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44122411344 = 24311197955673
BaseRepresentation
bin101001000101111001…
…101001000101010000
311012212222002201202010
4221011321221011100
51210330314130334
632134120222520
73121252210524
oct510571510520
9135788081663
1044122411344
1117791a50770
12867460aa40
13421216360b
1421c7ca7d84
15123388c0e9
hexa45e69150

44122411344 has 160 divisors (see below), whose sum is σ = 132548659200. Its totient is φ = 12506158080.

The previous prime is 44122411339. The next prime is 44122411349. The reversal of 44122411344 is 44311422144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44122411339) and next prime (44122411349).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44122411349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 764692 + ... + 820364.

It is an arithmetic number, because the mean of its divisors is an integer number (828429120).

Almost surely, 244122411344 is an apocalyptic number.

44122411344 is a gapful number since it is divisible by the number (44) 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 44122411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66274329600).

44122411344 is an abundant number, since it is smaller than the sum of its proper divisors (88426247856).

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

44122411344 is a wasteful number, since it uses less digits than its factorization.

44122411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55793 (or 55787 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 44122411344 its reverse (44311422144), we get a palindrome (88433833488).

The spelling of 44122411344 in words is "forty-four billion, one hundred twenty-two million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 79 88 114 132 152 158 176 209 228 237 264 304 316 418 456 474 528 627 632 836 869 912 948 1254 1264 1501 1672 1738 1896 2508 2607 3002 3344 3476 3792 4503 5016 5214 6004 6952 9006 10032 10428 12008 13904 16511 18012 20856 24016 33022 36024 41712 49533 55673 66044 72048 99066 111346 132088 167019 198132 222692 264176 334038 396264 445384 612403 668076 792528 890768 1057787 1224806 1336152 1837209 2115574 2449612 2672304 3173361 3674418 4231148 4398167 4899224 6346722 7348836 8462296 8796334 9798448 11635657 12693444 13194501 14697672 16924592 17592668 23271314 25386888 26389002 29395344 34906971 35185336 46542628 48379837 50773776 52778004 69813942 70370672 83565173 93085256 96759674 105556008 139627884 145139511 167130346 186170512 193519348 211112016 250695519 279255768 290279022 334260692 387038696 501391038 558511536 580558044 668521384 774077392 919216903 1002782076 1161116088 1337042768 1838433806 2005564152 2322232176 2757650709 3676867612 4011128304 5515301418 7353735224 11030602836 14707470448 22061205672 44122411344