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4139061020640 = 2533571331339637
BaseRepresentation
bin111100001110110011010…
…000110000011111100000
3112122200122021112111011000
4330032303100300133200
51020303244110130030
612445243002152000
7605015535116220
oct74166320603740
915580567474130
104139061020640
11135640304a707
1256a2171b2600
13240408c96c30
1410448dd86080
15729ee550860
hex3c3b34307e0

4139061020640 has 768 divisors, whose sum is σ = 18405010391040. Its totient is φ = 845123051520.

The previous prime is 4139061020621. The next prime is 4139061020651. The reversal of 4139061020640 is 460201609314.

4139061020640 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 0 + 6 + 1 + 0 + 2 + 0 + 640 = 666.

It is a super-2 number, since 2×41390610206402 (a number of 26 digits) contains 22 as substring.

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 = 4139061020595 and 4139061020604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12016902 + ... + 12356538.

It is an arithmetic number, because the mean of its divisors is an integer number (23964857280).

Almost surely, 24139061020640 is an apocalyptic number.

4139061020640 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 4139061020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202505195520).

4139061020640 is an abundant number, since it is smaller than the sum of its proper divisors (14265949370400).

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

4139061020640 is a wasteful number, since it uses less digits than its factorization.

4139061020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339712 (or 339698 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 4139061020640 its reverse (460201609314), we get a palindrome (4599262629954).

The spelling of 4139061020640 in words is "four trillion, one hundred thirty-nine billion, sixty-one million, twenty thousand, six hundred forty".