Search a number
-
+
740649420000 = 25375474159
BaseRepresentation
bin10101100011100100010…
…01010100010011100000
32121210202010112220000000
422301302021110103200
544113322222420000
61324125531300000
7104336661124050
oct12616211242340
92553663486000
10740649420000
1126612031a586
12bb661baa600
1354ac5c2c499
1427bc1c41560
15143ecac0000
hexac722544e0

740649420000 has 1920 divisors, whose sum is σ = 3253538534400. Its totient is φ = 162362880000.

The previous prime is 740649419969. The next prime is 740649420023. The reversal of 740649420000 is 24946047.

740649420000 is a `hidden beast` number, since 7 + 4 + 0 + 649 + 4 + 2 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12553379971 + ... + 12553380029.

It is an arithmetic number, because the mean of its divisors is an integer number (1694551320).

Almost surely, 2740649420000 is an apocalyptic number.

740649420000 is a gapful number since it is divisible by the number (70) 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 740649420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626769267200).

740649420000 is an abundant number, since it is smaller than the sum of its proper divisors (2512889114400).

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

740649420000 is an frugal number, since it uses more digits than its factorization.

740649420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 740649420000 in words is "seven hundred forty billion, six hundred forty-nine million, four hundred twenty thousand".