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14140122210 = 2345101307563
BaseRepresentation
bin11010010101101000…
…10010010001100010
31100111110010122010000
431022310102101202
5212424332402320
610255035520430
71010256025044
oct151264222142
940443118100
1014140122210
115aa6804115
1228a75b9116
13144465ca26
14981d4da94
1557b5b0c90
hex34ad12462

14140122210 has 160 divisors (see below), whose sum is σ = 38591163072. Its totient is φ = 3714595200.

The previous prime is 14140122203. The next prime is 14140122211. The reversal of 14140122210 is 1222104141.

14140122210 is a `hidden beast` number, since 1 + 41 + 401 + 2 + 221 + 0 = 666.

It is a super-2 number, since 2×141401222102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14140122211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25115389 + ... + 25115951.

Almost surely, 214140122210 is an apocalyptic number.

14140122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14140122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295581536).

14140122210 is an abundant number, since it is smaller than the sum of its proper divisors (24451040862).

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

14140122210 is a wasteful number, since it uses less digits than its factorization.

14140122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14140122210 its reverse (1222104141), we get a palindrome (15362226351).

The spelling of 14140122210 in words is "fourteen billion, one hundred forty million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 307 405 505 563 606 614 810 909 921 1010 1126 1515 1535 1689 1818 1842 2727 2763 2815 3030 3070 3378 4545 4605 5067 5454 5526 5630 8181 8289 8445 9090 9210 10134 13635 13815 15201 16362 16578 16890 24867 25335 27270 27630 30402 31007 40905 41445 45603 49734 50670 56863 62014 76005 81810 82890 91206 93021 113726 124335 152010 155035 170589 172841 186042 228015 248670 279063 284315 310070 341178 345682 456030 465105 511767 518523 558126 568630 837189 852945 864205 930210 1023534 1037046 1395315 1535301 1555569 1674378 1705890 1728410 2511567 2558835 2592615 2790630 3070602 3111138 4185945 4605903 4666707 5023134 5117670 5185230 7676505 7777845 8371890 9211806 9333414 12557835 14000121 15353010 15555690 17456941 23029515 23333535 25115670 28000242 34913882 46059030 46667070 52370823 70000605 87284705 104741646 140001210 157112469 174569410 261854115 314224938 471337407 523708230 785562345 942674814 1414012221 1571124690 2356687035 2828024442 4713374070 7070061105 14140122210