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1425841344 = 263215715767
BaseRepresentation
bin101010011111100…
…1001110011000000
310200100222020121200
41110333021303000
510410003410334
6353252421200
750222310564
oct12477116300
93610866550
101425841344
11671939784
12339617800
13199528905
14d751b6a4
158529b799
hex54fc9cc0

1425841344 has 84 divisors (see below), whose sum is σ = 4113208944. Its totient is φ = 472223232.

The previous prime is 1425841327. The next prime is 1425841367. The reversal of 1425841344 is 4431485241.

1425841344 is a `hidden beast` number, since 1 + 42 + 584 + 1 + 34 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1425841299 and 1425841308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82549 + ... + 98315.

Almost surely, 21425841344 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 1425841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056604472).

1425841344 is an abundant number, since it is smaller than the sum of its proper divisors (2687367600).

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

1425841344 is a wasteful number, since it uses less digits than its factorization.

1425841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15942 (or 15929 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 1425841344 is about 37760.3144054707. The cubic root of 1425841344 is about 1125.5299808085.

The spelling of 1425841344 in words is "one billion, four hundred twenty-five million, eight hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 157 192 288 314 471 576 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 10048 11304 15072 15767 22608 30144 31534 45216 47301 63068 90432 94602 126136 141903 189204 252272 283806 378408 504544 567612 756816 1009088 1135224 1513632 2270448 2475419 3027264 4540896 4950838 7426257 9081792 9901676 14852514 19803352 22278771 29705028 39606704 44557542 59410056 79213408 89115084 118820112 158426816 178230168 237640224 356460336 475280448 712920672 1425841344