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4234143322404 = 2233211724725639
BaseRepresentation
bin111101100111010110100…
…110111101000100100100
3112222210001201122212122000
4331213112212331010210
51023333011142304104
613001045534005300
7614623006261122
oct75472646750444
915883051585560
104234143322404
111392765581296
12584732046830
1324937ca02a58
14108d0dc4a912
1575216b8e639
hex3d9d69bd124

4234143322404 has 96 divisors (see below), whose sum is σ = 11031386419200. Its totient is φ = 1404443486880.

The previous prime is 4234143322399. The next prime is 4234143322417. The reversal of 4234143322404 is 4042233414324.

4234143322404 is a `hidden beast` number, since 4 + 2 + 341 + 43 + 32 + 240 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 165131817 + ... + 165157455.

It is an arithmetic number, because the mean of its divisors is an integer number (114910275200).

Almost surely, 24234143322404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234143322404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515693209600).

4234143322404 is an abundant number, since it is smaller than the sum of its proper divisors (6797243096796).

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

4234143322404 is a wasteful number, since it uses less digits than its factorization.

4234143322404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33110 (or 33102 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4234143322404 its reverse (4042233414324), we get a palindrome (8276376736728).

The spelling of 4234143322404 in words is "four trillion, two hundred thirty-four billion, one hundred forty-three million, three hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1266 1899 2532 3798 5697 7247 7596 11394 14494 21741 22788 25639 28988 43482 51278 65223 76917 86964 102556 130446 153834 195669 230751 260892 307668 391338 461502 692253 782676 923004 1384506 1529117 2769012 3058234 4587351 5409829 6116468 9174702 10819658 13762053 16229487 18349404 21639316 27524106 32458974 41286159 48688461 55048212 64917948 82572318 97376922 146065383 165144636 185805833 194753844 292130766 371611666 557417499 584261532 743223332 1114834998 1672252497 2229669996 3344504994 5016757491 6689009988 10033514982 20067029964 39205030763 78410061526 117615092289 156820123052 235230184578 352845276867 470460369156 705690553734 1058535830601 1411381107468 2117071661202 4234143322404