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255134121105540 = 223511337630401343
BaseRepresentation
bin111010000000101100001010…
…101010001001100010000100
31020110100120202120102112202210
4322000230022222021202010
5231420104140000334130
62302342555220103420
7104511555235266315
oct7200541252114204
91213316676375683
10255134121105540
1174325856038676
1224746850b34b70
13ac49076692511
1447007b351a60c
151e76955e7c5b0
hexe80b0aa89884

255134121105540 has 48 divisors (see below), whose sum is σ = 720697446540288. Its totient is φ = 67433679204864.

The previous prime is 255134121105517. The next prime is 255134121105631. The reversal of 255134121105540 is 45501121431552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18815193892 + ... + 18815207451.

It is an arithmetic number, because the mean of its divisors is an integer number (15014530136256).

Almost surely, 2255134121105540 is an apocalyptic number.

255134121105540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255134121105540 is an abundant number, since it is smaller than the sum of its proper divisors (465563325434748).

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

255134121105540 is a wasteful number, since it uses less digits than its factorization.

255134121105540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37630401468 (or 37630401466 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

It can be divided in two parts, 2551341 and 21105540, that added together give a triangular number (23656881 = T6878).

The spelling of 255134121105540 in words is "two hundred fifty-five trillion, one hundred thirty-four billion, one hundred twenty-one million, one hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 37630401343 75260802686 112891204029 150521605372 188152006715 225782408058 376304013430 451564816116 564456020145 752608026860 1128912040290 2257824080580 4252235351759 8504470703518 12756706055277 17008941407036 21261176758795 25513412110554 42522353517590 51026824221108 63783530276385 85044707035180 127567060552770 255134121105540