Search a number
-
+
136454903424 = 2733723431569
BaseRepresentation
bin111111100010101011…
…0001001011010000000
3111001012202222022111000
41333011112021122000
54213424423402144
6142404142052000
712600323353530
oct1770526113200
9431182868430
10136454903424
1152963265664
122254257a000
13cb38296108
1468668914c0
1538398a7769
hex1fc5589680

136454903424 has 512 divisors, whose sum is σ = 482236416000. Its totient is φ = 37140111360.

The previous prime is 136454903393. The next prime is 136454903443. The reversal of 136454903424 is 424309454631.

136454903424 is a `hidden beast` number, since 1 + 3 + 64 + 549 + 0 + 3 + 42 + 4 = 666.

136454903424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 136454903424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239815012 + ... + 239815580.

It is an arithmetic number, because the mean of its divisors is an integer number (941868000).

Almost surely, 2136454903424 is an apocalyptic number.

136454903424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136454903424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241118208000).

136454903424 is an abundant number, since it is smaller than the sum of its proper divisors (345781512576).

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

136454903424 is a wasteful number, since it uses less digits than its factorization.

136454903424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 136454903424 in words is "one hundred thirty-six billion, four hundred fifty-four million, nine hundred three thousand, four hundred twenty-four".