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13002313650344 = 2317534216776329
BaseRepresentation
bin1011110100110101011001…
…0010010101000010101000
31201001000020121001010212222
42331031112102111002220
53201012214243302334
643353102550053212
72511246311324564
oct275152622250250
951030217033788
1013002313650344
1141632830a4517
12155bb2864a208
137341610cc7a5
1432d45b4086a4
15178347852d2e
hexbd3564950a8

13002313650344 has 128 divisors (see below), whose sum is σ = 26406046202400. Its totient is φ = 5979237089280.

The previous prime is 13002313650343. The next prime is 13002313650349. The reversal of 13002313650344 is 44305631320031.

It can be written as a sum of positive squares in 16 ways, for example, as 6553446400900 + 6448867249444 = 2559970^2 + 2539462^2 .

It is not an unprimeable number, because it can be changed into a prime (13002313650341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2054399372 + ... + 2054405700.

Almost surely, 213002313650344 is an apocalyptic number.

It is an amenable number.

13002313650344 is an abundant number, since it is smaller than the sum of its proper divisors (13403732552056).

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

13002313650344 is a wasteful number, since it uses less digits than its factorization.

13002313650344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 13002313650344 its reverse (44305631320031), we get a palindrome (57307944970375).

The spelling of 13002313650344 in words is "thirteen trillion, two billion, three hundred thirteen million, six hundred fifty thousand, three hundred forty-four".

Divisors: 1 2 4 8 17 34 53 68 106 136 212 421 424 677 842 901 1354 1684 1802 2708 3368 3604 5416 6329 7157 7208 11509 12658 14314 22313 23018 25316 28628 35881 44626 46036 50632 57256 71762 89252 92072 107593 143524 178504 215186 285017 287048 335437 379321 430372 570034 609977 670874 758642 860744 1140068 1219954 1341748 1517284 2280136 2439908 2664509 2683496 3034568 4284733 4845289 4879816 5329018 5702429 8569466 9690578 10658036 11404858 15105901 17138932 19381156 21316072 22809716 30211802 34277864 38762312 45296653 45619432 60423604 72840461 90593306 120847208 141218977 145680922 181186612 227090849 256800317 282437954 291361844 362373224 454181698 513600634 564875908 582723688 908363396 1027201268 1129751816 1803872593 1816726792 2054402536 2400722609 3607745186 3860544433 4801445218 7215490372 7721088866 9602890436 14430980744 15442177732 19205780872 30665834081 30884355464 61331668162 95605247429 122663336324 191210494858 245326672648 382420989716 764841979432 1625289206293 3250578412586 6501156825172 13002313650344