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13334081408016 = 2434674297138433
BaseRepresentation
bin1100001000001001010100…
…1011111000110000010000
31202012201121001121110122120
43002002111023320300100
53221431144320024031
644205331544334240
72544232652615445
oct302022513706020
952181531543576
1013334081408016
114280a523772a6
1215b4298a74380
13759524604a35
143415316779cc
15181cb3e25a96
hexc20952f8c10

13334081408016 has 80 divisors (see below), whose sum is σ = 34528420914624. Its totient is φ = 4434112069632.

The previous prime is 13334081407993. The next prime is 13334081408051. The reversal of 13334081408016 is 61080418043331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96252336 + ... + 96390768.

Almost surely, 213334081408016 is an apocalyptic number.

13334081408016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13334081408016 is an abundant number, since it is smaller than the sum of its proper divisors (21194339506608).

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

13334081408016 is a wasteful number, since it uses less digits than its factorization.

13334081408016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143208 (or 143202 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13334081408016 in words is "thirteen trillion, three hundred thirty-four billion, eighty-one million, four hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 467 934 1401 1868 2802 3736 4297 5604 7472 8594 11208 12891 17188 22416 25782 34376 51564 68752 103128 138433 206256 276866 415299 553732 830598 1107464 1661196 2006699 2214928 3322392 4013398 6020097 6644784 8026796 12040194 16053592 24080388 32107184 48160776 64648211 96321552 129296422 193944633 258592844 387889266 517185688 594846601 775778532 1034371376 1189693202 1551557064 1784539803 2379386404 3103114128 3569079606 4758772808 7138159212 9517545616 14276318424 28552636848 277793362667 555586725334 833380088001 1111173450668 1666760176002 2222346901336 3333520352004 4444693802672 6667040704008 13334081408016