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14322214022040 = 23325231729735993
BaseRepresentation
bin1101000001101010011001…
…1110101010101110011000
31212201012010201110020000200
43100122212132222232120
53334123343242201130
650243311223502200
73005513546346531
oct320324636525630
955635121406020
1014322214022040
114622020488491
1217338a85b7960
137cb76b05b2a2
143772ad943688
1519c8488b4760
hexd06a67aab98

14322214022040 has 96 divisors (see below), whose sum is σ = 48570986711520. Its totient is φ = 3653202415104.

The previous prime is 14322214022027. The next prime is 14322214022069. The reversal of 14322214022040 is 4022041222341.

It is a happy number.

14322214022040 is a `hidden beast` number, since 1 + 4 + 32 + 2 + 21 + 402 + 204 + 0 = 666.

14322214022040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14322214021995 and 14322214022013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 864859717 + ... + 864876276.

It is an arithmetic number, because the mean of its divisors is an integer number (505947778245).

Almost surely, 214322214022040 is an apocalyptic number.

14322214022040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14322214022040 is an abundant number, since it is smaller than the sum of its proper divisors (34248772689480).

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

14322214022040 is a wasteful number, since it uses less digits than its factorization.

14322214022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729736033 (or 1729736026 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14322214022040 its reverse (4022041222341), we get a palindrome (18344255244381).

The spelling of 14322214022040 in words is "fourteen trillion, three hundred twenty-two billion, two hundred fourteen million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 1729735993 3459471986 5189207979 6918943972 8648679965 10378415958 13837887944 15567623937 17297359930 20756831916 25946039895 31135247874 34594719860 39783927839 41513663832 51892079790 62270495748 69189439720 77838119685 79567855678 103784159580 119351783517 124540991496 155676239370 159135711356 198919639195 207568319160 238703567034 311352478740 318271422712 358055350551 397839278390 477407134068 596758917585 622704957480 716110701102 795678556780 954814268136 1193517835170 1432221402204 1591357113560 1790276752755 2387035670340 2864442804408 3580553505510 4774071340680 7161107011020 14322214022040