Search a number
-
+
44157461260 = 225112321294099
BaseRepresentation
bin101001000111111111…
…010110001100001100
311012222102001110012011
4221013333112030030
51210413302230020
632141411351004
73122156141053
oct510777261414
9135872043164
1044157461260
11177aa810240
1286842b2464
1342194b6003
1421cc7cd39a
1512369b235a
hexa47fd630c

44157461260 has 96 divisors (see below), whose sum is σ = 105634368000. Its totient is φ = 15348157440.

The previous prime is 44157461221. The next prime is 44157461279. The reversal of 44157461260 is 6216475144.

It is an unprimeable number.

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, 10770691 + ... + 10774789.

It is an arithmetic number, because the mean of its divisors is an integer number (1100358000).

Almost surely, 244157461260 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 44157461260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52817184000).

44157461260 is an abundant number, since it is smaller than the sum of its proper divisors (61476906740).

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

44157461260 is a wasteful number, since it uses less digits than its factorization.

44157461260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 44157461260 in words is "forty-four billion, one hundred fifty-seven million, four hundred sixty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2129 2530 4099 4258 5060 8198 8516 10645 16396 20495 21290 23419 40990 42580 45089 46838 48967 81980 90178 93676 94277 97934 117095 180356 188554 195868 225445 234190 244835 377108 450890 468380 471385 489670 538637 901780 942770 979340 1037047 1077274 1885540 2074094 2154548 2693185 4148188 5185235 5386370 8726771 10370470 10772740 17453542 20740940 34907084 43633855 87267710 95994481 174535420 191988962 200715733 383977924 401431466 479972405 802862932 959944810 1003578665 1919889620 2007157330 2207873063 4014314660 4415746126 8831492252 11039365315 22078730630 44157461260