Search a number
-
+
440023225331052 = 22321129182321018211
BaseRepresentation
bin110010000001100101110010…
…0000010011110110101101100
32010200222210212010202012010200
41210003023210002132311230
5430133320031141043202
64155503513514433500
7161453425503034446
oct14403134402366554
92120883763665120
10440023225331052
11118228890354740
1241427547a32890
1315b6b02078a74c
147a93348509496
1535d1031d19e1c
hex19032e409ed6c

440023225331052 has 144 divisors (see below), whose sum is σ = 1255927284218880. Its totient is φ = 128671800163200.

The previous prime is 440023225331051. The next prime is 440023225331071. The reversal of 440023225331052 is 250133522320044.

440023225331052 is a `hidden beast` number, since 4 + 40 + 0 + 2 + 3 + 2 + 253 + 310 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 440023225330998 and 440023225331016.

It is not an unprimeable number, because it can be changed into a prime (440023225331051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10426227 + ... + 31444437.

It is an arithmetic number, because the mean of its divisors is an integer number (8721717251520).

Almost surely, 2440023225331052 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 440023225331052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627963642109440).

440023225331052 is an abundant number, since it is smaller than the sum of its proper divisors (815904058887828).

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

440023225331052 is a wasteful number, since it uses less digits than its factorization.

440023225331052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21020084 (or 21020079 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 440023225331052 its reverse (250133522320044), we get a palindrome (690156747651096).

The spelling of 440023225331052 in words is "four hundred forty trillion, twenty-three billion, two hundred twenty-five million, three hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1823 1914 2871 3646 3828 5469 5742 7292 10938 11484 16407 20053 21876 32814 40106 52867 60159 65628 80212 105734 120318 158601 180477 211468 240636 317202 360954 475803 581537 634404 721908 951606 1163074 1744611 1903212 2326148 3489222 5233833 6978444 10467666 20935332 21018211 42036422 63054633 84072844 126109266 189163899 231200321 252218532 378327798 462400642 609528119 693600963 756655596 924801284 1219056238 1387201926 1828584357 2080802889 2438112476 2774403852 3657168714 4161605778 5485753071 6704809309 7314337428 8323211556 10971506142 13409618618 20114427927 21943012284 26819237236 38316198653 40228855854 60343283781 76632397306 80457711708 114948595959 120686567562 153264794612 229897191918 241373135124 344845787877 421478185183 459794383836 689691575754 842956370366 1111169760937 1264434555549 1379383151508 1685912740732 2222339521874 2528869111098 3333509282811 3793303666647 4444679043748 5057738222196 6667018565622 7586607333294 10000527848433 12222867370307 13334037131244 15173214666588 20001055696866 24445734740614 36668602110921 40002111393732 48891469481228 73337204221842 110005806332763 146674408443684 220011612665526 440023225331052