Search a number
-
+
4134231223320 = 23351117184234903
BaseRepresentation
bin111100001010010011011…
…000100010110000011000
3112122020011200102100202210
4330022103120202300120
51020213401143121240
612443123430555120
7604455050403402
oct74122330426030
915566150370683
104134231223320
111354354823480
125692a9808aa0
1323cb1948b9b3
1410415274bb72
157281a519780
hex3c293622c18

4134231223320 has 128 divisors (see below), whose sum is σ = 14326106135040. Its totient is φ = 943282698240.

The previous prime is 4134231223319. The next prime is 4134231223349. The reversal of 4134231223320 is 233221324314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92095012 + ... + 92139891.

It is an arithmetic number, because the mean of its divisors is an integer number (111922704180).

Almost surely, 24134231223320 is an apocalyptic number.

4134231223320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134231223320 is an abundant number, since it is smaller than the sum of its proper divisors (10191874911720).

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

4134231223320 is a wasteful number, since it uses less digits than its factorization.

4134231223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184234945 (or 184234941 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 4134231223320 its reverse (233221324314), we get a palindrome (4367452547634).

The spelling of 4134231223320 in words is "four trillion, one hundred thirty-four billion, two hundred thirty-one million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 184234903 368469806 552704709 736939612 921174515 1105409418 1473879224 1842349030 2026583933 2210818836 2763523545 3131993351 3684698060 4053167866 4421637672 5527047090 6079751799 6263986702 7369396120 8106335732 9395980053 10132919665 11054094180 12159503598 12527973404 15659966755 16212671464 18791960106 20265839330 22108188360 24319007196 25055946808 30398758995 31319933510 34451926861 37583920212 40531678660 46979900265 48638014392 60797517990 62639867020 68903853722 75167840424 81063357320 93959800530 103355780583 121595035980 125279734040 137807707444 172259634305 187919601060 206711561166 243190071960 275615414888 344519268610 375839202120 413423122332 516778902915 689038537220 826846244664 1033557805830 1378077074440 2067115611660 4134231223320