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74007430141 = 7121093672
BaseRepresentation
bin100010011101100101…
…1111100001111111101
321002000201000222120011
41010323023330033331
52203031400231031
653555404023221
75226654530311
oct1047313741775
9232021028504
1074007430141
11294282a0707
1212414b31b11
136c9576aca8
143820d41b41
151dd23526b1
hex113b2fc3fd

74007430141 has 18 divisors (see below), whose sum is σ = 75960108510. Its totient is φ = 72098676720.

The previous prime is 74007430139. The next prime is 74007430169. The reversal of 74007430141 is 14103470047.

It can be written as a sum of positive squares in only one way, i.e., 67896724900 + 6110705241 = 260570^2 + 78171^2 .

It is not a de Polignac number, because 74007430141 - 21 = 74007430139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74007433141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201654940 + ... + 201655306.

Almost surely, 274007430141 is an apocalyptic number.

74007430141 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

74007430141 is a deficient number, since it is larger than the sum of its proper divisors (1952678369).

74007430141 is an frugal number, since it uses more digits than its factorization.

74007430141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 74007430141 in words is "seventy-four billion, seven million, four hundred thirty thousand, one hundred forty-one".

Divisors: 1 71 109 367 5041 7739 26057 40003 134689 549469 1850047 2840213 9562919 14681101 201655123 678967249 1042358171 74007430141