Search a number
-
+
13731132390400 = 21052536372359
BaseRepresentation
bin1100011111010000011101…
…0001001011110000000000
31210121200110020002012222201
43013310013101023300000
53244432324342443100
645111554541042544
72615020155362455
oct307640721136000
953550406065881
1013731132390400
1144143822a0057
121659228556454
13787abcc9c129
14356839d0582c
1518c2a199b36a
hexc7d0744bc00

13731132390400 has 66 divisors (see below), whose sum is σ = 34036580848520. Its totient is φ = 5492452945920.

The previous prime is 13731132390397. The next prime is 13731132390413. The reversal of 13731132390400 is 409323113731.

It is a self number, because there is not a number n which added to its sum of digits gives 13731132390400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 268160580 + ... + 268211779.

Almost surely, 213731132390400 is an apocalyptic number.

13731132390400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13731132390400 is an abundant number, since it is smaller than the sum of its proper divisors (20305448458120).

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

13731132390400 is an equidigital number, since it uses as much as digits as its factorization.

13731132390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536372389 (or 536372366 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 13731132390400 in words is "thirteen trillion, seven hundred thirty-one billion, one hundred thirty-two million, three hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 536372359 1072744718 2145489436 2681861795 4290978872 5363723590 8581957744 10727447180 13409308975 17163915488 21454894360 26818617950 34327830976 42909788720 53637235900 68655661952 85819577440 107274471800 137311323904 171639154880 214548943600 274622647808 343278309760 429097887200 549245295616 686556619520 858195774400 1373113239040 1716391548800 2746226478080 3432783097600 6865566195200 13731132390400