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136001014693120 = 285106250792729
BaseRepresentation
bin11110111011000100110100…
…001010110111110100000000
3122211112120101112212120221201
4132323010310022313310000
5120311220034230134440
61201130000441230544
740434514633030633
oct3673046412676400
9584476345776851
10136001014693120
113a374785289635
1213305aa8792454
135ab6ac0bc7bc5
1425826aca41c1a
1510aca7266619a
hex7bb1342b7d00

136001014693120 has 36 divisors (see below), whose sum is σ = 325764930510180. Its totient is φ = 54400405876736.

The previous prime is 136001014693097. The next prime is 136001014693123. The reversal of 136001014693120 is 21396410100631.

It can be written as a sum of positive squares in 2 ways, for example, as 85099296605184 + 50901718087936 = 9224928^2 + 7134544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 136001014693120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136001014693123) 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 3 ways as a sum of consecutive naturals, for example, 53125395085 + ... + 53125397644.

It is an arithmetic number, because the mean of its divisors is an integer number (9049025847505).

Almost surely, 2136001014693120 is an apocalyptic number.

136001014693120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136001014693120 is an abundant number, since it is smaller than the sum of its proper divisors (189763915817060).

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

136001014693120 is an equidigital number, since it uses as much as digits as its factorization.

136001014693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106250792750 (or 106250792736 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

Adding to 136001014693120 its reverse (21396410100631), we get a palindrome (157397424793751).

The spelling of 136001014693120 in words is "one hundred thirty-six trillion, one billion, fourteen million, six hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 106250792729 212501585458 425003170916 531253963645 850006341832 1062507927290 1700012683664 2125015854580 3400025367328 4250031709160 6800050734656 8500063418320 13600101469312 17000126836640 27200202938624 34000253673280 68000507346560 136001014693120