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4107308431380 = 22357112297338177
BaseRepresentation
bin111011110001001110101…
…010001111100000010100
3112112122200101102211021120
4323301032222033200110
51014243231424301010
612422512122043540
7602512634424540
oct73611652174024
915478611384246
104107308431380
111343999594400
125640353495b0
1323a4187a178b
14102b1ac86a20
1571c91b35e70
hex3bc4ea8f814

4107308431380 has 576 divisors, whose sum is σ = 15150154360320. Its totient is φ = 812727336960.

The previous prime is 4107308431363. The next prime is 4107308431441. The reversal of 4107308431380 is 831348037014.

4107308431380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107566852 + ... + 107605028.

It is an arithmetic number, because the mean of its divisors is an integer number (26302351320).

Almost surely, 24107308431380 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 4107308431380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7575077180160).

4107308431380 is an abundant number, since it is smaller than the sum of its proper divisors (11042845928940).

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

4107308431380 is a wasteful number, since it uses less digits than its factorization.

4107308431380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38320 (or 38307 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 4107308431380 in words is "four trillion, one hundred seven billion, three hundred eight million, four hundred thirty-one thousand, three hundred eighty".