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1141024341204 = 22321119729349919
BaseRepresentation
bin10000100110101010010…
…110011011110011010100
311001002011221121020012100
4100212222112123303110
5122143304212404304
62232102423322100
7145302434605566
oct20465226336324
94032157536170
101141024341204
113aa9a6548810
1216517a8b0330
13837a113b097
143d323b1b336
151ea32376439
hex109aa59bcd4

1141024341204 has 144 divisors (see below), whose sum is σ = 3173289799680. Its totient is φ = 342828837120.

The previous prime is 1141024341187. The next prime is 1141024341229. The reversal of 1141024341204 is 4021434201411.

1141024341204 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 243 + 412 + 0 + 4 = 666.

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, 22832557 + ... + 22882475.

It is an arithmetic number, because the mean of its divisors is an integer number (22036734720).

Almost surely, 21141024341204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141024341204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586644899840).

1141024341204 is an abundant number, since it is smaller than the sum of its proper divisors (2032265458476).

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

1141024341204 is a wasteful number, since it uses less digits than its factorization.

1141024341204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50430 (or 50425 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1141024341204 its reverse (4021434201411), we get a palindrome (5162458542615).

The spelling of 1141024341204 in words is "one trillion, one hundred forty-one billion, twenty-four million, three hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 197 198 293 394 396 586 591 788 879 1172 1182 1758 1773 2167 2364 2637 3223 3516 3546 4334 5274 6446 6501 7092 8668 9669 10548 12892 13002 19338 19503 26004 29007 38676 39006 49919 57721 58014 78012 99838 115442 116028 149757 173163 199676 230884 299514 346326 449271 519489 549109 599028 634931 692652 898542 1038978 1098218 1269862 1647327 1797084 1904793 2077956 2196436 2539724 3294654 3809586 4941981 5714379 6589308 7619172 9834043 9883962 11428758 14626267 19668086 19767924 22857516 29252534 29502129 39336172 43878801 58505068 59004258 87757602 88506387 108174473 118008516 131636403 160888937 175515204 177012774 216348946 263272806 321777874 324523419 354025548 432697892 482666811 526545612 643555748 649046838 965333622 973570257 1298093676 1448000433 1930667244 1947140514 2881374599 2896000866 3894281028 5762749198 5792001732 8644123797 11525498396 17288247594 25932371391 31695120589 34576495188 51864742782 63390241178 95085361767 103729485564 126780482356 190170723534 285256085301 380341447068 570512170602 1141024341204