Search a number
-
+
14153096448 = 28326142837
BaseRepresentation
bin11010010111001011…
…10001110100000000
31100112100112210102100
431023211301310000
5212441143041243
610300221550400
71010504222601
oct151345616400
940470483370
1014153096448
116003065927
1228aba15400
1314472532aa
14983969da8
1557c7c50d3
hex34b971d00

14153096448 has 54 divisors (see below), whose sum is σ = 40806872834. Its totient is φ = 4717698048.

The previous prime is 14153096431. The next prime is 14153096459. The reversal of 14153096448 is 84469035141.

14153096448 is a `hidden beast` number, since 14 + 1 + 530 + 9 + 64 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12843235584 + 1309860864 = 113328^2 + 36192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3069115 + ... + 3073722.

Almost surely, 214153096448 is an apocalyptic number.

14153096448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14153096448 is an abundant number, since it is smaller than the sum of its proper divisors (26653776386).

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

14153096448 is an equidigital number, since it uses as much as digits as its factorization.

14153096448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142859 (or 6142842 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14153096448 in words is "fourteen billion, one hundred fifty-three million, ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6142837 12285674 18428511 24571348 36857022 49142696 55285533 73714044 98285392 110571066 147428088 196570784 221142132 294856176 393141568 442284264 589712352 786283136 884568528 1179424704 1572566272 1769137056 2358849408 3538274112 4717698816 7076548224 14153096448