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14252255033220 = 22325419719909277
BaseRepresentation
bin1100111101100101110010…
…0110010011011110000100
31212110111120011021100220200
43033121130212103132010
53332002104242030340
650151221235530500
73000456110636151
oct317313446233604
955414504240820
1014252255033220
1145a5390457756
121722223459a30
137c4c9c272809
14373b54565228
1519ab01ba5330
hexcf65c993784

14252255033220 has 144 divisors (see below), whose sum is σ = 44742837183408. Its totient is φ = 3669677752320.

The previous prime is 14252255033173. The next prime is 14252255033249. The reversal of 14252255033220 is 2233055225241.

It is a happy number.

14252255033220 is a `hidden beast` number, since 1 + 4 + 2 + 52 + 2 + 550 + 3 + 32 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 715035977604 + 13537219055616 = 845598^2 + 3679296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9238779 + ... + 10670498.

It is an arithmetic number, because the mean of its divisors is an integer number (310714147107).

Almost surely, 214252255033220 is an apocalyptic number.

14252255033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14252255033220 is an abundant number, since it is smaller than the sum of its proper divisors (30490582150188).

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

14252255033220 is a wasteful number, since it uses less digits than its factorization.

14252255033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19909430 (or 19909425 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 14252255033220 in words is "fourteen trillion, two hundred fifty-two billion, two hundred fifty-five million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 97 123 164 180 194 205 246 291 369 388 410 485 492 582 615 738 820 873 970 1164 1230 1455 1476 1746 1845 1940 2460 2910 3492 3690 3977 4365 5820 7380 7954 8730 11931 15908 17460 19885 23862 35793 39770 47724 59655 71586 79540 119310 143172 178965 238620 357930 715860 19909277 39818554 59727831 79637108 99546385 119455662 179183493 199092770 238911324 298639155 358366986 398185540 597278310 716733972 816280357 895917465 1194556620 1632560714 1791834930 1931199869 2448841071 3265121428 3583669860 3862399738 4081401785 4897682142 5793599607 7346523213 7724799476 8162803570 9655999345 9795364284 11587199214 12244205355 14693046426 16325607140 17380798821 19311998690 23174398428 24488410710 28967998035 29386092852 34761597642 36732616065 38623997380 48976821420 57935996070 69523195284 73465232130 79179194629 86903994105 115871992140 146930464260 158358389258 173807988210 237537583887 316716778516 347615976420 395895973145 475075167774 712612751661 791791946290 950150335548 1187687919435 1425225503322 1583583892580 2375375838870 2850451006644 3563063758305 4750751677740 7126127516610 14252255033220