Search a number
-
+
44234332000 = 255347235289
BaseRepresentation
bin101001001100100100…
…100101011101100000
311020011202200220000121
4221030210211131200
51211042442111000
632153155130024
73124111422025
oct511444453540
9136152626017
1044234332000
111783a144381
1286a5ba3914
13422c3bbc61
1421d8abd54c
15123d5e8b1a
hexa4c925760

44234332000 has 96 divisors (see below), whose sum is σ = 110996645760. Its totient is φ = 17317196800.

The previous prime is 44234331991. The next prime is 44234332033. The reversal of 44234332000 is 23343244.

It is a super-2 number, since 2×442343320002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70356 + ... + 305644.

It is an arithmetic number, because the mean of its divisors is an integer number (1156215060).

Almost surely, 244234332000 is an apocalyptic number.

44234332000 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 44234332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55498322880).

44234332000 is an abundant number, since it is smaller than the sum of its proper divisors (66762313760).

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

44234332000 is a wasteful number, since it uses less digits than its factorization.

44234332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235361 (or 235343 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 44234332000 its reverse (23343244), we get a palindrome (44257675244).

The spelling of 44234332000 in words is "forty-four billion, two hundred thirty-four million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 752 800 940 1000 1175 1504 1880 2000 2350 3760 4000 4700 5875 7520 9400 11750 18800 23500 37600 47000 94000 188000 235289 470578 941156 1176445 1882312 2352890 3764624 4705780 5882225 7529248 9411560 11058583 11764450 18823120 22117166 23528900 29411125 37646240 44234332 47057800 55292915 58822250 88468664 94115600 110585830 117644500 176937328 188231200 221171660 235289000 276464575 353874656 442343320 470578000 552929150 884686640 941156000 1105858300 1382322875 1769373280 2211716600 2764645750 4423433200 5529291500 8846866400 11058583000 22117166000 44234332000