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3041244653040 = 2432511796417583
BaseRepresentation
bin101100010000011000010…
…011101010010111110000
3101202201222120100201221100
4230100120103222113300
5344311432112344130
610245043431324400
7432502610010666
oct54203023522760
911681876321840
103041244653040
11a7286a359aa0
124114b6820700
13190a3270c349
14a72a88d8c36
155419a636c60
hex2c4184ea5f0

3041244653040 has 480 divisors, whose sum is σ = 11302145187840. Its totient is φ = 726707404800.

The previous prime is 3041244653023. The next prime is 3041244653063. The reversal of 3041244653040 is 403564421403.

3041244653040 is a `hidden beast` number, since 3 + 0 + 4 + 124 + 465 + 30 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3041244652986 and 3041244653004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401057089 + ... + 401064671.

It is an arithmetic number, because the mean of its divisors is an integer number (23546135808).

Almost surely, 23041244653040 is an apocalyptic number.

3041244653040 is a gapful number since it is divisible by the number (30) 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 3041244653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651072593920).

3041244653040 is an abundant number, since it is smaller than the sum of its proper divisors (8260900534800).

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

3041244653040 is a wasteful number, since it uses less digits than its factorization.

3041244653040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 3041244653040 in words is "three trillion, forty-one billion, two hundred forty-four million, six hundred fifty-three thousand, forty".