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14450157341340 = 22357153492241523
BaseRepresentation
bin1101001001000111000001…
…1111101100101010011100
31220011102101022101021010020
43102101300133230222130
53343222410234410330
650422151033112140
73020663240541330
oct322216037545234
956142338337106
1014450157341340
1146713061169a6
121754654558650
1380a84ab01596
1437d569bdb7c0
151a0d35dbb210
hexd24707eca9c

14450157341340 has 96 divisors (see below), whose sum is σ = 46243536729600. Its totient is φ = 3302676446976.

The previous prime is 14450157341311. The next prime is 14450157341363. The reversal of 14450157341340 is 4314375105441.

14450157341340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14450157341292 and 14450157341301.

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, 5325819 + ... + 7567341.

It is an arithmetic number, because the mean of its divisors is an integer number (481703507600).

Almost surely, 214450157341340 is an apocalyptic number.

14450157341340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14450157341340 is an abundant number, since it is smaller than the sum of its proper divisors (31793379388260).

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

14450157341340 is a wasteful number, since it uses less digits than its factorization.

14450157341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256891 (or 2256889 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 14450157341340 in words is "fourteen trillion, four hundred fifty billion, one hundred fifty-seven million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 15349 30698 46047 61396 76745 92094 107443 153490 184188 214886 230235 306980 322329 429772 460470 537215 644658 920940 1074430 1289316 1611645 2148860 2241523 3223290 4483046 6446580 6724569 8966092 11207615 13449138 15690661 22415230 26898276 31381322 33622845 44830460 47071983 62762644 67245690 78453305 94143966 134491380 156906610 188287932 235359915 313813220 470719830 941439660 34405136527 68810273054 103215409581 137620546108 172025682635 206430819162 240835955689 344051365270 412861638324 481671911378 516077047905 688102730540 722507867067 963343822756 1032154095810 1204179778445 1445015734134 2064308191620 2408359556890 2890031468268 3612539335335 4816719113780 7225078670670 14450157341340