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130441596746076 = 2232711103014568183
BaseRepresentation
bin11101101010001011001101…
…000010011011100101011100
3122002212002120011012022002200
4131222023031002123211130
5114044123342231333301
61141232013044451500
736322044240131610
oct3552131502334534
9562762504168080
10130441596746076
1138620a74837620
12127685569a9b90
1357a2788a0c735
14242d59aa17340
151013142c33c86
hex76a2cd09b95c

130441596746076 has 144 divisors (see below), whose sum is σ = 411128666178048. Its totient is φ = 33877637712000.

The previous prime is 130441596746063. The next prime is 130441596746081. The reversal of 130441596746076 is 670647695144031.

130441596746076 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 15 + 9 + 6 + 7 + 4 + 607 + 6 = 666.

It is a super-2 number, since 2×1304415967460762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26270281 + ... + 30838463.

It is an arithmetic number, because the mean of its divisors is an integer number (2855060181792).

Almost surely, 2130441596746076 is an apocalyptic number.

It is an amenable number.

130441596746076 is an abundant number, since it is smaller than the sum of its proper divisors (280687069431972).

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

130441596746076 is a wasteful number, since it uses less digits than its factorization.

130441596746076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578512 (or 4578507 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 130441596746076 in words is "one hundred thirty trillion, four hundred forty-one billion, five hundred ninety-six million, seven hundred forty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 10301 20602 30903 41204 61806 72107 92709 113311 123612 144214 185418 216321 226622 288428 339933 370836 432642 453244 648963 679866 793177 865284 1019799 1297926 1359732 1586354 2039598 2379531 2595852 3172708 4079196 4568183 4759062 7138593 9136366 9518124 13704549 14277186 18272732 27409098 28554372 31977281 41113647 50250013 54818196 63954562 82227294 95931843 100500026 127909124 150750039 164454588 191863686 201000052 287795529 301500078 351750091 383727372 452250117 575591058 603000156 703500182 904500234 1055250273 1151182116 1407000364 1809000468 2110500546 3165750819 4221001092 6331501638 12663003276 47056853083 94113706166 141170559249 188227412332 282341118498 329397971581 423511677747 517625383913 564682236996 658795943162 847023355494 988193914743 1035250767826 1317591886324 1552876151739 1694046710988 1976387829486 2070501535652 2964581744229 3105752303478 3623377687391 3952775658972 4658628455217 5929163488458 6211504606956 7246755374782 9317256910434 10870133062173 11858326976916 14493510749564 18634513820868 21740266124346 32610399186519 43480532248692 65220798373038 130441596746076