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14050214412201 = 3311223208389767
BaseRepresentation
bin1100110001110101001000…
…0010011111111110101001
31211202012001121012101122000
43030131102002133332221
53320144314342142301
645514325052121213
72650044260664552
oct314352202377651
954665047171560
1014050214412201
114527731824800
1216ab038466209
137abc11255ba6
14368069453329
151957294e7786
hexcc75209ffa9

14050214412201 has 96 divisors (see below), whose sum is σ = 23885929052160. Its totient is φ = 8141050890720.

The previous prime is 14050214412181. The next prime is 14050214412229. The reversal of 14050214412201 is 10221441205041.

14050214412201 is a `hidden beast` number, since 1 + 4 + 0 + 502 + 144 + 12 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 14050214412201 - 214 = 14050214395817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14050214412401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156473820 + ... + 156563586.

It is an arithmetic number, because the mean of its divisors is an integer number (248811760960).

Almost surely, 214050214412201 is an apocalyptic number.

14050214412201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14050214412201 is a deficient number, since it is larger than the sum of its proper divisors (9835714639959).

14050214412201 is a wasteful number, since it uses less digits than its factorization.

14050214412201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91904 (or 91887 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 14050214412201 its reverse (10221441205041), we get a palindrome (24271655617242).

The spelling of 14050214412201 in words is "fourteen trillion, fifty billion, two hundred fourteen million, four hundred twelve thousand, two hundred one".

Divisors: 1 3 9 11 23 27 33 69 99 121 207 253 297 363 621 759 1089 2083 2277 2783 3267 6249 6831 8349 18747 22913 25047 47909 56241 68739 75141 89767 143727 206217 252043 269301 431181 526999 618651 756129 807903 987437 1293543 1580997 2064641 2268387 2423709 2962311 4742991 5796989 6193923 6805161 8886933 10861807 14228973 17390967 18581769 22711051 26660799 32585421 52172901 55745307 68133153 97756263 156518703 186984661 204399459 249821561 293268789 560953983 613198377 749464683 1682861949 2056831271 2248394049 4300647203 5048585847 6170493813 6745182147 12901941609 18511481439 22625143981 38705824827 47307119233 55534444317 67875431943 116117474481 141921357699 203626295829 425764073097 520378311563 610878887487 1277292219291 1561134934689 4683404804067 14050214412201