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138159394000 = 2453557124021
BaseRepresentation
bin1000000010101011110…
…0010000110011010000
3111012121120021101222121
42000222330100303100
54230422301102000
6143245231144024
712660501321025
oct2005274206320
9435546241877
10138159394000
1153658415661
1222939375014
131004a455614
146988dc554c
1538d9346b1a
hex202af10cd0

138159394000 has 80 divisors (see below), whose sum is σ = 334671878736. Its totient is φ = 55164096000.

The previous prime is 138159393971. The next prime is 138159394001. The reversal of 138159394000 is 493951831.

It can be written as a sum of positive squares in 8 ways, for example, as 39749194384 + 98410199616 = 199372^2 + 313704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138159394001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051990 + ... + 1176010.

Almost surely, 2138159394000 is an apocalyptic number.

138159394000 is a gapful number since it is divisible by the number (10) 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 138159394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167335939368).

138159394000 is an abundant number, since it is smaller than the sum of its proper divisors (196512484736).

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

138159394000 is a wasteful number, since it uses less digits than its factorization.

138159394000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124601 (or 124585 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 138159394000 in words is "one hundred thirty-eight billion, one hundred fifty-nine million, three hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 557 1000 1114 2000 2228 2785 4456 5570 8912 11140 13925 22280 27850 44560 55700 69625 111400 124021 139250 222800 248042 278500 496084 557000 620105 992168 1114000 1240210 1984336 2480420 3100525 4960840 6201050 9921680 12402100 15502625 24804200 31005250 49608400 62010500 69079697 124021000 138159394 248042000 276318788 345398485 552637576 690796970 1105275152 1381593940 1726992425 2763187880 3453984850 5526375760 6907969700 8634962125 13815939400 17269924250 27631878800 34539848500 69079697000 138159394000