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13314040131204 = 2233726431697041
BaseRepresentation
bin1100000110111110101010…
…1000011110111010000100
31202010210212100102010021000
43001233222220132322010
53221114123233144304
644152215142253300
72542623216565131
oct301575250367204
952123770363230
1013314040131204
1142734a861540a
1215b0425127230
1375767c507367
1434058dac9588
151814de754939
hexc1beaa1ee84

13314040131204 has 48 divisors (see below), whose sum is σ = 34518377333440. Its totient is φ = 4437949668480.

The previous prime is 13314040131191. The next prime is 13314040131221. The reversal of 13314040131204 is 40213104041331.

13314040131204 is a `hidden beast` number, since 13 + 3 + 1 + 40 + 401 + 3 + 1 + 204 = 666.

13314040131204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6996924 + ... + 8693964.

Almost surely, 213314040131204 is an apocalyptic number.

It is an amenable number.

13314040131204 is an abundant number, since it is smaller than the sum of its proper divisors (21204337202236).

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

13314040131204 is a wasteful number, since it uses less digits than its factorization.

13314040131204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769697 (or 1769689 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13314040131204 its reverse (40213104041331), we get a palindrome (53527144172535).

The spelling of 13314040131204 in words is "thirteen trillion, three hundred fourteen billion, forty million, one hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 72643 145286 217929 290572 435858 653787 871716 1307574 1697041 1961361 2615148 3394082 3922722 5091123 6788164 7845444 10182246 15273369 20364492 30546738 45820107 61093476 91640214 183280428 123278149363 246556298726 369834448089 493112597452 739668896178 1109503344267 1479337792356 2219006688534 3328510032801 4438013377068 6657020065602 13314040131204