Search a number
-
+
425200013440 = 275664375021
BaseRepresentation
bin1100010111111111110…
…01010101000010000000
31111122111220211200122221
412023333321111002000
523431302200412230
6523200103540424
742501565323646
oct6137771250200
91448456750587
10425200013440
11154365360494
126a4a675a714
1331133434cb7
1416818d33196
15b0d8e2927a
hex62ffe55080

425200013440 has 32 divisors (see below), whose sum is σ = 1016493783660. Its totient is φ = 170080005120.

The previous prime is 425200013431. The next prime is 425200013453. The reversal of 425200013440 is 44310002524.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 424864097856 + 335915584 = 651816^2 + 18328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 332186871 + ... + 332188150.

Almost surely, 2425200013440 is an apocalyptic number.

425200013440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425200013440 is an abundant number, since it is smaller than the sum of its proper divisors (591293770220).

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

425200013440 is an equidigital number, since it uses as much as digits as its factorization.

425200013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664375040 (or 664375028 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 425200013440 its reverse (44310002524), we get a palindrome (469510015964).

It can be divided in two parts, 42520001 and 3440, that added together give a square (42523441 = 65212).

The spelling of 425200013440 in words is "four hundred twenty-five billion, two hundred million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 664375021 1328750042 2657500084 3321875105 5315000168 6643750210 10630000336 13287500420 21260000672 26575000840 42520001344 53150001680 85040002688 106300003360 212600006720 425200013440