Search a number
-
+
4331101322004 = 223538238274493
BaseRepresentation
bin111111000001101001110…
…000010111101100010100
3120100001022220020120211020
4333001221300113230110
51031430043414301004
613113402552241140
7624624504544602
oct77015160275424
916301286216736
104331101322004
11141a89a86a476
1259b4910a01b0
13255562213a52
1410d8aac90872
15779ddcda8d9
hex3f069c17b14

4331101322004 has 48 divisors (see below), whose sum is σ = 10309092780672. Its totient is φ = 1414739544192.

The previous prime is 4331101321957. The next prime is 4331101322047. The reversal of 4331101322004 is 4002231011334.

It is a happy number.

4331101322004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43311013220042 (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 15 ways as a sum of consecutive naturals, for example, 3613819 + ... + 4660674.

It is an arithmetic number, because the mean of its divisors is an integer number (214772766264).

Almost surely, 24331101322004 is an apocalyptic number.

It is an amenable number.

4331101322004 is an abundant number, since it is smaller than the sum of its proper divisors (5977991458668).

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

4331101322004 is a wasteful number, since it uses less digits than its factorization.

4331101322004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275376 (or 8275374 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4331101322004 its reverse (4002231011334), we get a palindrome (8333332333338).

The spelling of 4331101322004 in words is "four trillion, three hundred thirty-one billion, one hundred one million, three hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 823 1646 2469 3292 4938 9876 43619 87238 130857 174476 261714 523428 8274493 16548986 24823479 33097972 49646958 99293916 438548129 877096258 1315644387 1754192516 2631288774 5262577548 6809907739 13619815478 20429723217 27239630956 40859446434 81718892868 360925110167 721850220334 1082775330501 1443700440668 2165550661002 4331101322004