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140746888696320 = 293256108805933
BaseRepresentation
bin100000000000001000110000…
…010011011101001000000000
3200110100021022200002111200100
4200000020300103131020000
5121421444112001240240
61215202121131522400
741434425052331124
oct4000106023351000
9613307280074610
10140746888696320
1140934469450435
12139518342b9400
13606c4b416525a
1426a8285a25584
151141239c0ae30
hex8002304dd200

140746888696320 has 120 divisors (see below), whose sum is σ = 487446060697596. Its totient is φ = 37532503646208.

The previous prime is 140746888696319. The next prime is 140746888696373. The reversal of 140746888696320 is 23696888647041.

140746888696320 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 468 + 8 + 86 + 9 + 63 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136018664591616 + 4728224104704 = 11662704^2 + 2174448^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3054379927 + ... + 3054426006.

Almost surely, 2140746888696320 is an apocalyptic number.

140746888696320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140746888696320 is an abundant number, since it is smaller than the sum of its proper divisors (346699172001276).

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

140746888696320 is an equidigital number, since it uses as much as digits as its factorization.

140746888696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108805962 (or 6108805943 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 140746888696320 in words is "one hundred forty trillion, seven hundred forty-six billion, eight hundred eighty-eight million, six hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 6108805933 12217611866 18326417799 24435223732 30544029665 36652835598 48870447464 54979253397 61088059330 73305671196 91632088995 97740894928 109958506794 122176118660 146611342392 183264177990 195481789856 219917013588 244352237320 274896266985 293222684784 366528355980 390963579712 439834027176 488704474640 549792533970 586445369568 733056711960 781927159424 879668054352 977408949280 1099585067940 1172890739136 1466113423920 1563854318848 1759336108704 1954817898560 2199170135880 2345781478272 2932226847840 3127708637696 3518672217408 3909635797120 4398340271760 4691562956544 5864453695680 7037344434816 7819271594240 8796680543520 9383125913088 11728907391360 14074688869632 15638543188480 17593361087040 23457814782720 28149377739264 35186722174080 46915629565440 70373444348160 140746888696320