + 1 + 1 + 42 + 4 + 604 + 1 + 6 = 666.

It is a super-2 number, since 2×711424604162 (a number of 23 digits) contains 22 as substring.

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, 3850510 + ... + 3868941.

Almost surely, 271142460416 is an apocalyptic number.

It is an amenable number.

71142460416 is an abundant number, since it is smaller than the sum of its proper divisors (134279876756).

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

71142460416 is a wasteful number, since it uses less digits than its factorization.

71142460416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719477 (or 7719456 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 71142460416 in words is "seventy-one billion, one hundred forty-two million, four hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 7719451 15438902 23158353 30877804 46316706 61755608 69475059 92633412 123511216 138950118 185266824 247022432 277900236 370533648 494044864 555800472 741067296 988089728 1111600944 1482134592 1976179456 2223201888 2964269184 3952358912 4446403776 5928538368 7904717824 8892807552 11857076736 17785615104 23714153472 35571230208 71142460416