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141130012608 = 2633132598191
BaseRepresentation
bin1000001101110000000…
…0010001011111000000
3111111021121000110122000
42003130000101133000
54303013240400413
6144500105544000
713124222212464
oct2033400213700
9444247013560
10141130012608
1154942238362
12234281a5000
1310401a20600
146b8b7404a4
153a10035073
hex20dc0117c0

141130012608 has 336 divisors, whose sum is σ = 456936652800. Its totient is φ = 42683397120.

The previous prime is 141130012607. The next prime is 141130012693. The reversal of 141130012608 is 806210031141.

It is a happy number.

141130012608 is a `hidden beast` number, since 1 + 4 + 11 + 30 + 0 + 12 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141130012601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17225793 + ... + 17233983.

Almost surely, 2141130012608 is an apocalyptic number.

141130012608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141130012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228468326400).

141130012608 is an abundant number, since it is smaller than the sum of its proper divisors (315806640192).

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

141130012608 is a wasteful number, since it uses less digits than its factorization.

141130012608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 141130012608 its reverse (806210031141), we get a palindrome (947340043749).

The spelling of 141130012608 in words is "one hundred forty-one billion, one hundred thirty million, twelve thousand, six hundred eight".