Search a number
-
+
10424040331425 = 3527171167959701
BaseRepresentation
bin1001011110110000100100…
…1110001001100010100001
31100220112021021220222211120
42113230021032021202201
52331241413311101200
634100423225002453
72124053302604160
oct227541116114241
940815237828746
1010424040331425
1133598a1016216
1212042ba023429
135a7ca1244536
142807520293d7
151312471479a0
hex97b093898a1

10424040331425 has 48 divisors (see below), whose sum is σ = 20855088438912. Its totient is φ = 4484965248000.

The previous prime is 10424040331333. The next prime is 10424040331501. The reversal of 10424040331425 is 52413304042401.

It is not a de Polignac number, because 10424040331425 - 210 = 10424040330401 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 583970926 + ... + 583988775.

It is an arithmetic number, because the mean of its divisors is an integer number (434481009144).

Almost surely, 210424040331425 is an apocalyptic number.

10424040331425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10424040331425 is an abundant number, since it is smaller than the sum of its proper divisors (10431048107487).

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

10424040331425 is a wasteful number, since it uses less digits than its factorization.

10424040331425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167959738 (or 1167959733 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 10424040331425 its reverse (52413304042401), we get a palindrome (62837344373826).

The spelling of 10424040331425 in words is "ten trillion, four hundred twenty-four billion, forty million, three hundred thirty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2975 8925 1167959701 3503879103 5839798505 8175717907 17519395515 19855314917 24527153721 29198992525 40878589535 59565944751 87596977575 99276574585 122635768605 138987204419 204392947675 297829723755 416961613257 496382872925 613178843025 694936022095 1489148618775 2084808066285 3474680110475 10424040331425