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14052405220 = 22572231274909
BaseRepresentation
bin11010001011001011…
…01010111111100100
31100021100002011000121
431011211222333210
5212234403431340
610242223451324
71005142321300
oct150545527744
940240064017
1014052405220
115a61242037
122882156b44
13142c429c99
14974438d00
15573a3594a
hex34596afe4

14052405220 has 144 divisors (see below), whose sum is σ = 36109946880. Its totient is φ = 4571271936.

The previous prime is 14052405209. The next prime is 14052405251. The reversal of 14052405220 is 2250425041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2860126 + ... + 2865034.

It is an arithmetic number, because the mean of its divisors is an integer number (250763520).

Almost surely, 214052405220 is an apocalyptic number.

14052405220 is a gapful number since it is divisible by the number (10) 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 14052405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18054973440).

14052405220 is an abundant number, since it is smaller than the sum of its proper divisors (22057541660).

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

14052405220 is a wasteful number, since it uses less digits than its factorization.

14052405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 14052405220 in words is "fourteen billion, fifty-two million, four hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 127 140 161 196 230 245 254 322 460 490 508 635 644 805 889 980 1127 1270 1610 1778 2254 2540 2921 3220 3556 4445 4508 4909 5635 5842 6223 8890 9818 11270 11684 12446 14605 17780 19636 20447 22540 24545 24892 29210 31115 34363 40894 49090 58420 62230 68726 81788 98180 102235 112907 124460 137452 143129 171815 204470 225814 240541 286258 343630 408940 451628 481082 564535 572516 623443 687260 715645 790349 962164 1129070 1202705 1246886 1431290 1580698 2258140 2405410 2493772 2862580 3117215 3161396 3951745 4364101 4810820 5532443 6234430 7903490 8728202 11064886 12468860 14339189 15806980 17456404 21820505 22129772 27662215 28678378 30548707 43641010 55324430 57356756 61097414 71695945 87282020 100374323 110648860 122194828 143391890 152743535 200748646 286783780 305487070 401497292 501871615 610974140 702620261 1003743230 1405240522 2007486460 2810481044 3513101305 7026202610 14052405220