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44400233020 = 225111323366629
BaseRepresentation
bin101001010110011101…
…011100101000111100
311020121022212112102211
4221112131130220330
51211412424424040
632221443030204
73131164516333
oct512635345074
9136538775384
1044400233020
1117914857260
12873166b364
134257897640
142212b46d1a
15124ce698ea
hexa5675ca3c

44400233020 has 96 divisors (see below), whose sum is σ = 110013059520. Its totient is φ = 14839388160.

The previous prime is 44400232991. The next prime is 44400233027. The reversal of 44400233020 is 2033200444.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 44400232982 and 44400233000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44400233027) 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, 633066 + ... + 699694.

It is an arithmetic number, because the mean of its divisors is an integer number (1145969370).

Almost surely, 244400233020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44400233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55006529760).

44400233020 is an abundant number, since it is smaller than the sum of its proper divisors (65612826500).

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

44400233020 is a wasteful number, since it uses less digits than its factorization.

44400233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66895 (or 66893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 44400233020 its reverse (2033200444), we get a palindrome (46433433464).

The spelling of 44400233020 in words is "forty-four billion, four hundred million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 233 260 286 466 572 715 932 1165 1430 2330 2563 2860 3029 4660 5126 6058 10252 12116 12815 15145 25630 30290 33319 51260 60580 66629 66638 133258 133276 166595 266516 333145 333190 666290 666380 732919 866177 1332580 1465838 1732354 2931676 3464708 3664595 4330885 7329190 8661770 9527947 14658380 15524557 17323540 19055894 31049114 38111788 47639735 62098228 77622785 95279470 155245570 170770127 190558940 201819241 310491140 341540254 403638482 683080508 807276964 853850635 1009096205 1707701270 2018192410 2220011651 3415402540 4036384820 4440023302 8880046604 11100058255 22200116510 44400233020