Search a number
-
+
840502149120 = 2163251032767
BaseRepresentation
bin11000011101100011101…
…01010000000000000000
32222100111001002002120200
430032301311100000000
5102232322022232440
61442042114005200
7114503266250304
oct14166165200000
92870431062520
10840502149120
112a4500607907
12116a8a576800
136134a08729a
142c9754c7d04
1516ce3e18c30
hexc3b1d50000

840502149120 has 408 divisors, whose sum is σ = 2943070331136. Its totient is φ = 221877633024.

The previous prime is 840502149107. The next prime is 840502149133. The reversal of 840502149120 is 21941205048.

840502149120 is a `hidden beast` number, since 8 + 4 + 0 + 502 + 149 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (840502149107) and next prime (840502149133).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303757977 + ... + 303760743.

Almost surely, 2840502149120 is an apocalyptic number.

840502149120 is a gapful number since it is divisible by the number (80) 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 840502149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471535165568).

840502149120 is an abundant number, since it is smaller than the sum of its proper divisors (2102568182016).

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

840502149120 is a wasteful number, since it uses less digits than its factorization.

840502149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 840502149120 in words is "eight hundred forty billion, five hundred two million, one hundred forty-nine thousand, one hundred twenty".