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214030783120 = 24571137939061
BaseRepresentation
bin1100011101010100111…
…0101001001010010000
3202110110011200022120111
43013111032221022100
512001313340024440
6242154022251104
721314611432150
oct3072516511220
9673404608514
10214030783120
1182851885230
1235592586a94
131724c1185cb
14a5056cc760
15587a1384ea
hex31d53a9290

214030783120 has 160 divisors (see below), whose sum is σ = 637179860736. Its totient is φ = 64907827200.

The previous prime is 214030783093. The next prime is 214030783133. The reversal of 214030783120 is 21387030412.

It is a super-2 number, since 2×2140307831202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241611 + ... + 697450.

Almost surely, 2214030783120 is an apocalyptic number.

214030783120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214030783120 is an abundant number, since it is smaller than the sum of its proper divisors (423149077616).

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

214030783120 is a wasteful number, since it uses less digits than its factorization.

214030783120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939129 (or 939123 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 214030783120 in words is "two hundred fourteen billion, thirty million, seven hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 37 40 44 55 56 70 74 77 80 88 110 112 140 148 154 176 185 220 259 280 296 308 370 385 407 440 518 560 592 616 740 770 814 880 1036 1232 1295 1480 1540 1628 2035 2072 2590 2849 2960 3080 3256 4070 4144 5180 5698 6160 6512 8140 10360 11396 14245 16280 20720 22792 28490 32560 45584 56980 113960 227920 939061 1878122 3756244 4695305 6573427 7512488 9390610 10329671 13146854 15024976 18781220 20659342 26293708 32867135 34745257 37562440 41318684 51648355 52587416 65734270 69490514 72307697 75124880 82637368 103296710 105174832 131468540 138981028 144615394 165274736 173726285 206593420 243216799 262937080 277962056 289230788 347452570 361538485 382197827 413186840 486433598 525874160 555924112 578461576 694905140 723076970 764395654 826373680 972867196 1156923152 1216083995 1389810280 1446153940 1528791308 1910989135 1945734392 2432167990 2675384789 2779620560 2892307880 3057582616 3821978270 3891468784 4864335980 5350769578 5784615760 6115165232 7643956540 9728671960 10701539156 13376923945 15287913080 19457343920 21403078312 26753847890 30575826160 42806156624 53507695780 107015391560 214030783120