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1045262441142 = 23456388312979
BaseRepresentation
bin11110011010111100111…
…11110001101010110110
310200221000010200200010000
433031132133301222312
5114111144141104032
62120104213412130
7135342402103563
oct17153637615266
93627003620100
101045262441142
11373325441947
1214a6b433a046
137774c6870aa
143883b8ad86a
151c2ca244e7c
hexf35e7f1ab6

1045262441142 has 80 divisors (see below), whose sum is σ = 2349160482240. Its totient is φ = 347381295408.

The previous prime is 1045262441117. The next prime is 1045262441149. The reversal of 1045262441142 is 2411442625401.

1045262441142 is a `hidden beast` number, since 1 + 0 + 452 + 6 + 24 + 41 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1045262441097 and 1045262441106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045262441149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80528409 + ... + 80541387.

It is an arithmetic number, because the mean of its divisors is an integer number (29364506028).

Almost surely, 21045262441142 is an apocalyptic number.

1045262441142 is an abundant number, since it is smaller than the sum of its proper divisors (1303898041098).

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

1045262441142 is a wasteful number, since it uses less digits than its factorization.

1045262441142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14439 (or 14430 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 1045262441142 in words is "one trillion, forty-five billion, two hundred sixty-two million, four hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 563 883 1126 1689 1766 2649 3378 5067 5298 7947 10134 12979 15201 15894 23841 25958 30402 38937 45603 47682 71523 77874 91206 116811 143046 233622 350433 497129 700866 994258 1051299 1491387 2102598 2982774 4474161 7307177 8948322 11460457 13422483 14614354 21921531 22920914 26844966 34381371 40267449 43843062 65764593 68762742 80534898 103144113 131529186 197293779 206288226 309432339 394587558 591881337 618864678 928297017 1183762674 1856594034 6452237291 12904474582 19356711873 38713423746 58070135619 116140271238 174210406857 348420813714 522631220571 1045262441142