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4405052241304 = 23112131093320267
BaseRepresentation
bin100000000011010000110…
…0100101111010110011000
3120121010012122221112002021
41000012201210233112120
51034133021333210204
613211353021144224
7633153205152451
oct100064144572630
916533178845067
104405052241304
111449199172700
125b188b0bb074
1325c519056c70
141132c44c2128
15798bb1c9154
hex401a192f598

4405052241304 has 96 divisors (see below), whose sum is σ = 9785923252560. Its totient is φ = 1846576892160.

The previous prime is 4405052241301. The next prime is 4405052241323. The reversal of 4405052241304 is 4031422505044.

It is a super-3 number, since 3×44050522413043 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4405052241304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405052241301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13594179 + ... + 13914445.

Almost surely, 24405052241304 is an apocalyptic number.

4405052241304 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 4405052241304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892961626280).

4405052241304 is an abundant number, since it is smaller than the sum of its proper divisors (5380871011256).

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

4405052241304 is a wasteful number, since it uses less digits than its factorization.

4405052241304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321401 (or 321386 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 4405052241304 its reverse (4031422505044), we get a palindrome (8436474746348).

The spelling of 4405052241304 in words is "four trillion, four hundred five billion, fifty-two million, two hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1093 1144 1573 2186 3146 4372 6292 8744 12023 12584 14209 24046 28418 48092 56836 96184 113672 132253 156299 264506 312598 320267 529012 625196 640534 1058024 1250392 1281068 1719289 2562136 3438578 3522937 4163471 6877156 7045874 8326942 13754312 14091748 16653884 28183496 33307768 38752307 45798181 77504614 91596362 155009228 183192724 310018456 350051831 366385448 503779991 700103662 1007559982 1400207324 2015119964 2800414648 3850570141 4030239928 4550673803 7701140282 9101347606 15402280564 18202695212 30804561128 36405390424 42356271551 50057411833 84712543102 100114823666 169425086204 200229647332 338850172408 400459294664 550631530163 1101263060326 2202526120652 4405052241304