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214043102424 = 23334336076389
BaseRepresentation
bin1100011101010111110…
…1101000110011011000
3202110111000212012111000
43013111331220303120
512001330013234144
6242155142305000
721315121231404
oct3072575506330
9673430765430
10214043102424
1182858829978
1235596728160
131725183ca38
14a5071b8104
15587b26d769
hex31d5f68cd8

214043102424 has 128 divisors (see below), whose sum is σ = 608655168000. Its totient is φ = 69658227072.

The previous prime is 214043102423. The next prime is 214043102443. The reversal of 214043102424 is 424201340412.

214043102424 is a `hidden beast` number, since 2 + 1 + 404 + 3 + 10 + 242 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214043102423) 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, 33498622 + ... + 33505010.

It is an arithmetic number, because the mean of its divisors is an integer number (4755118500).

Almost surely, 2214043102424 is an apocalyptic number.

214043102424 is a gapful number since it is divisible by the number (24) 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 214043102424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304327584000).

214043102424 is an abundant number, since it is smaller than the sum of its proper divisors (394612065576).

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

214043102424 is a wasteful number, since it uses less digits than its factorization.

214043102424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10054 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214043102424 its reverse (424201340412), we get a palindrome (638244442836).

The spelling of 214043102424 in words is "two hundred fourteen billion, forty-three million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 3607 4644 6389 7214 9288 10821 12778 14428 19167 21642 25556 28856 32463 38334 43284 51112 57501 64926 76668 86568 97389 115002 129852 153336 155101 172503 194778 230004 259704 274727 310202 345006 389556 460008 465303 549454 620404 690012 779112 824181 930606 1098908 1240808 1380024 1395909 1648362 1861212 2197816 2472543 2791818 3296724 3722424 4187727 4945086 5583636 6593448 7417629 8375454 9890172 11167272 14835258 16750908 19780344 23045123 29670516 33501816 46090246 59341032 69135369 92180492 138270738 184360984 207406107 276541476 414812214 553082952 622218321 829624428 990940289 1244436642 1659248856 1981880578 2488873284 2972820867 3963761156 4977746568 5945641734 7927522312 8918462601 11891283468 17836925202 23782566936 26755387803 35673850404 53510775606 71347700808 107021551212 214043102424