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1344402144768 = 2931785760077
BaseRepresentation
bin10011100100000100100…
…111001011111000000000
311202112010200211010002110
4103210010213023320000
5134011313422113033
62505335415415320
7166062352452444
oct23440447137000
94675120733073
101344402144768
11479180a64801
12198679684540
1399a131b0c97
14490d866c824
1524e8711b363
hex139049cbe00

1344402144768 has 160 divisors (see below), whose sum is σ = 3796740234144. Its totient is φ = 421274058752.

The previous prime is 1344402144731. The next prime is 1344402144857. The reversal of 1344402144768 is 8674412044431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22347946 + ... + 22408022.

Almost surely, 21344402144768 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 1344402144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898370117072).

1344402144768 is an abundant number, since it is smaller than the sum of its proper divisors (2452338089376).

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

1344402144768 is an equidigital number, since it uses as much as digits as its factorization.

1344402144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60972 (or 60956 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 1344402144768 in words is "one trillion, three hundred forty-four billion, four hundred two million, one hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 857 1088 1536 1632 1714 2176 2571 3264 3428 4352 5142 6528 6856 8704 10284 13056 13712 14569 20568 26112 27424 29138 41136 43707 54848 58276 60077 82272 87414 109696 116552 120154 164544 174828 180231 219392 233104 240308 329088 349656 360462 438784 466208 480616 658176 699312 720924 932416 961232 1021309 1316352 1398624 1441848 1864832 1922464 2042618 2797248 2883696 3063927 3729664 3844928 4085236 5594496 5767392 6127854 7459328 7689856 8170472 11188992 11534784 12255708 15379712 16340944 22377984 23069568 24511416 30759424 32681888 46139136 49022832 51485989 65363776 92278272 98045664 102971978 130727552 154457967 196091328 205943956 261455104 308915934 392182656 411887912 522910208 617831868 784365312 823775824 875261813 1235663736 1568730624 1647551648 1750523626 2471327472 2625785439 3295103296 3501047252 4942654944 5251570878 6590206592 7002094504 9885309888 10503141756 13180413184 14004189008 19770619776 21006283512 26360826368 28008378016 39541239552 42012567024 56016756032 79082479104 84025134048 112033512064 168050268096 224067024128 336100536192 448134048256 672201072384 1344402144768