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13330330414020 = 2234519433084159
BaseRepresentation
bin1100000111111011010110…
…0110111110101111000100
31202012100220122110020020000
43001332311212332233010
53221401004041222040
644203511431441300
72544041004654054
oct301766546765704
952170818406200
1013330330414020
11427a3a7aa7a64
1215b3610826230
13759077468469
14341297421564
15181b4498a130
hexc1fb59bebc4

13330330414020 has 120 divisors (see below), whose sum is σ = 44018674022400. Its totient is φ = 3367662412608.

The previous prime is 13330330414019. The next prime is 13330330414081. The reversal of 13330330414020 is 2041403303331.

13330330414020 is a `hidden beast` number, since 1 + 3 + 330 + 3 + 304 + 1 + 4 + 0 + 20 = 666.

It is a super-2 number, since 2×133303304140202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216511300 + ... + 216572859.

It is an arithmetic number, because the mean of its divisors is an integer number (366822283520).

Almost surely, 213330330414020 is an apocalyptic number.

13330330414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330330414020 is an abundant number, since it is smaller than the sum of its proper divisors (30688343608380).

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

13330330414020 is a wasteful number, since it uses less digits than its factorization.

13330330414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433084199 (or 433084188 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13330330414020 its reverse (2041403303331), we get a palindrome (15371733717351).

The spelling of 13330330414020 in words is "thirteen trillion, three hundred thirty billion, three hundred thirty million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 433084159 866168318 1299252477 1732336636 2165420795 2598504954 3897757431 4330841590 5197009908 6496262385 7795514862 8228599021 8661683180 11693272293 12992524770 15591029724 16457198042 19488787155 23386544586 24685797063 25985049540 32914396084 35079816879 38977574310 41142995105 46773089172 49371594126 58466361465 70159633758 74057391189 77955148620 82285990210 98743188252 116932722930 123428985315 140319267516 148114782378 164571980420 175399084395 222172173567 233865445860 246857970630 296229564756 350798168790 370286955945 444344347134 493715941260 666516520701 701596337580 740573911890 888688694268 1110860867835 1333033041402 1481147823780 2221721735670 2666066082804 3332582603505 4443443471340 6665165207010 13330330414020