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2140192877040 = 243255360193319
BaseRepresentation
bin11111001001001101011…
…011111010100111110000
321120121012201110220021100
4133021031123322213300
5240031103334031130
64315105132524400
7310423655204061
oct37111533724760
97517181426240
102140192877040
117557180a2339
122a694a320700
13126a8608849a
147582b968568
153aa10aecc60
hex1f24d6fa9f0

2140192877040 has 240 divisors, whose sum is σ = 7335357382080. Its totient is φ = 559012147200.

The previous prime is 2140192877027. The next prime is 2140192877063. The reversal of 2140192877040 is 407782910412.

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 (45).

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, 22887501 + ... + 22980819.

It is an arithmetic number, because the mean of its divisors is an integer number (30563989092).

Almost surely, 22140192877040 is an apocalyptic number.

2140192877040 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 2140192877040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667678691040).

2140192877040 is an abundant number, since it is smaller than the sum of its proper divisors (5195164505040).

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

2140192877040 is a wasteful number, since it uses less digits than its factorization.

2140192877040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93992 (or 93983 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 2140192877040 in words is "two trillion, one hundred forty billion, one hundred ninety-two million, eight hundred seventy-seven thousand, forty".