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114500644164 = 223297181181157
BaseRepresentation
bin110101010100011000…
…1010010110101000100
3101221112202011101111200
41222220301102311010
53333444131103124
6124333442102500
711162301263004
oct1525061226504
9357482141450
10114500644164
11446176a0745
121a23604aa30
13aa49a6a96a
145782c1a004
152ea22b1bc9
hex1aa8c52d44

114500644164 has 72 divisors (see below), whose sum is σ = 294033202008. Its totient is φ = 37564508160.

The previous prime is 114500644157. The next prime is 114500644211. The reversal of 114500644164 is 461446005411.

114500644164 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 0 + 644 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115992900 + 114384651264 = 10770^2 + 338208^2 .

It is a super-2 number, since 2×1145006441642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541474 + ... + 722630.

Almost surely, 2114500644164 is an apocalyptic number.

It is an amenable number.

114500644164 is an abundant number, since it is smaller than the sum of its proper divisors (179532557844).

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

114500644164 is a wasteful number, since it uses less digits than its factorization.

114500644164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181445 (or 181440 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 114500644164 its reverse (461446005411), we get a palindrome (575946649575).

The spelling of 114500644164 in words is "one hundred fourteen billion, five hundred million, six hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 181 194 291 362 388 543 582 724 873 1086 1164 1629 1746 2172 3258 3492 6516 17557 35114 52671 70228 105342 158013 181157 210684 316026 362314 543471 632052 724628 1086942 1630413 2173884 3260826 6521652 17572229 32789417 35144458 52716687 65578834 70288916 98368251 105433374 131157668 158150061 196736502 210866748 295104753 316300122 393473004 590209506 632600244 1180419012 3180573449 6361146898 9541720347 12722293796 19083440694 28625161041 38166881388 57250322082 114500644164