Search a number
-
+
4013414440032 = 25349177850121
BaseRepresentation
bin111010011001110010001…
…001000101110001100000
3112012200022202022212020110
4322121302021011301200
51011223433044040112
612311423120011320
7562650102603534
oct72316211056140
915180282285213
104013414440032
111308096904a48
125499b0460b40
13231603cc650a
14dc370b4bbc4
156e5e89c413c
hex3a672245c60

4013414440032 has 48 divisors (see below), whose sum is σ = 10535439528432. Its totient is φ = 1337776035840.

The previous prime is 4013414440019. The next prime is 4013414440151. The reversal of 4013414440032 is 2300444143104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40134144400322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4295932 + ... + 5146052.

It is an arithmetic number, because the mean of its divisors is an integer number (219488323509).

Almost surely, 24013414440032 is an apocalyptic number.

It is an amenable number.

4013414440032 is an abundant number, since it is smaller than the sum of its proper divisors (6522025088400).

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

4013414440032 is a wasteful number, since it uses less digits than its factorization.

4013414440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899311 (or 899303 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4013414440032 its reverse (2300444143104), we get a palindrome (6313858583136).

The spelling of 4013414440032 in words is "four trillion, thirteen billion, four hundred fourteen million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 49177 98354 147531 196708 295062 393416 590124 786832 850121 1180248 1573664 1700242 2360496 2550363 3400484 4720992 5100726 6800968 10201452 13601936 20402904 27203872 40805808 81611616 41806400417 83612800834 125419201251 167225601668 250838402502 334451203336 501676805004 668902406672 1003353610008 1337804813344 2006707220016 4013414440032