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138060888030 = 232513118000759
BaseRepresentation
bin1000000010010100010…
…0011111011111011110
3111012100200220210012100
42000211010133133132
54230222041404110
6143231351545530
712655164120432
oct2004504373736
9435320823170
10138060888030
115360785466a
122291038b2a6
1310032c15b70
146979ca29c2
1538d0889bc0
hex202511f7de

138060888030 has 48 divisors (see below), whose sum is σ = 386570489760. Its totient is φ = 33984218304.

The previous prime is 138060888029. The next prime is 138060888071. The reversal of 138060888030 is 30888060831.

138060888030 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 608 + 8 + 8 + 0 + 30 = 666.

138060888030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58999210 + ... + 59001549.

It is an arithmetic number, because the mean of its divisors is an integer number (8053551870).

Almost surely, 2138060888030 is an apocalyptic number.

138060888030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138060888030 is an abundant number, since it is smaller than the sum of its proper divisors (248509601730).

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

138060888030 is a wasteful number, since it uses less digits than its factorization.

138060888030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118000785 (or 118000782 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 138060888030 in words is "one hundred thirty-eight billion, sixty million, eight hundred eighty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 118000759 236001518 354002277 590003795 708004554 1062006831 1180007590 1534009867 1770011385 2124013662 3068019734 3540022770 4602029601 5310034155 7670049335 9204059202 10620068310 13806088803 15340098670 23010148005 27612177606 46020296010 69030444015 138060888030