Search a number
-
+
14231101453104 = 2437312773180413
BaseRepresentation
bin1100111100010110111110…
…1111110011001100110000
31212101110221221002011020110
43033011233233303030300
53331130243432444404
650133402221141320
72666106650321004
oct317055757631460
955343857064213
1014231101453104
114597415847938
12171a0bb0ba840
137c2caa8a73c3
14372b08d94704
1519a2b4a1cb89
hexcf16fbf3330

14231101453104 has 80 divisors (see below), whose sum is σ = 37296485988192. Its totient is φ = 4675052980224.

The previous prime is 14231101453073. The next prime is 14231101453123. The reversal of 14231101453104 is 40135410113241.

It is a happy number.

It is a super-2 number, since 2×142311014531042 (a number of 27 digits) contains 22 as substring.

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, 2884402 + ... + 6064814.

Almost surely, 214231101453104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14231101453104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648242994096).

14231101453104 is an abundant number, since it is smaller than the sum of its proper divisors (23065384535088).

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

14231101453104 is a wasteful number, since it uses less digits than its factorization.

14231101453104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181774 (or 3181768 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 14231101453104 its reverse (40135410113241), we get a palindrome (54366511566345).

The spelling of 14231101453104 in words is "fourteen trillion, two hundred thirty-one billion, one hundred one million, four hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1277 1752 2554 3504 3831 5108 7662 10216 15324 20432 30648 61296 93221 186442 279663 372884 559326 745768 1118652 1491536 2237304 3180413 4474608 6360826 9541239 12721652 19082478 25443304 38164956 50886608 76329912 152659824 232170149 464340298 696510447 928680596 1393020894 1857361192 2786041788 3714722384 4061387401 5572083576 8122774802 11144167152 12184162203 16245549604 24368324406 32491099208 48736648812 64982198416 97473297624 194946595248 296481280273 592962560546 889443840819 1185925121092 1778887681638 2371850242184 3557775363276 4743700484368 7115550726552 14231101453104