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3144221422320 = 2435113732188999
BaseRepresentation
bin101101110000010010001…
…100110111001011110000
3102010120210012022121222010
4231300102030313023300
5403003331141003240
610404234013042520
7443106511056066
oct55602214671360
912116705277863
103144221422320
1110025030289a0
12429455486440
1319a663b5b514
14ac277036036
1556bc5d77280
hex2dc123372f0

3144221422320 has 160 divisors (see below), whose sum is σ = 10920568896000. Its totient is φ = 741634513920.

The previous prime is 3144221422297. The next prime is 3144221422367. The reversal of 3144221422320 is 232241224413.

It is a super-2 number, since 2×31442214223202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15996820 + ... + 16192179.

It is an arithmetic number, because the mean of its divisors is an integer number (68253555600).

Almost surely, 23144221422320 is an apocalyptic number.

3144221422320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144221422320 is an abundant number, since it is smaller than the sum of its proper divisors (7776347473680).

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

3144221422320 is a wasteful number, since it uses less digits than its factorization.

3144221422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32189063 (or 32189057 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3144221422320 its reverse (232241224413), we get a palindrome (3376462646733).

The spelling of 3144221422320 in words is "three trillion, one hundred forty-four billion, two hundred twenty-one million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 32560 48840 97680 32188999 64377998 96566997 128755996 160944995 193133994 257511992 321889990 354078989 386267988 482834985 515023984 643779980 708157978 772535976 965669970 1062236967 1190992963 1287559960 1416315956 1545071952 1770394945 1931339940 2124473934 2381985926 2575119920 2832631912 3540789890 3572978889 3862679880 4248947868 4763971852 5311184835 5665263824 5954964815 7081579780 7145957778 7725359760 8497895736 9527943704 10622369670 11909929630 13100922593 14163159560 14291915556 16995791472 17864894445 19055887408 21244739340 23819859260 26201845186 28326319120 28583831112 35729788890 39302767779 42489478680 47639718520 52403690372 57167662224 65504612965 71459577780 78605535558 84978957360 95279437040 104807380744 131009225930 142919155560 157211071116 196513838895 209614761488 262018451860 285838311120 314422142232 393027677790 524036903720 628844284464 786055355580 1048073807440 1572110711160 3144221422320