Search a number
-
+
95444490240 = 211355112317
BaseRepresentation
bin101100011100011101…
…1110101100000000000
3100010100200122110200000
41120320323311200000
53030432242141430
6111502510400000
76616126531641
oct1307073654000
9303320573600
1095444490240
1137528a21200
12165b8200000
139000a9ba38
1448960256c8
152739333e60
hex1638ef5800

95444490240 has 864 divisors, whose sum is σ = 378255543120. Its totient is φ = 23065067520.

The previous prime is 95444490227. The next prime is 95444490259. The reversal of 95444490240 is 4209444459.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301086562 + ... + 301086878.

Almost surely, 295444490240 is an apocalyptic number.

95444490240 is a gapful number since it is divisible by the number (90) 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 95444490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189127771560).

95444490240 is an abundant number, since it is smaller than the sum of its proper divisors (282811052880).

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

95444490240 is a wasteful number, since it uses less digits than its factorization.

95444490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 95444490240 in words is "ninety-five billion, four hundred forty-four million, four hundred ninety thousand, two hundred forty".