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1040622461328 = 243831732935153
BaseRepresentation
bin11110010010010011110…
…11101010000110010000
310200111000202202021101210
433021021323222012100
5114022143322230303
62114015542500120
7135116410655622
oct17111173520620
93614022667353
101040622461328
1137136428338a
1214981a434640
13771902ac4c8
143851b566c12
151c107c06203
hexf249eea190

1040622461328 has 160 divisors (see below), whose sum is σ = 2746261977984. Its totient is φ = 339485310976.

The previous prime is 1040622461323. The next prime is 1040622461353. The reversal of 1040622461328 is 8231642260401.

It is not an unprimeable number, because it can be changed into a prime (1040622461323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201942400 + ... + 201947552.

Almost surely, 21040622461328 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 1040622461328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373130988992).

1040622461328 is an abundant number, since it is smaller than the sum of its proper divisors (1705639516656).

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

1040622461328 is a wasteful number, since it uses less digits than its factorization.

1040622461328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 1040622461328 in words is "one trillion, forty billion, six hundred twenty-two million, four hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 173 249 293 332 346 498 519 586 664 692 879 996 1038 1172 1328 1384 1758 1992 2076 2344 2768 3516 3984 4152 4688 5153 7032 8304 10306 14064 14359 15459 20612 24319 28718 30918 41224 43077 48638 50689 57436 61836 72957 82448 86154 97276 101378 114872 123672 145914 152067 172308 194552 202756 229744 247344 291828 304134 344616 389104 405512 427699 583656 608268 689232 811024 855398 891469 1167312 1216536 1283097 1509829 1710796 1782938 2433072 2566194 2674407 3019658 3421592 3565876 4207187 4529487 5132388 5348814 6039316 6843184 7131752 8414374 9058974 10264776 10697628 12078632 12621561 14263504 16828748 18117948 20529552 21395256 24157264 25243122 33657496 36235896 42790512 50486244 67314992 72471792 73991927 100972488 125315807 147983854 201944976 221975781 250631614 261200417 295967708 375947421 443951562 501263228 522400834 591935416 751894842 783601251 887903124 1002526456 1044801668 1183870832 1503789684 1567202502 1775806248 2005052912 2089603336 3007579368 3134405004 3551612496 4179206672 6015158736 6268810008 12537620016 21679634611 43359269222 65038903833 86718538444 130077807666 173437076888 260155615332 346874153776 520311230664 1040622461328