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1149131082114 = 232118189540157
BaseRepresentation
bin10000101110001101100…
…011001100100110000010
311001212002220212100002200
4100232031203030212002
5122311410024111424
62235523055054030
7146010353015001
oct20561543144602
94055086770080
101149131082114
114033865a1194
12166861811316
1384493814cb2
143d89264cc38
151ed58e088c9
hex10b8d8cc982

1149131082114 has 24 divisors (see below), whose sum is σ = 2489809686780. Its totient is φ = 383039743968.

The previous prime is 1149131082107. The next prime is 1149131082137. The reversal of 1149131082114 is 4112801319411.

It can be written as a sum of positive squares in 2 ways, for example, as 1149040356489 + 90725625 = 1071933^2 + 9525^2 .

It is a super-3 number, since 3×11491310821143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857324 + ... + 2397480.

Almost surely, 21149131082114 is an apocalyptic number.

1149131082114 is an abundant number, since it is smaller than the sum of its proper divisors (1340678604666).

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

1149131082114 is a wasteful number, since it uses less digits than its factorization.

1149131082114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658354 (or 658351 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 1149131082114 in words is "one trillion, one hundred forty-nine billion, one hundred thirty-one million, eighty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 118189 236378 354567 540157 709134 1063701 1080314 1620471 2127402 3240942 4861413 9722826 63840615673 127681231346 191521847019 383043694038 574565541057 1149131082114