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140223203210440 = 235714930710948061
BaseRepresentation
bin11111111000100001000010…
…001101110111010011001000
3200101111012121010110110000001
4133320201002031313103020
5121334404110010213230
61214121352242252344
741351535460210660
oct3770410215672310
9611435533413001
10140223203210440
1140752365667919
12138882430570b4
136031cb6c2b39c
14268aba6c771a0
1511327d9a110ca
hex7f88423774c8

140223203210440 has 128 divisors (see below), whose sum is σ = 364176334368000. Its totient is φ = 47598311162880.

The previous prime is 140223203210429. The next prime is 140223203210477. The reversal of 140223203210440 is 44012302322041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 140223203210399 and 140223203210408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7334010 + ... + 18282070.

It is an arithmetic number, because the mean of its divisors is an integer number (2845127612250).

Almost surely, 2140223203210440 is an apocalyptic number.

140223203210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140223203210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182088167184000).

140223203210440 is an abundant number, since it is smaller than the sum of its proper divisors (223953131157560).

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

140223203210440 is a wasteful number, since it uses less digits than its factorization.

140223203210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948535 (or 10948531 counting only the distinct ones).

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

Adding to 140223203210440 its reverse (44012302322041), we get a palindrome (184235505532481).

The spelling of 140223203210440 in words is "one hundred forty trillion, two hundred twenty-three billion, two hundred three million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 280 298 307 596 614 745 1043 1192 1228 1490 1535 2086 2149 2456 2980 3070 4172 4298 5215 5960 6140 8344 8596 10430 10745 12280 17192 20860 21490 41720 42980 45743 85960 91486 182972 228715 320201 365944 457430 640402 914860 1280804 1601005 1829720 2561608 3202010 6404020 10948061 12808040 21896122 43792244 54740305 76636427 87584488 109480610 153272854 218961220 306545708 383182135 437922440 613091416 766364270 1532728540 1631261089 3065457080 3262522178 3361054727 6525044356 6722109454 8156305445 11418827623 13050088712 13444218908 16312610890 16805273635 22837655246 23527383089 26888437816 32625221780 33610547270 45675310492 47054766178 57094138115 65250443560 67221094540 91350620984 94109532356 114188276230 117636915445 134442189080 188219064712 228376552460 235273830890 456753104920 470547661780 500797154323 941095323560 1001594308646 2003188617292 2503985771615 3505580080261 4006377234584 5007971543230 7011160160522 10015943086460 14022320321044 17527900401305 20031886172920 28044640642088 35055800802610 70111601605220 140223203210440