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14211230292 = 22327217945007
BaseRepresentation
bin11010011110000111…
…00010101001010100
31100200101221022001200
431033003202221110
5213101033332132
610310055552500
71012111315200
oct151703425124
940611838050
1014211230292
116032961726
12290738b730
1314562c8a0c
1498b57db00
15582959d7c
hex34f0e2a54

14211230292 has 108 divisors (see below), whose sum is σ = 42022169280. Its totient is φ = 4037578272.

The previous prime is 14211230281. The next prime is 14211230309. The reversal of 14211230292 is 29203211241.

14211230292 is a `hidden beast` number, since 1 + 421 + 1 + 230 + 2 + 9 + 2 = 666.

It is a super-4 number, since 4×142112302924 (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293253 + ... + 338259.

It is an arithmetic number, because the mean of its divisors is an integer number (389094160).

Almost surely, 214211230292 is an apocalyptic number.

14211230292 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 14211230292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011084640).

14211230292 is an abundant number, since it is smaller than the sum of its proper divisors (27810938988).

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

14211230292 is a wasteful number, since it uses less digits than its factorization.

14211230292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45210 (or 45198 counting only the distinct ones).

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

The spelling of 14211230292 in words is "fourteen billion, two hundred eleven million, two hundred thirty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 179 196 252 294 358 441 537 588 716 882 1074 1253 1611 1764 2148 2506 3222 3759 5012 6444 7518 8771 11277 15036 17542 22554 26313 35084 45007 45108 52626 78939 90014 105252 135021 157878 180028 270042 315049 315756 405063 540084 630098 810126 945147 1260196 1620252 1890294 2205343 2835441 3780588 4410686 5670882 6616029 8056253 8821372 11341764 13232058 16112506 19848087 24168759 26464116 32225012 39696174 48337518 56393771 72506277 79392348 96675036 112787542 145012554 169181313 225575084 290025108 338362626 394756397 507543939 676725252 789512794 1015087878 1184269191 1579025588 2030175756 2368538382 3552807573 4737076764 7105615146 14211230292