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13065024434000 = 245371184837821
BaseRepresentation
bin1011111000011111000000…
…1000111110111101010000
31201021000010000110000201212
42332013300020332331100
53203024132223342000
643441553411515252
72515626325230620
oct276076010767520
951230100400655
1013065024434000
114187933763450
12157010a2b8b28
1373a04634a876
143324c9cda880
15179cb806ac35
hexbe1f023ef50

13065024434000 has 160 divisors (see below), whose sum is σ = 39386467890432. Its totient is φ = 4072215360000.

The previous prime is 13065024433997. The next prime is 13065024434009. The reversal of 13065024434000 is 43442056031.

It is a super-2 number, since 2×130650244340002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13065024434009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42264911 + ... + 42572910.

Almost surely, 213065024434000 is an apocalyptic number.

13065024434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13065024434000 is an abundant number, since it is smaller than the sum of its proper divisors (26321443456432).

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

13065024434000 is a wasteful number, since it uses less digits than its factorization.

13065024434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84837862 (or 84837846 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 13065024434000 in words is "thirteen trillion, sixty-five billion, twenty-four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 84837821 169675642 339351284 424189105 593864747 678702568 848378210 933216031 1187729494 1357405136 1696756420 1866432062 2120945525 2375458988 2969323735 3393512840 3732864124 4241891050 4666080155 4750917976 5938647470 6532512217 6787025680 7465728248 8483782100 9332160310 9501835952 10604727625 11877294940 13065024434 14846618675 14931456496 16967564200 18664320620 21209455250 23330400775 23754589880 26130048868 29693237350 32662561085 33935128400 37328641240 42418910500 46660801550 47509179760 52260097736 59386474700 65325122170 74233093375 74657282480 84837821000 93321603100 104520195472 116652003875 118772949400 130650244340 148466186750 163312805425 169675642000 186643206200 233304007750 237545898800 261300488680 296932373500 326625610850 373286412400 466608015500 522600977360 593864747000 653251221700 816564027125 933216031000 1187729494000 1306502443400 1633128054250 1866432062000 2613004886800 3266256108500 6532512217000 13065024434000