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2140746760400 = 24525351866901
BaseRepresentation
bin11111001001101110011…
…100110100000011010000
321120122122022201002101212
4133021232130310003100
5240033222132313100
64315240120315252
7310443462141263
oct37115634640320
97518568632355
102140746760400
11755981812086
122a6a83912b28
13126b43a58411
1475881348cda
153aa4455b635
hex1f26e7340d0

2140746760400 has 30 divisors (see below), whose sum is σ = 5143144092822. Its totient is φ = 856298704000.

The previous prime is 2140746760343. The next prime is 2140746760417. The reversal of 2140746760400 is 40676470412.

It can be written as a sum of positive squares in 3 ways, for example, as 104908618816 + 2035838141584 = 323896^2 + 1426828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2675933051 + ... + 2675933850.

Almost surely, 22140746760400 is an apocalyptic number.

2140746760400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140746760400 is an abundant number, since it is smaller than the sum of its proper divisors (3002397332422).

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

2140746760400 is a wasteful number, since it uses less digits than its factorization.

2140746760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351866919 (or 5351866908 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 2140746760400 in words is "two trillion, one hundred forty billion, seven hundred forty-six million, seven hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5351866901 10703733802 21407467604 26759334505 42814935208 53518669010 85629870416 107037338020 133796672525 214074676040 267593345050 428149352080 535186690100 1070373380200 2140746760400