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114474327201 = 321317414729867
BaseRepresentation
bin110101010011100110…
…0111001110010100001
3101221110220122100102100
41222213030321302201
53333420411432301
6124331102041013
711161531504113
oct1524714716241
9357426570370
10114474327201
1144603856393
121a229279169
13aa444851b0
14577d5293b3
152e9ed14286
hex1aa7339ca1

114474327201 has 96 divisors (see below), whose sum is σ = 197260697088. Its totient is φ = 63306362880.

The previous prime is 114474327193. The next prime is 114474327271. The reversal of 114474327201 is 102723474411.

114474327201 is a `hidden beast` number, since 1 + 1 + 447 + 4 + 3 + 2 + 7 + 201 = 666.

It is not a de Polignac number, because 114474327201 - 23 = 114474327193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114474327271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3817870 + ... + 3847736.

It is an arithmetic number, because the mean of its divisors is an integer number (2054798928).

Almost surely, 2114474327201 is an apocalyptic number.

It is an amenable number.

114474327201 is a deficient number, since it is larger than the sum of its proper divisors (82786369887).

114474327201 is a wasteful number, since it uses less digits than its factorization.

114474327201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29991 (or 29988 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 114474327201 in words is "one hundred fourteen billion, four hundred seventy-four million, three hundred twenty-seven thousand, two hundred one".

Divisors: 1 3 9 13 17 39 41 47 51 117 123 141 153 221 369 423 533 611 663 697 799 1599 1833 1927 1989 2091 2397 4797 5499 5781 6273 7191 9061 10387 17343 25051 27183 29867 31161 32759 75153 81549 89601 93483 98277 225459 268803 294831 388271 425867 507739 1164813 1224547 1277601 1403749 1523217 3494439 3673641 3832803 4211247 4569651 6600607 11020923 12633741 15919111 18248737 19801821 20817299 23863733 47757333 54746211 57553709 59405463 62451897 71591199 143271999 164238633 172661127 187355691 214773597 270624887 310228529 517983381 748198217 811874661 930685587 978413053 2244594651 2435623983 2792056761 2935239159 6733783953 8805717477 12719369689 38158109067 114474327201