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138896871040 = 275534094837
BaseRepresentation
bin1000000101011011100…
…1100000111010000000
3111021111221222010022001
42001112321200322000
54233430044333130
6143450333553344
713014664631614
oct2012671407200
9437457863261
10138896871040
11539a6732014
1222b04345854
1310137187075
146a18d17344
15392de6d6ca
hex2056e60e80

138896871040 has 64 divisors (see below), whose sum is σ = 338315515560. Its totient is φ = 54510456832.

The previous prime is 138896871031. The next prime is 138896871049. The reversal of 138896871040 is 40178698831.

It is an interprime number because it is at equal distance from previous prime (138896871031) and next prime (138896871049).

It can be written as a sum of positive squares in 4 ways, for example, as 83400819264 + 55496051776 = 288792^2 + 235576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (138896871049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2013499 + ... + 2081338.

Almost surely, 2138896871040 is an apocalyptic number.

138896871040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138896871040 is an abundant number, since it is smaller than the sum of its proper divisors (199418644520).

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

138896871040 is an equidigital number, since it uses as much as digits as its factorization.

138896871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094909 (or 4094897 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 138896871040 in words is "one hundred thirty-eight billion, eight hundred ninety-six million, eight hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1060 1696 2120 3392 4240 6784 8480 16960 33920 4094837 8189674 16379348 20474185 32758696 40948370 65517392 81896740 131034784 163793480 217026361 262069568 327586960 434052722 524139136 655173920 868105444 1085131805 1310347840 1736210888 2170263610 2620695680 3472421776 4340527220 6944843552 8681054440 13889687104 17362108880 27779374208 34724217760 69448435520 138896871040