Search a number
-
+
71232502140 = 223351917773907
BaseRepresentation
bin100001001010111001…
…0011011100101111100
320210212022112000222000
41002111302123211330
52131341010032030
652420155422300
75101131164232
oct1022562334574
9223768460860
1071232502140
1128233988188
121197b754990
1369428ab967
14363a5a6952
151cbd91b860
hex1095c9b97c

71232502140 has 192 divisors, whose sum is σ = 233467046400. Its totient is φ = 17980849152.

The previous prime is 71232502087. The next prime is 71232502147. The reversal of 71232502140 is 4120523217.

71232502140 is a `hidden beast` number, since 7 + 12 + 3 + 2 + 502 + 140 = 666.

It is a super-2 number, since 2×712325021402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71232502147) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 18230067 + ... + 18233973.

It is an arithmetic number, because the mean of its divisors is an integer number (1215974200).

Almost surely, 271232502140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71232502140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116733523200).

71232502140 is an abundant number, since it is smaller than the sum of its proper divisors (162234544260).

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

71232502140 is a wasteful number, since it uses less digits than its factorization.

71232502140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 71232502140 in words is "seventy-one billion, two hundred thirty-two million, five hundred two thousand, one hundred forty".