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20444214331324 = 22719887160127061
BaseRepresentation
bin1001010011000000010100…
…01000100000011110111100
32200101110002110002121220101
410221200022020200132330
510134424222332100244
6111251535320530444
74210021455363640
oct451401210403674
980343073077811
1020444214331324
116572385012a23
122362286020a24
13b53b5bb2a4b4
145097105b4c20
15256c032270d4
hex12980a2207bc

20444214331324 has 96 divisors (see below), whose sum is σ = 43117481917440. Its totient is φ = 8285815296000.

The previous prime is 20444214331319. The next prime is 20444214331337. The reversal of 20444214331324 is 42313341244402.

It is a super-2 number, since 2×204442143313242 (a number of 27 digits) contains 22 as substring.

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, 755472754 + ... + 755499814.

It is an arithmetic number, because the mean of its divisors is an integer number (449140436640).

Almost surely, 220444214331324 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 20444214331324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21558740958720).

20444214331324 is an abundant number, since it is smaller than the sum of its proper divisors (22673267586116).

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

20444214331324 is a wasteful number, since it uses less digits than its factorization.

20444214331324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29579 (or 29577 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 20444214331324 its reverse (42313341244402), we get a palindrome (62757555575726).

The spelling of 20444214331324 in words is "twenty trillion, four hundred forty-four billion, two hundred fourteen million, three hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 887 1601 1774 3202 3548 6209 6404 11207 12418 16853 22414 24836 27061 30419 33706 44828 54122 60838 67412 108244 117971 121676 189427 212933 235942 378854 425866 471884 514159 757708 851732 1028318 1420087 2056636 2840174 3599113 5680348 7198226 9940609 14396452 19881218 24003107 26981653 39762436 43324661 48006214 53963306 86649322 96012428 107926612 168021749 173298644 188871571 303272627 336043498 377743142 456059033 606545254 672086996 755486284 823168559 912118066 1213090508 1646337118 1824236132 3192413231 3292674236 5762179913 6384826462 11524359826 12769652924 23048719652 38428974307 76857948614 153715897228 269002820149 538005640298 730150511833 1076011280596 1460301023666 2920602047332 5111053582831 10222107165662 20444214331324