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7973141140 = 225417795441
BaseRepresentation
bin1110110110011110…
…00111101010010100
3202120122212112110201
413123033013222110
5112312111004030
63355100030244
7401403403306
oct73317075224
922518775421
107973141140
1134216a2a48
121666232384
139a0acaac3
14558cb5976
15319e922ca
hex1db3c7a94

7973141140 has 24 divisors (see below), whose sum is σ = 16747780392. Its totient is φ = 3188459520.

The previous prime is 7973141119. The next prime is 7973141149. The reversal of 7973141140 is 411413797.

It can be written as a sum of positive squares in 4 ways, for example, as 4010942224 + 3962198916 = 63332^2 + 62946^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7973141140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7973141149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35820 + ... + 131260.

It is an arithmetic number, because the mean of its divisors is an integer number (697824183).

Almost surely, 27973141140 is an apocalyptic number.

It is an amenable number.

7973141140 is an abundant number, since it is smaller than the sum of its proper divisors (8774639252).

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

7973141140 is a wasteful number, since it uses less digits than its factorization.

7973141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99627 (or 99625 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 7973141140 is about 89292.4472729917. The cubic root of 7973141140 is about 1997.7592521287.

The spelling of 7973141140 in words is "seven billion, nine hundred seventy-three million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 4177 8354 16708 20885 41770 83540 95441 190882 381764 477205 954410 1908820 398657057 797314114 1594628228 1993285285 3986570570 7973141140