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14320411233012 = 223231353129728027
BaseRepresentation
bin1101000001100011101100…
…0001100100101011110100
31212201000111002012001101200
43100120323001210223310
53334111200233424022
650242412303452500
73005421066035043
oct320307301445364
955630432161350
1014320411233012
1146212858993a5
1217334848b7130
137cb541702911
1437717c34255a
1519c7904a9bac
hexd063b064af4

14320411233012 has 144 divisors (see below), whose sum is σ = 37502604851712. Its totient is φ = 4602685317120.

The previous prime is 14320411232993. The next prime is 14320411233017. The reversal of 14320411233012 is 21033211402341.

14320411233012 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 0 + 411 + 233 + 0 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14320411233017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510936543 + ... + 510964569.

Almost surely, 214320411233012 is an apocalyptic number.

14320411233012 is a gapful number since it is divisible by the number (12) 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 14320411233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18751302425856).

14320411233012 is an abundant number, since it is smaller than the sum of its proper divisors (23182193618700).

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

14320411233012 is a wasteful number, since it uses less digits than its factorization.

14320411233012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29718 (or 29713 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14320411233012 its reverse (21033211402341), we get a palindrome (35353622635353).

The spelling of 14320411233012 in words is "fourteen trillion, three hundred twenty billion, four hundred eleven million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 353 372 558 706 1059 1116 1297 1412 2118 2594 3177 3891 4236 5188 6354 7782 10943 11673 12708 15564 21886 23346 28027 32829 40207 43772 46692 56054 65658 80414 84081 98487 112108 120621 131316 160828 168162 196974 241242 252243 336324 361863 393948 457841 482484 504486 723726 868837 915682 1008972 1373523 1447452 1737674 1831364 2606511 2747046 3475348 4120569 5213022 5494092 7819533 8241138 9893531 10426044 14193071 15639066 16482276 19787062 28386142 29680593 31278132 36351019 39574124 42579213 56772284 59361186 72702038 85158426 89041779 109053057 118722372 127737639 145404076 170316852 178083558 218106114 255475278 306699461 327159171 356167116 436212228 510950556 613398922 654318342 920098383 1126881589 1226797844 1308636684 1840196766 2253763178 2760295149 3380644767 3680393532 4507526356 5520590298 6761289534 10141934301 11041180596 12831909707 13522579068 20283868602 25663819414 38495729121 40567737204 51327638828 76991458242 115487187363 153982916484 230974374726 397789200917 461948749452 795578401834 1193367602751 1591156803668 2386735205502 3580102808253 4773470411004 7160205616506 14320411233012