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138941356800 = 283527236529
BaseRepresentation
bin1000000101100110001…
…1001101101100000000
3111021122001200020021210
42001121203031230000
54234022441404200
6143455003250120
713016045021661
oct2013143155400
9437561606253
10138941356800
1153a19856904
1222b17219940
13101434615bc
146a20bb7368
153932d09650
hex20598cdb00

138941356800 has 108 divisors (see below), whose sum is σ = 458535486920. Its totient is φ = 37051023360.

The previous prime is 138941356727. The next prime is 138941356837. The reversal of 138941356800 is 8653149831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138941356800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3599065 + ... + 3637464.

Almost surely, 2138941356800 is an apocalyptic number.

138941356800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138941356800 is an abundant number, since it is smaller than the sum of its proper divisors (319594130120).

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

138941356800 is an equidigital number, since it uses as much as digits as its factorization.

138941356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236558 (or 7236539 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 138941356800 in words is "one hundred thirty-eight billion, nine hundred forty-one million, three hundred fifty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 7236529 14473058 21709587 28946116 36182645 43419174 57892232 72365290 86838348 108547935 115784464 144730580 173676696 180913225 217095870 231568928 289461160 347353392 361826450 434191740 463137856 542739675 578922320 694706784 723652900 868383480 926275712 1085479350 1157844640 1389413568 1447305800 1736766960 1852551424 2170958700 2315689280 2778827136 2894611600 3473533920 4341917400 4631378560 5557654272 5789223200 6947067840 8683834800 9262757120 11578446400 13894135680 17367669600 23156892800 27788271360 34735339200 46313785600 69470678400 138941356800