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141344100042030 = 232531471077892931
BaseRepresentation
bin100000001000110100111100…
…110111111100010100101110
3200112110100211100121020122100
4200020310330313330110232
5122011240204102321110
61220340325543355530
741525526364113534
oct4010647467742456
9615410740536570
10141344100042030
1141044772705766
1213a29525152ba6
1360b38cb138762
1426c913b79a154
151151a3ed30bc0
hex808d3cdfc52e

141344100042030 has 96 divisors (see below), whose sum is σ = 387420589191168. Its totient is φ = 35699813841600.

The previous prime is 141344100041953. The next prime is 141344100042049. The reversal of 141344100042030 is 30240001443141.

141344100042030 is a `hidden beast` number, since 1 + 4 + 13 + 441 + 0 + 0 + 0 + 4 + 203 + 0 = 666.

141344100042030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141344100041985 and 141344100042003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538815336 + ... + 539077595.

It is an arithmetic number, because the mean of its divisors is an integer number (4035631137408).

Almost surely, 2141344100042030 is an apocalyptic number.

141344100042030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141344100042030 is an abundant number, since it is smaller than the sum of its proper divisors (246076489149138).

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

141344100042030 is a wasteful number, since it uses less digits than its factorization.

141344100042030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077893022 (or 1077893019 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 141344100042030 its reverse (30240001443141), we get a palindrome (171584101485171).

The spelling of 141344100042030 in words is "one hundred forty-one trillion, three hundred forty-four billion, one hundred million, forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 47 62 90 93 94 141 155 186 235 279 282 310 423 465 470 558 705 846 930 1395 1410 1457 2115 2790 2914 4230 4371 7285 8742 13113 14570 21855 26226 43710 65565 131130 1077892931 2155785862 3233678793 5389464655 6467357586 9701036379 10778929310 16168393965 19402072758 32336787930 33414680861 48505181895 50660967757 66829361722 97010363790 100244042583 101321935514 151982903271 167073404305 200488085166 253304838785 300732127749 303965806542 334146808610 455948709813 501220212915 506609677570 601464255498 759914516355 911897419626 1002440425830 1503660638745 1519829032710 1570490000467 2279743549065 3007321277490 3140980000934 4559487098130 4711470001401 7852450002335 9422940002802 14134410004203 15704900004670 23557350007005 28268820008406 47114700014010 70672050021015 141344100042030