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4114755106 = 27211171131987
BaseRepresentation
bin1111010101000010…
…0010111000100010
3101121202122012212021
43311100202320202
531411334130411
61520145252054
7203652561400
oct36520427042
911552565767
104114755106
111821743460
1296a03402a
13507630247
142b06a6470
15191391a71
hexf5422e22

4114755106 has 96 divisors (see below), whose sum is σ = 8370879552. Its totient is φ = 1494743040.

The previous prime is 4114755101. The next prime is 4114755143. The reversal of 4114755106 is 6015574114.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (4114755101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069845 + ... + 2071831.

It is an arithmetic number, because the mean of its divisors is an integer number (87196662).

Almost surely, 24114755106 is an apocalyptic number.

4114755106 is an abundant number, since it is smaller than the sum of its proper divisors (4256124446).

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

4114755106 is a wasteful number, since it uses less digits than its factorization.

4114755106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 4114755106 is about 64146.3569191579. The cubic root of 4114755106 is about 1602.4383532270.

The spelling of 4114755106 in words is "four billion, one hundred fourteen million, seven hundred fifty-five thousand, one hundred six".

Divisors: 1 2 7 11 14 17 22 34 49 77 98 113 119 154 187 226 238 374 539 791 833 1078 1243 1309 1582 1666 1921 1987 2486 2618 3842 3974 5537 8701 9163 11074 13447 13909 17402 18326 21131 21857 26894 27818 33779 42262 43714 60907 67558 94129 97363 121814 147917 152999 188258 194726 224531 236453 295834 305998 371569 449062 472906 743138 1035419 1070993 1571717 1655171 2070838 2141986 2469841 2600983 3143434 3310342 3817027 4939682 5201966 7634054 11002019 17288887 18206881 22004038 26719189 34577774 36413762 41987297 53438378 83974594 121022209 187034323 242044418 293911079 374068646 587822158 2057377553 4114755106