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14060040192 = 212321134673
BaseRepresentation
bin11010001100000101…
…10011000000000000
31100021212110001020100
431012002303000000
5212243332241232
610243055242400
71005264240552
oct150602630000
940255401210
1014060040192
115a65587330
122884819400
131430ba1213
149754654d2
15574542c7c
hex3460b3000

14060040192 has 156 divisors (see below), whose sum is σ = 44306298504. Its totient is φ = 4260495360.

The previous prime is 14060040191. The next prime is 14060040209. The reversal of 14060040192 is 29104006041.

14060040192 is a `hidden beast` number, since 1 + 4 + 0 + 600 + 40 + 19 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (14060040191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388168 + ... + 422840.

It is an arithmetic number, because the mean of its divisors is an integer number (284014734).

Almost surely, 214060040192 is an apocalyptic number.

14060040192 is a gapful number since it is divisible by the number (12) 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 14060040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22153149252).

14060040192 is an abundant number, since it is smaller than the sum of its proper divisors (30246258312).

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

14060040192 is a wasteful number, since it uses less digits than its factorization.

14060040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34714 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 14060040192 in words is "fourteen billion, sixty million, forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4096 4224 4608 5632 6144 6336 8448 9216 11264 12288 12672 16896 18432 22528 25344 33792 34673 36864 45056 50688 67584 69346 101376 104019 135168 138692 202752 208038 277384 312057 381403 405504 416076 554768 624114 762806 832152 1109536 1144209 1248228 1525612 1664304 2219072 2288418 2496456 3051224 3328608 3432627 4438144 4576836 4992912 6102448 6657216 6865254 8876288 9153672 9985824 12204896 13314432 13730508 17752576 18307344 19971648 24409792 26628864 27461016 35505152 36614688 39943296 48819584 53257728 54922032 71010304 73229376 79886592 97639168 106515456 109844064 142020608 146458752 159773184 195278336 213030912 219688128 292917504 319546368 390556672 426061824 439376256 585835008 639092736 781113344 878752512 1171670016 1278185472 1562226688 1757505024 2343340032 3515010048 4686680064 7030020096 14060040192