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1328491111941 = 327219219343237
BaseRepresentation
bin10011010101010000001…
…111011010011000000101
311201000001211101220022100
4103111100033122120011
5133231222211040231
62454144515022313
7164660151063600
oct23252017323005
94630054356270
101328491111941
114724566652a4
12195578b9a999
13983789a7866
1448429459337
152485534b1e6
hex135503da605

1328491111941 has 108 divisors (see below), whose sum is σ = 2368157107212. Its totient is φ = 715440273408.

The previous prime is 1328491111901. The next prime is 1328491111957. The reversal of 1328491111941 is 1491111948231.

1328491111941 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 491 + 1 + 119 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149792220900 + 1178698891041 = 387030^2 + 1085679^2 .

It is not a de Polignac number, because 1328491111941 - 29 = 1328491111429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328491111901) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30704175 + ... + 30747411.

Almost surely, 21328491111941 is an apocalyptic number.

It is an amenable number.

1328491111941 is a deficient number, since it is larger than the sum of its proper divisors (1039665995271).

1328491111941 is a wasteful number, since it uses less digits than its factorization.

1328491111941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43488 (or 43459 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The spelling of 1328491111941 in words is "one trillion, three hundred twenty-eight billion, four hundred ninety-one million, one hundred eleven thousand, nine hundred forty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 193 361 399 441 579 931 1083 1197 1351 1737 2527 2793 3249 3667 4053 7581 8379 9457 11001 12159 17689 22743 25669 28371 33003 43237 53067 69673 77007 85113 129711 159201 179683 209019 231021 302659 389133 487711 539049 627057 821503 907977 1463133 1617147 2118613 2464509 2723931 3413977 4389399 5750521 6355839 7393527 8344741 10241931 15608557 17251563 19067517 25034223 30725793 40253647 46825671 51754689 58413187 75102669 109259899 120760941 140477013 158550079 175239561 327779697 362282823 408892309 475650237 525718683 764819293 983339091 1109850553 1226676927 1426950711 2294457879 3012451501 3329551659 3680030781 6883373637 7768953871 9037354503 9988654977 21087160507 23306861613 27112063509 63261481521 69920584839 147610123549 189784444563 442830370647 1328491111941