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109060147440 = 243351983101317
BaseRepresentation
bin110010110010001111…
…1011100100011110000
3101102111120220112001000
41211210133130203300
53241323344204230
6122033533242000
710610416646346
oct1454437344360
9342446815030
10109060147440
1142285678a62
1219178033300
13a39088bb2a
1453c8451996
152c84847b60
hex19647dc8f0

109060147440 has 640 divisors, whose sum is σ = 405424051200. Its totient is φ = 26865561600.

The previous prime is 109060147439. The next prime is 109060147451. The reversal of 109060147440 is 44741060901.

109060147440 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 601 + 4 + 7 + 4 + 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 = 109060147395 and 109060147404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 344038162 + ... + 344038478.

It is an arithmetic number, because the mean of its divisors is an integer number (633475080).

Almost surely, 2109060147440 is an apocalyptic number.

109060147440 is a gapful number since it is divisible by the number (10) 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 109060147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202712025600).

109060147440 is an abundant number, since it is smaller than the sum of its proper divisors (296363903760).

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

109060147440 is a wasteful number, since it uses less digits than its factorization.

109060147440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 109060147440 in words is "one hundred nine billion, sixty million, one hundred forty-seven thousand, four hundred forty".