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34143130032 = 24311349918481
BaseRepresentation
bin11111110011000101…
…101101000110110000
310021010111022201022120
4133303011231012300
51024411120130112
623403553434240
72316045550104
oct376305550660
9107114281276
1034143130032
11135309a7a40
12674a56b980
1332b184b72b
14191c7b9904
15d4c722e8c
hex7f316d1b0

34143130032 has 80 divisors (see below), whose sum is σ = 96254256000. Its totient is φ = 10342886400.

The previous prime is 34143130027. The next prime is 34143130033. The reversal of 34143130032 is 23003134143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34143129984 and 34143130011.

It is not an unprimeable number, because it can be changed into a prime (34143130033) by changing a digit.

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, 1838232 + ... + 1856712.

It is an arithmetic number, because the mean of its divisors is an integer number (1203178200).

Almost surely, 234143130032 is an apocalyptic number.

It is an amenable number.

34143130032 is an abundant number, since it is smaller than the sum of its proper divisors (62111125968).

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

34143130032 is a wasteful number, since it uses less digits than its factorization.

34143130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22002 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34143130032 its reverse (23003134143), we get a palindrome (57146264175).

The spelling of 34143130032 in words is "thirty-four billion, one hundred forty-three million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3499 6998 10497 13996 18481 20994 27992 36962 38489 41988 55443 55984 73924 76978 83976 110886 115467 147848 153956 167952 203291 221772 230934 295696 307912 406582 443544 461868 609873 615824 813164 887088 923736 1219746 1626328 1847472 2439492 3252656 4878984 9757968 64665019 129330038 193995057 258660076 387990114 517320152 711315209 775980228 1034640304 1422630418 1551960456 2133945627 2845260836 3103920912 4267891254 5690521672 8535782508 11381043344 17071565016 34143130032