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2140423920720 = 2432579253914821
BaseRepresentation
bin11111001001011011001…
…101010001110001010000
321120121210211020010121200
4133021123031101301100
5240032042010430340
64315144104551200
7310432462064601
oct37113315216120
97517724203550
102140423920720
11755826558928
122a69b3782500
13126ac1bc1817
147585050bda8
153aa2603a330
hex1f25b351c50

2140423920720 has 240 divisors, whose sum is σ = 7282605907200. Its totient is φ = 563294684160.

The previous prime is 2140423920601. The next prime is 2140423920757. The reversal of 2140423920720 is 270293240412.

It is a happy number.

2140423920720 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 423 + 9 + 207 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 144410910 + ... + 144425730.

It is an arithmetic number, because the mean of its divisors is an integer number (30344191280).

Almost surely, 22140423920720 is an apocalyptic number.

2140423920720 is a gapful number since it is divisible by the number (20) 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 2140423920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641302953600).

2140423920720 is an abundant number, since it is smaller than the sum of its proper divisors (5142181986480).

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

2140423920720 is a wasteful number, since it uses less digits than its factorization.

2140423920720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17458 (or 17449 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2140423920720 in words is "two trillion, one hundred forty billion, four hundred twenty-three million, nine hundred twenty thousand, seven hundred twenty".