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15055510515144 = 23311891613397253
BaseRepresentation
bin1101101100010110001001…
…0110110010110111001000
31222022021220102011201112220
43123011202112302313020
53433132141142441034
652004223412334040
73112503404610141
oct333054226626710
958267812151486
1015055510515144
11488500820a180
121831a38014320
13852961815348
143a0994dd8ac8
151b1965ba4749
hexdb1625b2dc8

15055510515144 has 128 divisors (see below), whose sum is σ = 41547683548800. Its totient is φ = 4508206376960.

The previous prime is 15055510515137. The next prime is 15055510515173. The reversal of 15055510515144 is 44151501555051.

15055510515144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150555105151442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15055510515096 and 15055510515105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37700422 + ... + 38097674.

It is an arithmetic number, because the mean of its divisors is an integer number (324591277725).

Almost surely, 215055510515144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15055510515144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773841774400).

15055510515144 is an abundant number, since it is smaller than the sum of its proper divisors (26492173033656).

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

15055510515144 is a wasteful number, since it uses less digits than its factorization.

15055510515144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398975 (or 398971 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 42.

The spelling of 15055510515144 in words is "fifteen trillion, fifty-five billion, five hundred ten million, five hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1613 1958 2136 2937 3226 3916 4839 5874 6452 7832 9678 11748 12904 17743 19356 23496 35486 38712 53229 70972 106458 141944 143557 212916 287114 397253 425832 430671 574228 794506 861342 1148456 1191759 1579127 1589012 1722684 2383518 3158254 3178024 3445368 4369783 4737381 4767036 6316508 8739566 9474762 9534072 12633016 13109349 17479132 18949524 26218698 34958264 35355517 37899048 52437396 70711034 104874792 106066551 141422068 212133102 282844136 388910687 424266204 640769089 777821374 848532408 1166732061 1281538178 1555642748 1922307267 2333464122 2563076356 3111285496 3844614534 4666928244 5126152712 7048459979 7689229068 9333856488 14096919958 15378458136 21145379937 28193839916 42290759874 56387679832 57028448921 84581519748 114056897842 169163039496 171085346763 228113795684 342170693526 456227591368 627312938131 684341387052 1254625876262 1368682774104 1881938814393 2509251752524 3763877628786 5018503505048 7527755257572 15055510515144