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114032501212104 = 233215017105466121
BaseRepresentation
bin11001111011011001000010…
…101110100100001111001000
3112221202101211002000010101200
4121323121002232210033020
5104421302030302241404
61042305450255344200
733006401453336256
oct3173310256441710
9487671732003350
10114032501212104
1133374a04127532
1210958319b22060
134b822ac6c7037
1420232b99735d6
15d2b3a8bb1839
hex67b642ba43c8

114032501212104 has 48 divisors (see below), whose sum is σ = 308858592938220. Its totient is φ = 38008302190080.

The previous prime is 114032501212087. The next prime is 114032501212111. The reversal of 114032501212104 is 401212105230411.

114032501212104 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 32 + 501 + 2 + 121 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112649990868900 + 1382510343204 = 10613670^2 + 1175802^2 .

It is a super-2 number, since 2×1140325012121042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51651837 + ... + 53814284.

Almost surely, 2114032501212104 is an apocalyptic number.

It is an amenable number.

114032501212104 is an abundant number, since it is smaller than the sum of its proper divisors (194826091726116).

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

114032501212104 is a wasteful number, since it uses less digits than its factorization.

114032501212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105481150 (or 105481143 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114032501212104 its reverse (401212105230411), we get a palindrome (515244606442515).

The spelling of 114032501212104 in words is "one hundred fourteen trillion, thirty-two billion, five hundred one million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15017 30034 45051 60068 90102 120136 135153 180204 270306 360408 540612 1081224 105466121 210932242 316398363 421864484 632796726 843728968 949195089 1265593452 1898390178 2531186904 3796780356 7593560712 1583784739057 3167569478114 4751354217171 6335138956228 9502708434342 12670277912456 14254062651513 19005416868684 28508125303026 38010833737368 57016250606052 114032501212104