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75141014157 = 32112106165033
BaseRepresentation
bin100010111111011000…
…0001110001010001101
321011221201002000111100
41011332300032022031
52212342044423112
654304100413313
75300031040056
oct1057660161215
9234851060440
1075141014157
112995a164100
12126906a7239
13711657a071
1438cb70372d
151e4bb1e2dc
hex117ec0e28d

75141014157 has 36 divisors (see below), whose sum is σ = 119415300732. Its totient is φ = 45496387200.

The previous prime is 75141014131. The next prime is 75141014167.

75141014157 is a `hidden beast` number, since 7 + 51 + 410 + 141 + 57 = 666.

75141014157 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 61632531081 + 13508483076 = 248259^2 + 116226^2 .

It is not a de Polignac number, because 75141014157 - 26 = 75141014093 is a prime.

It is a super-3 number, since 3×751410141573 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75141014167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1122913 + ... + 1187945.

It is an arithmetic number, because the mean of its divisors is an integer number (3317091687).

Almost surely, 275141014157 is an apocalyptic number.

It is an amenable number.

75141014157 is a deficient number, since it is larger than the sum of its proper divisors (44274286575).

75141014157 is a wasteful number, since it uses less digits than its factorization.

75141014157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66122 (or 66108 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

It can be divided in two parts, 751410 and 14157, that added together give a palindrome (765567).

The spelling of 75141014157 in words is "seventy-five billion, one hundred forty-one million, fourteen thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 33 99 121 363 1061 1089 3183 9549 11671 35013 65033 105039 128381 195099 385143 585297 715363 1155429 2146089 6438267 7868993 23606979 69000013 70820937 207000039 621000117 759000143 2277000429 6831001287 8349001573 25047004719 75141014157