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2931344368740 = 22325592111308157
BaseRepresentation
bin101010101010000001101…
…111010110010001100100
3101101020022102120211210100
4222222001233112101210
5341011343124244430
610122350243024100
7421532306006604
oct52520157262144
911336272524710
102931344368740
11a301a3526857
123b414536b030
13183569a86718
14a1c40a70c04
15513b7189960
hex2aa81bd6464

2931344368740 has 144 divisors (see below), whose sum is σ = 9085314288960. Its totient is φ = 764800323840.

The previous prime is 2931344368669. The next prime is 2931344368753. The reversal of 2931344368740 is 478634431392.

It is a happy number.

2931344368740 is a `hidden beast` number, since 2 + 9 + 3 + 134 + 436 + 8 + 74 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1586742 + ... + 2894898.

It is an arithmetic number, because the mean of its divisors is an integer number (63092460340).

Almost surely, 22931344368740 is an apocalyptic number.

2931344368740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2931344368740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542657144480).

2931344368740 is an abundant number, since it is smaller than the sum of its proper divisors (6153969920220).

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

2931344368740 is a wasteful number, since it uses less digits than its factorization.

2931344368740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308442 (or 1308437 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 2931344368740 in words is "two trillion, nine hundred thirty-one billion, three hundred forty-four million, three hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 211 236 295 354 422 531 590 633 708 844 885 1055 1062 1180 1266 1770 1899 2110 2124 2532 2655 3165 3540 3798 4220 5310 6330 7596 9495 10620 12449 12660 18990 24898 37347 37980 49796 62245 74694 112041 124490 149388 186735 224082 248980 373470 448164 560205 746940 1120410 1308157 2240820 2616314 3924471 5232628 6540785 7848942 11773413 13081570 15697884 19622355 23546826 26163140 39244710 47093652 58867065 77181263 78489420 117734130 154362526 231543789 235468260 276021127 308725052 385906315 463087578 552042254 694631367 771812630 828063381 926175156 1104084508 1157718945 1380105635 1389262734 1543625260 1656126762 2315437890 2484190143 2760211270 2778525468 3312253524 3473156835 4140316905 4630875780 4968380286 5520422540 6946313670 8280633810 9936760572 12420950715 13892627340 16285246493 16561267620 24841901430 32570492986 48855739479 49683802860 65140985972 81426232465 97711478958 146567218437 162852464930 195422957916 244278697395 293134436874 325704929860 488557394790 586268873748 732836092185 977114789580 1465672184370 2931344368740