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140023402314400 = 25521119183307593
BaseRepresentation
bin11111110101100110111101…
…001001111011101010100000
3200100210002212122211021210101
4133311212331021323222200
5121323120411443030100
61213445510223512144
741331233304466663
oct3765467511735240
9610702778737711
10140023402314400
1140685656227450
1213855582158654
1360191c4c41707
1426812513c36da
15112c4e3cba86a
hex7f59bd27baa0

140023402314400 has 144 divisors (see below), whose sum is σ = 374860180412928. Its totient is φ = 50651015936000.

The previous prime is 140023402314283. The next prime is 140023402314403. The reversal of 140023402314400 is 4413204320041.

140023402314400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140023402314403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39972997 + ... + 43334596.

It is an arithmetic number, because the mean of its divisors is an integer number (2603195697312).

Almost surely, 2140023402314400 is an apocalyptic number.

140023402314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140023402314400 is an abundant number, since it is smaller than the sum of its proper divisors (234836778098528).

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

140023402314400 is a wasteful number, since it uses less digits than its factorization.

140023402314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83307815 (or 83307802 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 140023402314400 its reverse (4413204320041), we get a palindrome (144436606634441).

The spelling of 140023402314400 in words is "one hundred forty trillion, twenty-three billion, four hundred two million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 191 200 220 275 352 382 400 440 550 764 800 880 955 1100 1528 1760 1910 2101 2200 3056 3820 4202 4400 4775 6112 7640 8404 8800 9550 10505 15280 16808 19100 21010 30560 33616 38200 42020 52525 67232 76400 84040 105050 152800 168080 210100 336160 420200 840400 1680800 83307593 166615186 333230372 416537965 666460744 833075930 916383523 1332921488 1666151860 1832767046 2082689825 2665842976 3332303720 3665534092 4165379650 4581917615 6664607440 7331068184 8330759300 9163835230 13329214880 14662136368 15911750263 16661518600 18327670460 22909588075 29324272736 31823500526 33323037200 36655340920 45819176150 63647001052 66646074400 73310681840 79558751315 91638352300 127294002104 146621363680 159117502630 175029252893 183276704600 254588004208 318235005260 350058505786 366553409200 397793756575 509176008416 636470010520 700117011572 733106818400 795587513150 875146264465 1272940021040 1400234023144 1591175026300 1750292528930 2545880042080 2800468046288 3182350052600 3500585057860 4375731322325 5600936092576 6364700105200 7001170115720 8751462644650 12729400210400 14002340231440 17502925289300 28004680462880 35005850578600 70011701157200 140023402314400