Search a number
-
+
14535129978 = 23210116094969
BaseRepresentation
bin11011000100101110…
…00111101101111010
31101111222102002220100
431202113013231322
5214231443124403
610402150140230
71023123365145
oct154227075572
941458362810
1014535129978
11618977a316
122997951676
1314a8443c35
149bc5b505c
155a10da2a3
hex3625c7b7a

14535129978 has 48 divisors (see below), whose sum is σ = 31830762600. Its totient is φ = 4793126400.

The previous prime is 14535129977. The next prime is 14535130003. The reversal of 14535129978 is 87992153541.

It is a happy number.

14535129978 is a `hidden beast` number, since 1 + 4 + 53 + 512 + 9 + 9 + 78 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14485807449 + 49322529 = 120357^2 + 7023^2 .

It is a super-2 number, since 2×145351299782 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14535129971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2922678 + ... + 2927646.

Almost surely, 214535129978 is an apocalyptic number.

14535129978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14535129978 is an abundant number, since it is smaller than the sum of its proper divisors (17295632622).

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

14535129978 is a wasteful number, since it uses less digits than its factorization.

14535129978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6684 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 14535129978 in words is "fourteen billion, five hundred thirty-five million, one hundred twenty-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1609 1818 3218 4827 4969 9654 9938 14481 14907 28962 29814 44721 89442 162509 325018 487527 501869 975054 1003738 1462581 1505607 2925162 3011214 4516821 7995121 9033642 15990242 23985363 47970726 71956089 143912178 807507221 1615014442 2422521663 4845043326 7267564989 14535129978