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138745152420 = 22357349946549
BaseRepresentation
bin1000000100110111011…
…0110000001110100100
3111021010101111000110220
42001031312300032210
54233122224334140
6143423314044340
713011143223360
oct2011566601644
9437111430426
10138745152420
1153929026626
1222a815796b0
1310111905b34
146a02b022a0
15392099ebd0
hex204ddb03a4

138745152420 has 96 divisors (see below), whose sum is σ = 445257120000. Its totient is φ = 31622275584.

The previous prime is 138745152409. The next prime is 138745152421. The reversal of 138745152420 is 24251547831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (138745152421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326695 + ... + 619854.

It is an arithmetic number, because the mean of its divisors is an integer number (4638095000).

Almost surely, 2138745152420 is an apocalyptic number.

138745152420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138745152420 is an abundant number, since it is smaller than the sum of its proper divisors (306511967580).

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

138745152420 is a wasteful number, since it uses less digits than its factorization.

138745152420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946917 (or 946915 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 138745152420 in words is "one hundred thirty-eight billion, seven hundred forty-five million, one hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 349 420 698 1047 1396 1745 2094 2443 3490 4188 4886 5235 6980 7329 9772 10470 12215 14658 20940 24430 29316 36645 48860 73290 146580 946549 1893098 2839647 3786196 4732745 5679294 6625843 9465490 11358588 13251686 14198235 18930980 19877529 26503372 28396470 33129215 39755058 56792940 66258430 79510116 99387645 132516860 198775290 330345601 397550580 660691202 991036803 1321382404 1651728005 1982073606 2312419207 3303456010 3964147212 4624838414 4955184015 6606912020 6937257621 9249676828 9910368030 11562096035 13874515242 19820736060 23124192070 27749030484 34686288105 46248384140 69372576210 138745152420