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13334294909440 = 2958069645521
BaseRepresentation
bin1100001000001010000111…
…1010010101001000000000
31202012202010221100110112201
43002002201322111020000
53221432113444100230
644205405052402544
72544241154424541
oct302024172251000
952182127313481
1013334294909440
11428105194105a
1215b4338476454
1375955990853b
14341551b724c8
15181cc7a4a5ca
hexc20a1e95200

13334294909440 has 80 divisors (see below), whose sum is σ = 31975067270520. Its totient is φ = 5333048688640.

The previous prime is 13334294909393. The next prime is 13334294909483. The reversal of 13334294909440 is 4490949243331.

It can be written as a sum of positive squares in 4 ways, for example, as 2434049300736 + 10900245608704 = 1560144^2 + 3301552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×133342949094402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20333880 + ... + 20979400.

Almost surely, 213334294909440 is an apocalyptic number.

13334294909440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13334294909440 is an abundant number, since it is smaller than the sum of its proper divisors (18640772361080).

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

13334294909440 is an frugal number, since it uses more digits than its factorization.

13334294909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653613 (or 653597 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 55.

The spelling of 13334294909440 in words is "thirteen trillion, three hundred thirty-four billion, two hundred ninety-four million, nine hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 8069 16138 32276 40345 64552 80690 129104 161380 258208 322760 516416 645520 645521 1032832 1291040 1291042 2065664 2582080 2582084 3227605 4131328 5164160 5164168 6455210 10328320 10328336 12910420 20656640 20656672 25820840 41313344 51641680 82626688 103283360 165253376 206566720 330506752 413133440 826266880 1652533760 5208708949 10417417898 20834835796 26043544745 41669671592 52087089490 83339343184 104174178980 166678686368 208348357960 333357372736 416696715920 666714745472 833393431840 1333429490944 1666786863680 2666858981888 3333573727360 6667147454720 13334294909440