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10144255202055 = 3251337479971597
BaseRepresentation
bin1001001110011110010010…
…1110100101001100000111
31022220210002120211210102200
42103213210232211030013
52312200413312431210
633324112334405543
72064620046336432
oct223474456451407
938823076753380
1010144255202055
113261177668477
12117a0366608b3
135877a3483350
14270dad942819
15128d1e4ea0c0
hex939e4ba5307

10144255202055 has 96 divisors (see below), whose sum is σ = 19861508669184. Its totient is φ = 4755733337088.

The previous prime is 10144255202047. The next prime is 10144255202057. The reversal of 10144255202055 is 55020255244101.

10144255202055 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 425 + 5 + 20 + 205 + 5 = 666.

10144255202055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144255202055 - 23 = 10144255202047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144255202057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3968484 + ... + 6003113.

It is an arithmetic number, because the mean of its divisors is an integer number (206890715304).

Almost surely, 210144255202055 is an apocalyptic number.

10144255202055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10144255202055 is a deficient number, since it is larger than the sum of its proper divisors (9717253467129).

10144255202055 is a wasteful number, since it uses less digits than its factorization.

10144255202055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971705 (or 9971702 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 10144255202055 in words is "ten trillion, one hundred forty-four billion, two hundred fifty-five million, two hundred two thousand, fifty-five".

Divisors: 1 3 5 9 13 15 37 39 45 47 65 111 117 141 185 195 235 333 423 481 555 585 611 705 1443 1665 1739 1833 2115 2405 3055 4329 5217 5499 7215 8695 9165 15651 21645 22607 26085 27495 67821 78255 113035 203463 339105 1017315 9971597 29914791 49857985 89744373 129630761 149573955 368949089 388892283 448721865 468665059 648153805 1106847267 1166676849 1405995177 1844745445 1944461415 2343325295 3320541801 4217985531 4796338157 5534236335 5833384245 6092645767 7029975885 14389014471 16602709005 17340607183 18277937301 21089927655 23981690785 30463228835 43167043413 52021821549 54833811903 71945072355 86703035915 91389686505 156065464647 215835217065 225427893379 260109107745 274169059515 676283680137 780327323235 1127139466895 2028851040411 3381418400685 10144255202055