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1131086433024 = 2833198612683
BaseRepresentation
bin10000011101011010000…
…000010100101100000000
311000010112100200012001000
4100131122000110230000
5122012431111324044
62223340335412000
7144501243022422
oct20353200245400
94003470605030
101131086433024
113a6766893259
12163266684000
1382879280a42
143ca5dd1c812
151e64eb80d69
hex1075a014b00

1131086433024 has 144 divisors (see below), whose sum is σ = 3520865219200. Its totient is φ = 357185147904.

The previous prime is 1131086433007. The next prime is 1131086433047. The reversal of 1131086433024 is 4203346801311.

1131086433024 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 8 + 643 + 3 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1131086433024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4175014 + ... + 4437669.

Almost surely, 21131086433024 is an apocalyptic number.

It is an amenable number.

1131086433024 is an abundant number, since it is smaller than the sum of its proper divisors (2389778786176).

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

1131086433024 is an equidigital number, since it uses as much as digits as its factorization.

1131086433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612727 (or 8612707 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1131086433024 in words is "one trillion, one hundred thirty-one billion, eighty-six million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 43776 65664 131328 8612683 17225366 25838049 34450732 51676098 68901464 77514147 103352196 137802928 155028294 163640977 206704392 232542441 275605856 310056588 327281954 413408784 465084882 490922931 551211712 620113176 654563908 826817568 930169764 981845862 1102423424 1240226352 1309127816 1472768793 1653635136 1860339528 1963691724 2204846848 2480452704 2618255632 2945537586 3307270272 3720679056 3927383448 4418306379 4960905408 5236511264 5891075172 6614540544 7441358112 7854766896 8836612758 9921810816 10473022528 11782150344 14882716224 15709533792 17673225516 19843621632 20946045056 23564300688 29765432448 31419067584 35346451032 41892090112 47128601376 59530864896 62838135168 70692902064 94257202752 125676270336 141385804128 188514405504 282771608256 377028811008 565543216512 1131086433024