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71941840128 = 283231224757
BaseRepresentation
bin100001100000000010…
…0010101110100000000
320212200202021010202100
41003000010111310000
52134314102341003
653014415150400
75124533360064
oct1030004256400
9225622233670
1071941840128
1128568325324
1211b39215400
136a2683a492
1436a6891aa4
151d10d35ba3
hex10c0115d00

71941840128 has 54 divisors (see below), whose sum is σ = 207426067394. Its totient is φ = 23980612608.

The previous prime is 71941840057. The next prime is 71941840129. The reversal of 71941840128 is 82104814917.

71941840128 is a `hidden beast` number, since 71 + 9 + 418 + 40 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55070947584 + 16870892544 = 234672^2 + 129888^2 .

It is a super-2 number, since 2×719418401282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71941840129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15610075 + ... + 15614682.

Almost surely, 271941840128 is an apocalyptic number.

It is an amenable number.

71941840128 is an abundant number, since it is smaller than the sum of its proper divisors (135484227266).

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

71941840128 is a wasteful number, since it uses less digits than its factorization.

71941840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31224779 (or 31224762 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 71941840128 in words is "seventy-one billion, nine hundred forty-one million, eight hundred forty thousand, one hundred twenty-eight".

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 31224757 62449514 93674271 124899028 187348542 249798056 281022813 374697084 499596112 562045626 749394168 999192224 1124091252 1498788336 1998384448 2248182504 2997576672 3996768896 4496365008 5995153344 7993537792 8992730016 11990306688 17985460032 23980613376 35970920064 71941840128