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1010245512144 = 2431121273473947
BaseRepresentation
bin11101011001101110101…
…00110010101111010000
310120120121202011100221210
432230313110302233100
5113022440322342034
62052033403220120
7132662553111561
oct16546724625720
93516552140853
101010245512144
1135a496288900
12143961217640
137435bab6a6b
1436c79038168
151b42ae6d8e9
hexeb37532bd0

1010245512144 has 240 divisors, whose sum is σ = 2900278370304. Its totient is φ = 302772476160.

The previous prime is 1010245512097. The next prime is 1010245512181. The reversal of 1010245512144 is 4412155420101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255950779 + ... + 255954725.

Almost surely, 21010245512144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010245512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450139185152).

1010245512144 is an abundant number, since it is smaller than the sum of its proper divisors (1890032858160).

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

1010245512144 is a wasteful number, since it uses less digits than its factorization.

1010245512144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 1010245512144 in words is "one trillion, ten billion, two hundred forty-five million, five hundred twelve thousand, one hundred forty-four".