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14045123233000 = 2353271439118057
BaseRepresentation
bin1100110001100010001010…
…0101001100010011101000
31211201200220210020200201101
43030120202211030103220
53320103403021424000
645512123542331144
72646504150453526
oct314304245142350
954650823220641
1014045123233000
114525559a00492
1216aa057429ab4
137ab5ac551712
14367b05219316
1519552c57ee6a
hexcc62294c4e8

14045123233000 has 128 divisors (see below), whose sum is σ = 33062284569600. Its totient is φ = 5584521024000.

The previous prime is 14045123232953. The next prime is 14045123233019. The reversal of 14045123233000 is 33232154041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14045123233000.

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, 118909972 + ... + 119028028.

It is an arithmetic number, because the mean of its divisors is an integer number (258299098200).

Almost surely, 214045123233000 is an apocalyptic number.

14045123233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14045123233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531142284800).

14045123233000 is an abundant number, since it is smaller than the sum of its proper divisors (19017161336600).

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

14045123233000 is a wasteful number, since it uses less digits than its factorization.

14045123233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118788 (or 118774 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 14045123233000 its reverse (33232154041), we get a palindrome (14078355387041).

The spelling of 14045123233000 in words is "fourteen trillion, forty-five billion, one hundred twenty-three million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 271 439 500 542 878 1000 1084 1355 1756 2168 2195 2710 3512 4390 5420 6775 8780 10840 10975 13550 17560 21950 27100 33875 43900 54200 54875 67750 87800 109750 118057 118969 135500 219500 236114 237938 271000 439000 472228 475876 590285 594845 944456 951752 1180570 1189690 2361140 2379380 2951425 2974225 4722280 4758760 5902850 5948450 11805700 11896900 14757125 14871125 23611400 23793800 29514250 29742250 31993447 51827023 59028500 59484500 63986894 103654046 118057000 118969000 127973788 159967235 207308092 255947576 259135115 319934470 414616184 518270230 639868940 799836175 1036540460 1279737880 1295675575 1599672350 2073080920 2591351150 3199344700 3999180875 5182702300 6398689400 6478377875 7998361750 10365404600 12956755750 14045123233 15996723500 25913511500 28090246466 31993447000 51827023000 56180492932 70225616165 112360985864 140451232330 280902464660 351128080825 561804929320 702256161650 1404512323300 1755640404125 2809024646600 3511280808250 7022561616500 14045123233000