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138310419354000 = 2435337623019907
BaseRepresentation
bin11111011100101011100111…
…011010100001000110010000
3200010201100100221011202001020
4133130223213122201012100
5121112034214323312000
61210054532434035440
741063412061535625
oct3734534732410620
9603640327152036
10138310419354000
1140085134a86623
121361959b718b80
135c2380282206a
14262238d6a434c
1510ecb887b3ba0
hex7dcae76a1190

138310419354000 has 160 divisors (see below), whose sum is σ = 457964489813376. Its totient is φ = 35885946585600.

The previous prime is 138310419353993. The next prime is 138310419354047. The reversal of 138310419354000 is 453914013831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311287954 + ... + 311731953.

Almost surely, 2138310419354000 is an apocalyptic number.

138310419354000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138310419354000 is an abundant number, since it is smaller than the sum of its proper divisors (319654070459376).

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

138310419354000 is a wasteful number, since it uses less digits than its factorization.

138310419354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623019970 (or 623019954 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 138310419354000 in words is "one hundred thirty-eight trillion, three hundred ten billion, four hundred nineteen million, three hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 74000 111000 222000 623019907 1246039814 1869059721 2492079628 3115099535 3738119442 4984159256 6230199070 7476238884 9345298605 9968318512 12460398140 14952477768 15575497675 18690597210 23051736559 24920796280 29904955536 31150995350 37381194420 46103473118 46726493025 49841592560 62301990700 69155209677 74762388840 77877488375 92206946236 93452986050 115258682795 124603981400 138310419354 149524777680 155754976750 184413892472 186905972100 230517365590 233632465125 249207962800 276620838708 311509953500 345776048385 368827784944 373811944200 461034731180 467264930250 553241677416 576293413975 623019907000 691552096770 747623888400 922069462360 934529860500 1106483354832 1152586827950 1246039814000 1383104193540 1728880241925 1844138924720 1869059721000 2305173655900 2766208387080 2881467069875 3457760483850 3738119442000 4610347311800 5532416774160 5762934139750 6915520967700 8644401209625 9220694623600 11525868279500 13831041935400 17288802419250 23051736559000 27662083870800 34577604838500 46103473118000 69155209677000 138310419354000