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137241330310745 = 5591951562342407
BaseRepresentation
bin11111001101000111111100…
…101111011101111001011001
3122222221010212021112021102022
4133031013330233131321121
5120442030221024420440
61203515444033344225
740623234050601533
oct3715077457357131
9588833767467368
10137241330310745
113a8027a30a4981
1213486357a08075
135b76a56a7074b
1425c6731614853
1510cee668cecb5
hex7cd1fcbdde59

137241330310745 has 32 divisors (see below), whose sum is σ = 167600541450240. Its totient is φ = 107855115076800.

The previous prime is 137241330310739. The next prime is 137241330310753. The reversal of 137241330310745 is 547013033142731.

It is not a de Polignac number, because 137241330310745 - 214 = 137241330294361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137241330310696 and 137241330310705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3236268332 + ... + 3236310738.

It is an arithmetic number, because the mean of its divisors is an integer number (5237516920320).

Almost surely, 2137241330310745 is an apocalyptic number.

It is an amenable number.

137241330310745 is a deficient number, since it is larger than the sum of its proper divisors (30359211139495).

137241330310745 is a wasteful number, since it uses less digits than its factorization.

137241330310745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50045.

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 137241330310745 in words is "one hundred thirty-seven trillion, two hundred forty-one billion, three hundred thirty million, three hundred ten thousand, seven hundred forty-five".

Divisors: 1 5 59 295 1951 5623 9755 28115 42407 115109 212035 331757 575545 1658785 2502013 10970473 12510065 54852365 82736057 238454561 413680285 647257907 1192272805 3236289535 4881427363 14068819099 24407136815 70344095495 465224848511 2326124242555 27448266062149 137241330310745