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138826240320 = 2635144610667
BaseRepresentation
bin1000000101001010110…
…0000101000101000000
3111021100001001201011110
42001102230011011000
54233304004142240
6143435332043320
713013146400265
oct2012254050500
9437301051143
10138826240320
115396a880119
1222aa4763540
1310125657441
146a0d7ad26c
153927b6ac80
hex2052b05140

138826240320 has 56 divisors (see below), whose sum is σ = 440773316064. Its totient is φ = 37020330496.

The previous prime is 138826240307. The next prime is 138826240321. The reversal of 138826240320 is 23042628831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138826240321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72304374 + ... + 72306293.

Almost surely, 2138826240320 is an apocalyptic number.

138826240320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138826240320 is an abundant number, since it is smaller than the sum of its proper divisors (301947075744).

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

138826240320 is a wasteful number, since it uses less digits than its factorization.

138826240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144610687 (or 144610677 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 138826240320 in words is "one hundred thirty-eight billion, eight hundred twenty-six million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 144610667 289221334 433832001 578442668 723053335 867664002 1156885336 1446106670 1735328004 2169160005 2313770672 2892213340 3470656008 4338320010 4627541344 5784426680 6941312016 8676640020 9255082688 11568853360 13882624032 17353280040 23137706720 27765248064 34706560080 46275413440 69413120160 138826240320