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4003973094640 = 245159227314329
BaseRepresentation
bin111010010000111111011…
…001001101110011110000
3112011202221202202211011111
4322100333121031303300
51011100114103012030
612303222211123104
7562164120520321
oct72207731156360
915152852684144
104003973094640
111304091479462
12547bb65a3494
1323075ac898cc
14dbb16c8c448
156e244bb862a
hex3a43f64dcf0

4003973094640 has 40 divisors (see below), whose sum is σ = 9309325526640. Its totient is φ = 1601574084096.

The previous prime is 4003973094631. The next prime is 4003973094643. The reversal of 4003973094640 is 464903793004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003973094643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12580996 + ... + 12895324.

It is an arithmetic number, because the mean of its divisors is an integer number (232733138166).

Almost surely, 24003973094640 is an apocalyptic number.

4003973094640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003973094640 is an abundant number, since it is smaller than the sum of its proper divisors (5305352432000).

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

4003973094640 is a wasteful number, since it uses less digits than its factorization.

4003973094640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473569 (or 473563 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

The spelling of 4003973094640 in words is "four trillion, three billion, nine hundred seventy-three million, ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 159227 314329 318454 628658 636908 796135 1257316 1273816 1571645 1592270 2514632 2547632 3143290 3184540 5029264 6286580 6369080 12573160 12738160 25146320 50049663683 100099327366 200198654732 250248318415 400397309464 500496636830 800794618928 1000993273660 2001986547320 4003973094640