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137545440424434 = 23271390778495037
BaseRepresentation
bin11111010001100011001011…
…000111011111000111110010
3200001000012211020100201012100
4133101203023013133013302
5121012021030222040214
61204311300352441230
740654221144115020
oct3721431307370762
9601005736321170
10137545440424434
113a90a76a354449
1213515289849216
135b99630265a93
1425d7340571710
1510d7d14d15309
hex7d18cb1df1f2

137545440424434 has 48 divisors (see below), whose sum is σ = 340613204413248. Its totient is φ = 39295870942176.

The previous prime is 137545440424409. The next prime is 137545440424477. The reversal of 137545440424434 is 434424044545731.

137545440424434 is a `hidden beast` number, since 1 + 3 + 7 + 54 + 544 + 0 + 4 + 2 + 4 + 43 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37495237 + ... + 40999800.

It is an arithmetic number, because the mean of its divisors is an integer number (7096108425276).

Almost surely, 2137545440424434 is an apocalyptic number.

137545440424434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137545440424434 is an abundant number, since it is smaller than the sum of its proper divisors (203067763988814).

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

137545440424434 is a wasteful number, since it uses less digits than its factorization.

137545440424434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78508959 (or 78508956 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 54.

The spelling of 137545440424434 in words is "one hundred thirty-seven trillion, five hundred forty-five billion, four hundred forty million, four hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 13907 27814 41721 83442 97349 125163 194698 250326 292047 584094 876141 1752282 78495037 156990074 235485111 470970222 549465259 706455333 1098930518 1412910666 1648395777 3296791554 4945187331 9890374662 1091630479559 2183260959118 3274891438677 6549782877354 7641413356913 9824674316031 15282826713826 19649348632062 22924240070739 45848480141478 68772720212217 137545440424434