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13371625440 = 2532519488729
BaseRepresentation
bin11000111010000001…
…01100111111100000
31021111220001221201200
430131000230333200
5204341114003230
610050504201200
7652234640505
oct143500547740
937456057650
1013371625440
115741a30118
122712169200
13135138a104
1490bc654ac
15533dad160
hex31d02cfe0

13371625440 has 144 divisors (see below), whose sum is σ = 48032384400. Its totient is φ = 3378087936.

The previous prime is 13371625439. The next prime is 13371625481. The reversal of 13371625440 is 4452617331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13371625395 and 13371625404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217005 + ... + 271724.

It is an arithmetic number, because the mean of its divisors is an integer number (333558225).

Almost surely, 213371625440 is an apocalyptic number.

13371625440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13371625440 is an abundant number, since it is smaller than the sum of its proper divisors (34660758960).

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

13371625440 is a wasteful number, since it uses less digits than its factorization.

13371625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488769 (or 488758 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13371625440 in words is "thirteen billion, three hundred seventy-one million, six hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 488729 977458 1466187 1954916 2443645 2932374 3909832 4398561 4887290 5864748 7330935 7819664 8797122 9285851 9774580 11729496 14661870 15639328 17594244 18571702 19549160 21992805 23458992 27857553 29323740 35188488 37143404 39098320 43985610 46429255 46917984 55715106 58647480 70376976 74286808 78196640 83572659 87971220 92858510 111430212 117294960 139287765 140753952 148573616 167145318 175942440 185717020 222860424 234589920 278575530 297147232 334290636 351884880 371434040 417863295 445720848 557151060 668581272 703769760 742868080 835726590 891441696 1114302120 1337162544 1485736160 1671453180 2228604240 2674325088 3342906360 4457208480 6685812720 13371625440