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134355174669440 = 275613441474761
BaseRepresentation
bin11110100011001000000000…
…011101011011110010000000
3122121201020012010111122001122
4132203020000131123302000
5120102233344203410230
61153425525401451412
740204561322454644
oct3643100035336200
9577636163448048
10134355174669440
113989a78951795a
121309ab241a0b68
1359c783c0365ca
142526b7a2dcc24
15107ed46a12be5
hex7a320075bc80

134355174669440 has 64 divisors (see below), whose sum is σ = 326458295923320. Its totient is φ = 52861052313600.

The previous prime is 134355174669437. The next prime is 134355174669449. The reversal of 134355174669440 is 44966471553431.

It can be written as a sum of positive squares in 4 ways, for example, as 59041520087104 + 75313654582336 = 7683848^2 + 8678344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (134355174669449) 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 7 ways as a sum of consecutive naturals, for example, 1720698341 + ... + 1720776420.

Almost surely, 2134355174669440 is an apocalyptic number.

134355174669440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134355174669440 is an abundant number, since it is smaller than the sum of its proper divisors (192103121253880).

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

134355174669440 is an equidigital number, since it uses as much as digits as its factorization.

134355174669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441474841 (or 3441474829 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 62.

The spelling of 134355174669440 in words is "one hundred thirty-four trillion, three hundred fifty-five billion, one hundred seventy-four million, six hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1220 1952 2440 3904 4880 7808 9760 19520 39040 3441474761 6882949522 13765899044 17207373805 27531798088 34414747610 55063596176 68829495220 110127192352 137658990440 209929960421 220254384704 275317980880 419859920842 440508769408 550635961760 839719841684 1049649802105 1101271923520 1679439683368 2099299604210 2202543847040 3358879366736 4198599208420 6717758733472 8397198416840 13435517466944 16794396833680 26871034933888 33588793667360 67177587334720 134355174669440