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138728439000 = 23325315414271
BaseRepresentation
bin1000000100110011011…
…0111111110011011000
3111021002020000212222100
42001030312333303120
54233103440022000
6143421515523400
713010551163244
oct2011466776330
9437066025870
10138728439000
115391a650588
1222a77a59560
131010b303638
146a007d1424
15391e29ca00
hex204cdbfcd8

138728439000 has 96 divisors (see below), whose sum is σ = 468902154240. Its totient is φ = 36994248000.

The previous prime is 138728438999. The next prime is 138728439041. The reversal of 138728439000 is 934827831.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7698136 + ... + 7716135.

It is an arithmetic number, because the mean of its divisors is an integer number (4884397440).

Almost surely, 2138728439000 is an apocalyptic number.

138728439000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138728439000 is an abundant number, since it is smaller than the sum of its proper divisors (330173715240).

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

138728439000 is a wasteful number, since it uses less digits than its factorization.

138728439000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15414298 (or 15414281 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 138728439000 in words is "one hundred thirty-eight billion, seven hundred twenty-eight million, four hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 15414271 30828542 46242813 61657084 77071355 92485626 123314168 138728439 154142710 184971252 231214065 277456878 308285420 369942504 385356775 462428130 554913756 616570840 693642195 770713550 924856260 1109827512 1156070325 1387284390 1541427100 1849712520 1926783875 2312140650 2774568780 3082854200 3468210975 3853567750 4624281300 5549137560 5780351625 6936421950 7707135500 9248562600 11560703250 13872843900 15414271000 17341054875 23121406500 27745687800 34682109750 46242813000 69364219500 138728439000