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14067196056320 = 2851117223297173
BaseRepresentation
bin1100110010110100011000…
…1110010101001100000000
31211210210220002011022000012
43030231012032111030000
53320434104142300240
645530214115444052
72651215142405231
oct314550616251400
954723802138005
1014067196056320
114533956496330
1216b23975b6628
137b06b94c0314
14368bda915088
15195dc0295b65
hexccb46395300

14067196056320 has 1728 divisors, whose sum is σ = 43329979607040. Its totient is φ = 4323645849600.

The previous prime is 14067196056301. The next prime is 14067196056359. The reversal of 14067196056320 is 2365069176041.

It is a super-2 number, since 2×140671960563202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192701315804 + ... + 192701315876.

It is an arithmetic number, because the mean of its divisors is an integer number (25075219680).

Almost surely, 214067196056320 is an apocalyptic number.

14067196056320 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 14067196056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21664989803520).

14067196056320 is an abundant number, since it is smaller than the sum of its proper divisors (29262783550720).

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

14067196056320 is a wasteful number, since it uses less digits than its factorization.

14067196056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 14067196056320 in words is "fourteen trillion, sixty-seven billion, one hundred ninety-six million, fifty-six thousand, three hundred twenty".