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21514434120 = 23325147140627
BaseRepresentation
bin10100000010010111…
…000011011001001000
32001112101012111022100
4110002113003121020
5323030143342440
613514504553400
71361101446504
oct240227033110
961471174270
1021514434120
119140378873
124205182860
13204b381aba
1410814a5304
1585dbb7230
hex5025c3648

21514434120 has 96 divisors (see below), whose sum is σ = 69971166720. Its totient is φ = 5733141120.

The previous prime is 21514434077. The next prime is 21514434169. The reversal of 21514434120 is 2143441512.

21514434120 is a `hidden beast` number, since 21 + 514 + 4 + 3 + 4 + 120 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509247 + ... + 549873.

It is an arithmetic number, because the mean of its divisors is an integer number (728866320).

Almost surely, 221514434120 is an apocalyptic number.

21514434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21514434120 is an abundant number, since it is smaller than the sum of its proper divisors (48456732600).

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

21514434120 is a wasteful number, since it uses less digits than its factorization.

21514434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42115 (or 42108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 21514434120 its reverse (2143441512), we get a palindrome (23657875632).

The spelling of 21514434120 in words is "twenty-one billion, five hundred fourteen million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1471 2942 4413 5884 7355 8826 11768 13239 14710 17652 22065 26478 29420 35304 40627 44130 52956 58840 66195 81254 88260 105912 121881 132390 162508 176520 203135 243762 264780 325016 365643 406270 487524 529560 609405 731286 812540 975048 1218810 1462572 1625080 1828215 2437620 2925144 3656430 4875240 7312860 14625720 59762317 119524634 179286951 239049268 298811585 358573902 478098536 537860853 597623170 717147804 896434755 1075721706 1195246340 1434295608 1792869510 2151443412 2390492680 2689304265 3585739020 4302886824 5378608530 7171478040 10757217060 21514434120