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1430827756404 = 2231765968315583
BaseRepresentation
bin10100110100100011111…
…110101110101101110100
312001210012211212002011120
4110310203332232231310
5141420313401201104
63013151352303540
7205242150154614
oct24644376565564
95053184762146
101430827756404
115018a0a6aa22
121b13793a1bb0
13a4c0761c857
144d376966a44
1527344794cd9
hex14d23faeb74

1430827756404 has 96 divisors (see below), whose sum is σ = 3545761443840. Its totient is φ = 447521023488.

The previous prime is 1430827756367. The next prime is 1430827756427. The reversal of 1430827756404 is 4046577280341.

It is a super-2 number, since 2×14308277564042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91811997 + ... + 91827579.

It is an arithmetic number, because the mean of its divisors is an integer number (36935015040).

Almost surely, 21430827756404 is an apocalyptic number.

It is an amenable number.

1430827756404 is an abundant number, since it is smaller than the sum of its proper divisors (2114933687436).

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

1430827756404 is a wasteful number, since it uses less digits than its factorization.

1430827756404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16949 (or 16947 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 1430827756404 in words is "one trillion, four hundred thirty billion, eight hundred twenty-seven million, seven hundred fifty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 659 683 1318 1366 1977 2049 2636 2732 3954 4098 7908 8196 11203 11611 15583 22406 23222 31166 33609 34833 44812 46444 46749 62332 67218 69666 93498 134436 139332 186996 264911 450097 529822 794733 900194 1059644 1350291 1589466 1800388 2700582 3178932 5401164 7651649 10269197 10643189 15303298 20538394 21286378 22954947 30606596 30807591 31929567 41076788 42572756 45909894 61615182 63859134 91819788 123230364 127718268 174576349 180934213 349152698 361868426 523729047 542802639 698305396 723736852 1047458094 1085605278 2094916188 2171210556 7013861551 14027723102 21041584653 28055446204 42083169306 84166338612 119235646367 238471292734 357706939101 476942585468 715413878202 1430827756404