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14214542102140 = 22517711399420899
BaseRepresentation
bin1100111011011001010010…
…1110111000111001111100
31212022220012212201222011111
43032312110232320321330
53330342340234232030
650122023120531404
72664652414211602
oct316662456707174
955286185658144
1014214542102140
114590398498416
121716a59480b64
137c156bc88693
14371db7a1b872
15199b45d8862a
hexced94bb8e7c

14214542102140 has 96 divisors (see below), whose sum is σ = 32074600320000. Its totient is φ = 5272202019840.

The previous prime is 14214542102051. The next prime is 14214542102171. The reversal of 14214542102140 is 4120124541241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33561411 + ... + 33982309.

It is an arithmetic number, because the mean of its divisors is an integer number (334110420000).

Almost surely, 214214542102140 is an apocalyptic number.

14214542102140 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 14214542102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16037300160000).

14214542102140 is an abundant number, since it is smaller than the sum of its proper divisors (17860058217860).

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

14214542102140 is a wasteful number, since it uses less digits than its factorization.

14214542102140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422395 (or 422393 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

Adding to 14214542102140 its reverse (4120124541241), we get a palindrome (18334666643381).

The spelling of 14214542102140 in words is "fourteen trillion, two hundred fourteen billion, five hundred forty-two million, one hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1399 1420 2414 2798 4828 5596 6035 6995 12070 13990 23783 24140 27980 47566 95132 99329 118915 198658 237830 397316 420899 475660 496645 841798 993290 1683596 1688593 1986580 2104495 3377186 4208990 6754372 7155283 8417980 8442965 14310566 16885930 28621132 29883829 33771860 35776415 59767658 71552830 119535316 143105660 149419145 298838290 508025093 588837701 597676580 1016050186 1177675402 2032100372 2355350804 2540125465 2944188505 5080250930 5888377010 10010240917 10160501860 11776754020 20020481834 40040963668 41807476771 50051204585 83614953542 100102409170 167229907084 200204818340 209037383855 418074767710 710727105107 836149535420 1421454210214 2842908420428 3553635525535 7107271051070 14214542102140