Search a number
-
+
44372220340 = 225713711871949
BaseRepresentation
bin101001010100110010…
…100101100110110100
311020112101011100021011
4221110302211212310
51211333242022330
632215002402004
73130404435610
oct512462454664
9136471140234
1044372220340
11178aaa63988
128724200304
134251b3a0a6
14220d134340
15124a78482a
hexa54ca59b4

44372220340 has 96 divisors (see below), whose sum is σ = 107416108800. Its totient is φ = 15081821184.

The previous prime is 44372220337. The next prime is 44372220359. The reversal of 44372220340 is 4302227344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22765686 + ... + 22767634.

It is an arithmetic number, because the mean of its divisors is an integer number (1118917800).

Almost surely, 244372220340 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 44372220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53708054400).

44372220340 is an abundant number, since it is smaller than the sum of its proper divisors (63043888460).

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

44372220340 is a wasteful number, since it uses less digits than its factorization.

44372220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 31.

Adding to 44372220340 its reverse (4302227344), we get a palindrome (48674447684).

The spelling of 44372220340 in words is "forty-four billion, three hundred seventy-two million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1187 1370 1918 1949 2374 2740 3836 3898 4748 4795 5935 7796 8309 9590 9745 11870 13643 16618 19180 19490 23740 27286 33236 38980 41545 54572 68215 83090 136430 162619 166180 267013 272860 325238 534026 650476 813095 1068052 1138333 1335065 1626190 1869091 2276666 2313463 2670130 3252380 3738182 4553332 4626926 5340260 5691665 7476364 9253852 9345455 11383330 11567315 16194241 18690910 22766660 23134630 32388482 37381820 46269260 64776964 80971205 161942410 316944431 323884820 633888862 1267777724 1584722155 2218611017 3169444310 4437222034 6338888620 8874444068 11093055085 22186110170 44372220340