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1309318949760 = 27351652941257
BaseRepresentation
bin10011000011011001011…
…111011010101110000000
311122011120200121011001120
4103003121133122232000
5132422441122343020
62441254241032240
7163411100305203
oct23033137325600
94564520534046
101309318949760
11465308460068
12191908325680
139661197b8b3
144752b0a793a
15240d2105740
hex130d97dab80

1309318949760 has 128 divisors (see below), whose sum is σ = 4173807808800. Its totient is φ = 349122134016.

The previous prime is 1309318949753. The next prime is 1309318949773. The reversal of 1309318949760 is 679498139031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13093189497602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1309318949694 and 1309318949703.

It is a congruent 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, 31715052 + ... + 31756308.

Almost surely, 21309318949760 is an apocalyptic number.

1309318949760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1309318949760 is an abundant number, since it is smaller than the sum of its proper divisors (2864488859040).

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

1309318949760 is a wasteful number, since it uses less digits than its factorization.

1309318949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57808 (or 57796 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 1309318949760 in words is "one trillion, three hundred nine billion, three hundred eighteen million, nine hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 16529 33058 41257 49587 66116 82514 82645 99174 123771 132232 165028 165290 198348 206285 247542 247935 264464 330056 330580 396696 412570 495084 495870 528928 618855 660112 661160 793392 825140 990168 991740 1057856 1237710 1320224 1322320 1586784 1650280 1980336 1983480 2115712 2475420 2640448 2644640 3173568 3300560 3960672 3966960 4950840 5280896 5289280 6347136 6601120 7921344 7933920 9901680 10578560 13202240 15842688 15867840 19803360 26404480 31735680 39606720 79213440 681936953 1363873906 2045810859 2727747812 3409684765 4091621718 5455495624 6819369530 8183243436 10229054295 10910991248 13638739060 16366486872 20458108590 21821982496 27277478120 32732973744 40916217180 43643964992 54554956240 65465947488 81832434360 87287929984 109109912480 130931894976 163664868720 218219824960 261863789952 327329737440 436439649920 654659474880 1309318949760