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214121240008 = 23134783975441
BaseRepresentation
bin1100011101101010011…
…1101101010111001000
3202110200110220000002121
43013122213231113020
512002010014140013
6242211013141024
721320060336644
oct3073247552710
9673613800077
10214121240008
1182898948895
12355b892a774
1317264a9a4b0
14a513717c24
15588305558d
hex31da9ed5c8

214121240008 has 128 divisors (see below), whose sum is σ = 451569323520. Its totient is φ = 94554685440.

The previous prime is 214121239991. The next prime is 214121240009. The reversal of 214121240008 is 800042121412.

It is not an unprimeable number, because it can be changed into a prime (214121240009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39350568 + ... + 39356008.

It is an arithmetic number, because the mean of its divisors is an integer number (3527885340).

Almost surely, 2214121240008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214121240008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225784661760).

214121240008 is an abundant number, since it is smaller than the sum of its proper divisors (237448083512).

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

214121240008 is a wasteful number, since it uses less digits than its factorization.

214121240008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 214121240008 in words is "two hundred fourteen billion, one hundred twenty-one million, two hundred forty thousand, eight".

Divisors: 1 2 4 8 13 26 47 52 83 94 97 104 166 188 194 332 376 388 611 664 776 1079 1222 1261 2158 2444 2522 3901 4316 4559 4888 5044 5441 7802 8051 8632 9118 10088 10882 15604 16102 18236 21764 31208 32204 36472 43528 50713 59267 64408 70733 101426 104663 118534 141466 202852 209326 237068 255727 282932 378397 405704 418652 451603 474136 511454 527777 565864 756794 837304 903206 1022908 1055554 1513588 1806412 2045816 2111108 3027176 3324451 3612824 4222216 4919161 5870839 6648902 6861101 9838322 11741678 13297804 13722202 19676644 21225341 23483356 24805519 26595608 27444404 39353288 42450682 43805491 46966712 49611038 54888808 84901364 87610982 99222076 169802728 175221964 198444152 275929433 322471747 350443928 551858866 569471383 644943494 1103717732 1138942766 1289886988 2058858077 2207435464 2277885532 2579773976 4117716154 4555771064 8235432308 16470864616 26765155001 53530310002 107060620004 214121240008