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20131443141200 = 2452179821342467
BaseRepresentation
bin1001001001111001101111…
…00001000110101001010000
32122021112202212220220211122
410210330313201012221100
510114313143421004300
6110452131324501412
74145306633211656
oct444746741065120
978245685826748
1020131443141200
116461773911546
1223117376aa868
13b30505160571
144d851d268dd6
1524d9e9761c85
hex124f37846a50

20131443141200 has 120 divisors (see below), whose sum is σ = 48695374234080. Its totient is φ = 7997813977600.

The previous prime is 20131443141191. The next prime is 20131443141263. The reversal of 20131443141200 is 214134413102.

It is a self number, because there is not a number n which added to its sum of digits gives 20131443141200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58612367 + ... + 58954833.

It is an arithmetic number, because the mean of its divisors is an integer number (405794785284).

Almost surely, 220131443141200 is an apocalyptic number.

20131443141200 is a gapful number since it is divisible by the number (20) 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 20131443141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24347687117040).

20131443141200 is an abundant number, since it is smaller than the sum of its proper divisors (28563931092880).

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

20131443141200 is a wasteful number, since it uses less digits than its factorization.

20131443141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343485 (or 343474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 20131443141200 its reverse (214134413102), we get a palindrome (20345577554302).

The spelling of 20131443141200 in words is "twenty trillion, one hundred thirty-one billion, four hundred forty-three million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 821 895 1432 1642 1790 2864 3284 3580 4105 4475 6568 7160 8210 8950 13136 14320 16420 17900 20525 32840 35800 41050 65680 71600 82100 146959 164200 293918 328400 342467 587836 684934 734795 1175672 1369868 1469590 1712335 2351344 2739736 2939180 3424670 3673975 5479472 5878360 6849340 7347950 8561675 11756720 13698680 14695900 17123350 27397360 29391800 34246700 58783600 61301593 68493400 122603186 136986800 245206372 281165407 306507965 490412744 562330814 613015930 980825488 1124661628 1226031860 1405827035 1532539825 2249323256 2452063720 2811654070 3065079650 4498646512 4904127440 5623308140 6130159300 7029135175 11246616280 12260318600 14058270350 22493232560 24520637200 28116540700 50328607853 56233081400 100657215706 112466162800 201314431412 251643039265 402628862824 503286078530 805257725648 1006572157060 1258215196325 2013144314120 2516430392650 4026288628240 5032860785300 10065721570600 20131443141200