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13331054454340 = 2257137784188643
BaseRepresentation
bin1100000111111110000011…
…0000111110011001000100
31202012102210002212021211011
43001333200300332121010
53221403444420014330
644204111334252004
72544064646132560
oct301774060763104
952172702767734
1013331054454340
11427a739777197
1215b37931b7004
13759161473c9c
143413256566a0
15181b8830a82a
hexc1fe0c3e644

13331054454340 has 96 divisors (see below), whose sum is σ = 32232541227264. Its totient is φ = 4536655011840.

The previous prime is 13331054454317. The next prime is 13331054454397. The reversal of 13331054454340 is 4345445013331.

It is a junction number, because it is equal to n+sod(n) for n = 13331054454293 and 13331054454302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150346059 + ... + 150434701.

It is an arithmetic number, because the mean of its divisors is an integer number (335755637784).

Almost surely, 213331054454340 is an apocalyptic number.

13331054454340 is a gapful number since it is divisible by the number (10) 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 13331054454340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116270613632).

13331054454340 is an abundant number, since it is smaller than the sum of its proper divisors (18901486772924).

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

13331054454340 is a wasteful number, since it uses less digits than its factorization.

13331054454340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96637 (or 96635 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 13331054454340 its reverse (4345445013331), we get a palindrome (17676499467671).

The spelling of 13331054454340 in words is "thirteen trillion, three hundred thirty-one billion, fifty-four million, four hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3836 4795 7841 9590 15682 19180 31364 39205 54887 78410 88643 109774 156820 177286 219548 274435 354572 443215 548870 620501 886430 1074217 1097740 1241002 1772860 2148434 2482004 3102505 4296868 5371085 6205010 7519519 10742170 12144091 12410020 15039038 21484340 24288182 30078076 37597595 48576364 60720455 75195190 85008637 121440910 150390380 170017274 242881820 340034548 425043185 695049763 850086370 1390099526 1700172740 2780199052 3475248815 4865348341 6950497630 9730696682 13900995260 19461393364 24326741705 48653483410 95221817531 97306966820 190443635062 380887270124 476109087655 666552722717 952218175310 1333105445434 1904436350620 2666210890868 3332763613585 6665527227170 13331054454340