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44242222301344 = 25471031447197371
BaseRepresentation
bin10100000111100111100011…
…11100011100000010100000
312210122111220112121112120201
422003303301330130002200
521244331032402120334
6234032332450514544
712214252340456254
oct1203636174340240
9183574815545521
1044242222301344
1113108026107861
124b66532895a54
131b8c03cca4012
14acd4992ac264
1551ac95ca7c14
hex283cf1f1c0a0

44242222301344 has 96 divisors (see below), whose sum is σ = 89881276133376. Its totient is φ = 21425325085440.

The previous prime is 44242222301327. The next prime is 44242222301377. The reversal of 44242222301344 is 44310322224244.

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, 224058979 + ... + 224256349.

It is an arithmetic number, because the mean of its divisors is an integer number (936263293056).

Almost surely, 244242222301344 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 44242222301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44940638066688).

44242222301344 is an abundant number, since it is smaller than the sum of its proper divisors (45639053832032).

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

44242222301344 is a wasteful number, since it uses less digits than its factorization.

44242222301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198978 (or 198970 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 44242222301344 its reverse (44310322224244), we get a palindrome (88552544525588).

The spelling of 44242222301344 in words is "forty-four trillion, two hundred forty-two billion, two hundred twenty-two million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 47 94 103 188 206 376 412 752 824 1447 1504 1648 2894 3296 4841 5788 9682 11576 19364 23152 38728 46304 68009 77456 136018 149041 154912 197371 272036 298082 394742 544072 596164 789484 1088144 1192328 1578968 2176288 2384656 3157936 4769312 6315872 7004927 9276437 14009854 18552874 20329213 28019708 37105748 40658426 56039416 74211496 81316852 112078832 148422992 162633704 224157664 285595837 296845984 325267408 571191674 650534816 955473011 1142383348 1910946022 2284766696 3821892044 4569533392 7643784088 9139066784 13423004339 15287568176 26846008678 29416371211 30575136352 53692017356 58832742422 107384034712 117665484844 214768069424 235330969688 429536138848 470661939376 941323878752 1382569446917 2765138893834 5530277787668 11060555575336 22121111150672 44242222301344