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4234033897000 = 235323935415003
BaseRepresentation
bin111101100111010000000…
…101100001111000101000
3112222202210002202111012021
4331213100011201320220
51023332300134201000
613001031024354224
7614620210211455
oct75472005417050
915882702674167
104234033897000
111392709832376
12584701475974
1324936313c0ab
14108cdd4c482c
157520c27711a
hex3d9d0161e28

4234033897000 has 128 divisors (see below), whose sum is σ = 9953892748800. Its totient is φ = 1685714016000.

The previous prime is 4234033896919. The next prime is 4234033897001. The reversal of 4234033897000 is 7983304324.

It is not an unprimeable number, because it can be changed into a prime (4234033897001) 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 31 ways as a sum of consecutive naturals, for example, 846296499 + ... + 846301501.

It is an arithmetic number, because the mean of its divisors is an integer number (77764787100).

Almost surely, 24234033897000 is an apocalyptic number.

4234033897000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234033897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976946374400).

4234033897000 is an abundant number, since it is smaller than the sum of its proper divisors (5719858851800).

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

4234033897000 is a wasteful number, since it uses less digits than its factorization.

4234033897000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 4234033897000 in words is "four trillion, two hundred thirty-four billion, thirty-three million, eight hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 239 250 478 500 956 1000 1195 1912 2390 3541 4780 5003 5975 7082 9560 10006 11950 14164 17705 20012 23900 25015 28328 29875 35410 40024 47800 50030 59750 70820 88525 100060 119500 125075 141640 177050 200120 239000 250150 354100 442625 500300 625375 708200 846299 885250 1000600 1195717 1250750 1692598 1770500 2391434 2501500 3385196 3541000 4231495 4782868 5003000 5978585 6770392 8462990 9565736 11957170 16925980 17715623 21157475 23914340 29892925 33851960 35431246 42314950 47828680 59785850 70862492 84629900 88578115 105787375 119571700 141724984 149464625 169259800 177156230 211574750 239143400 298929250 354312460 423149500 442890575 597858500 708624920 846299000 885781150 1195717000 1771562300 2214452875 3543124600 4234033897 4428905750 8468067794 8857811500 16936135588 17715623000 21170169485 33872271176 42340338970 84680677940 105850847425 169361355880 211701694850 423403389700 529254237125 846806779400 1058508474250 2117016948500 4234033897000