Search a number
-
+
453153055040 = 26578922310193
BaseRepresentation
bin1101001100000100000…
…01101110000101000000
31121022200000102022222222
412212002001232011000
524411024140230130
6544101534350212
744511361262030
oct6460201560500
91538600368888
10453153055040
111651aa0a4364
12739a805b368
13339696c0bba
1417d0b57b8c0
15bbc2eb6ce5
hex698206e140

453153055040 has 224 divisors, whose sum is σ = 1252795299840. Its totient is φ = 152917180416.

The previous prime is 453153055009. The next prime is 453153055073. The reversal of 453153055040 is 40550351354.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

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 31 ways as a sum of consecutive naturals, for example, 44452184 + ... + 44462376.

It is an arithmetic number, because the mean of its divisors is an integer number (5592836160).

Almost surely, 2453153055040 is an apocalyptic number.

453153055040 is a gapful number since it is divisible by the number (40) 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 453153055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626397649920).

453153055040 is an abundant number, since it is smaller than the sum of its proper divisors (799642244800).

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

453153055040 is a wasteful number, since it uses less digits than its factorization.

453153055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 453153055040 in words is "four hundred fifty-three billion, one hundred fifty-three million, fifty-five thousand, forty".