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34231242120 = 23351491914499
BaseRepresentation
bin11111111000010101…
…110100110110001000
310021100122010021101020
4133320111310312020
51030101144221440
623420422152440
72321165520465
oct377025646610
9107318107336
1034231242120
1113576709949
126773b82720
1332c6b8c26a
14192a39466c
15d5532a3d0
hex7f8574d88

34231242120 has 64 divisors (see below), whose sum is σ = 103383000000. Its totient is φ = 9067062528.

The previous prime is 34231242119. The next prime is 34231242139. The reversal of 34231242120 is 2124213243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939370 + ... + 975129.

It is an arithmetic number, because the mean of its divisors is an integer number (1615359375).

Almost surely, 234231242120 is an apocalyptic number.

34231242120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34231242120 is an abundant number, since it is smaller than the sum of its proper divisors (69151757880).

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

34231242120 is a wasteful number, since it uses less digits than its factorization.

34231242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914662 (or 1914658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34231242120 its reverse (2124213243), we get a palindrome (36355455363).

The spelling of 34231242120 in words is "thirty-four billion, two hundred thirty-one million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2980 3576 4470 5960 8940 17880 1914499 3828998 5743497 7657996 9572495 11486994 15315992 19144990 22973988 28717485 38289980 45947976 57434970 76579960 114869940 229739880 285260351 570520702 855781053 1141041404 1426301755 1711562106 2282082808 2852603510 3423124212 4278905265 5705207020 6846248424 8557810530 11410414040 17115621060 34231242120