Search a number
-
+
13942091414187 = 3329731095474091
BaseRepresentation
bin1100101011100010010101…
…1001111111101010101011
31211100211222022200222221000
43022320211121333222223
53311411400400223222
645352524113050043
72636166010450236
oct312704531775253
954324868628830
1013942091414187
114495898152002
1216920a2256923
137a196c899961
14362b2d66c41d
151929ec0b89ac
hexcae2567faab

13942091414187 has 128 divisors (see below), whose sum is σ = 21903919488000. Its totient is φ = 8751907906560.

The previous prime is 13942091414161. The next prime is 13942091414243. The reversal of 13942091414187 is 78141419024931.

13942091414187 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 209 + 1 + 414 + 18 + 7 = 666.

It is not a de Polignac number, because 13942091414187 - 28 = 13942091413931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13942091414287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3407989012 + ... + 3407993102.

It is an arithmetic number, because the mean of its divisors is an integer number (171124371000).

Almost surely, 213942091414187 is an apocalyptic number.

13942091414187 is a deficient number, since it is larger than the sum of its proper divisors (7961828073813).

13942091414187 is a wasteful number, since it uses less digits than its factorization.

13942091414187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 13942091414187 in words is "thirteen trillion, nine hundred forty-two billion, ninety-one million, four hundred fourteen thousand, one hundred eighty-seven".

Divisors: 1 3 9 27 29 73 87 109 219 261 327 547 657 783 981 1641 1971 2117 2943 3161 4091 4923 6351 7957 9483 12273 14769 15863 19053 23871 28449 36819 39931 47589 57159 59623 71613 85347 110457 118639 119793 142767 178869 214839 230753 298643 355917 359379 428301 445919 536607 692259 895929 1067751 1078137 1157999 1337757 1609821 1729067 2076777 2237777 2687787 3203253 3473997 4013271 4352479 5187201 6230331 6713331 8063361 8660647 10421991 12039813 12931651 13057437 15561603 20139993 25981941 31265973 32552087 38794953 39172311 46684809 60419979 64895533 77945823 97656261 116384859 117516933 126221891 163357721 194686599 233837469 243917693 292968783 349154577 378665673 490073163 584059797 731753079 878906349 944010523 1135997019 1470219489 1752179391 2195259237 2832031569 3407991057 4410658467 4737373909 6585777711 7073613097 8496094707 14212121727 17805991589 21220839291 25488284121 42636365181 53417974767 63662517873 127909095543 160253924301 190987553619 480761772903 516373756081 1549121268243 4647363804729 13942091414187