Search a number
-
+
138881544160 = 2553072827393
BaseRepresentation
bin1000000101010111111…
…1000010111111100000
3111021110220010102202211
42001111333002333200
54233412133403120
6143445025251504
713014420435052
oct2012577027740
9437426112684
10138881544160
1153999013777
1222abb193b94
1310133c4b9c8
146a16c878d2
15392c94225a
hex2055fc2fe0

138881544160 has 48 divisors (see below), whose sum is σ = 329176519056. Its totient is φ = 55371644928.

The previous prime is 138881544157. The next prime is 138881544167. The reversal of 138881544160 is 61445188831.

138881544160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138881544167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1364577 + ... + 1462816.

It is an arithmetic number, because the mean of its divisors is an integer number (6857844147).

Almost surely, 2138881544160 is an apocalyptic number.

138881544160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138881544160 is an abundant number, since it is smaller than the sum of its proper divisors (190294974896).

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

138881544160 is a wasteful number, since it uses less digits than its factorization.

138881544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827715 (or 2827707 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 138881544160 in words is "one hundred thirty-eight billion, eight hundred eighty-one million, five hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 307 614 1228 1535 2456 3070 4912 6140 9824 12280 24560 49120 2827393 5654786 11309572 14136965 22619144 28273930 45238288 56547860 90476576 113095720 226191440 452382880 868009651 1736019302 3472038604 4340048255 6944077208 8680096510 13888154416 17360193020 27776308832 34720386040 69440772080 138881544160