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44124441240 = 23351136779091
BaseRepresentation
bin101001000110000001…
…011000101010011000
311012220002220212020110
4221012001120222120
51210331324104430
632134231524320
73121305363555
oct510601305230
9135802825213
1044124441240
1117793107870
1286752296a0
1342126c4539
1421c8275a2c
151233b3d7b0
hexa46058a98

44124441240 has 128 divisors (see below), whose sum is σ = 144462424320. Its totient is φ = 10692748800.

The previous prime is 44124441233. The next prime is 44124441269. The reversal of 44124441240 is 4214442144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44124441198 and 44124441207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4849095 + ... + 4858185.

It is an arithmetic number, because the mean of its divisors is an integer number (1128612690).

Almost surely, 244124441240 is an apocalyptic number.

44124441240 is a gapful number since it is divisible by the number (40) 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 44124441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72231212160).

44124441240 is an abundant number, since it is smaller than the sum of its proper divisors (100337983080).

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

44124441240 is a wasteful number, since it uses less digits than its factorization.

44124441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793 (or 12789 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 44124441240 its reverse (4214442144), we get a palindrome (48338883384).

The spelling of 44124441240 in words is "forty-four billion, one hundred twenty-four million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3677 7354 9091 11031 14708 18182 18385 22062 27273 29416 36364 36770 40447 44124 45455 54546 55155 72728 73540 80894 88248 90910 100001 109092 110310 121341 136365 147080 161788 181820 200002 202235 218184 220620 242682 272730 300003 323576 363640 400004 404470 441240 485364 500005 545460 600006 606705 800008 808940 970728 1000010 1090920 1200012 1213410 1500015 1617880 2000020 2400024 2426820 3000030 4000040 4853640 6000060 12000120 33427607 66855214 100282821 133710428 167138035 200565642 267420856 334276070 367703677 401131284 501414105 668552140 735407354 802262568 1002828210 1103111031 1337104280 1470814708 1838518385 2005656420 2206222062 2941629416 3677036770 4011312840 4412444124 5515555155 7354073540 8824888248 11031110310 14708147080 22062220620 44124441240