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404022413225344 = 2719243203338601
BaseRepresentation
bin101101111011101001100110…
…0011010111110110110000000
31221222112011110122101122011011
41123313103030122332312000
5410424000400241202334
63551141200114130304
7151046441016130654
oct13367231432766600
91858464418348134
10404022413225344
11107808a414721a1
1239392300880994
13144591c498a6b4
1471aab09572a64
1531a983bb3e564
hex16f74cc6bed80

404022413225344 has 96 divisors (see below), whose sum is σ = 869235922601640. Its totient is φ = 186928361625600.

The previous prime is 404022413225311. The next prime is 404022413225357. The reversal of 404022413225344 is 443522314220404.

It is a super-2 number, since 2×4040224132253442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404022413225297 and 404022413225306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99682357 + ... + 103656244.

Almost surely, 2404022413225344 is an apocalyptic number.

It is an amenable number.

404022413225344 is an abundant number, since it is smaller than the sum of its proper divisors (465213509376296).

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

404022413225344 is a wasteful number, since it uses less digits than its factorization.

404022413225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203338696 (or 203338665 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 404022413225344 its reverse (443522314220404), we get a palindrome (847544727445748).

The spelling of 404022413225344 in words is "four hundred four trillion, twenty-two billion, four hundred thirteen million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 304 344 361 608 688 722 817 1216 1376 1444 1634 2432 2752 2888 3268 5504 5776 6536 11552 13072 15523 23104 26144 31046 46208 52288 62092 104576 124184 248368 496736 993472 1986944 203338601 406677202 813354404 1626708808 3253417616 3863433419 6506835232 7726866838 8743559843 13013670464 15453733676 17487119686 26027340928 30907467352 34974239372 61814934704 69948478744 73405234961 123629869408 139896957488 146810469922 166127637017 247259738816 279793914976 293620939844 332255274034 494519477632 559587829952 587241879688 664510548068 1119175659904 1174483759376 1329021096136 2348967518752 2658042192272 3156425103323 4697935037504 5316084384544 6312850206646 9395870075008 10632168769088 12625700413292 21264337538176 25251400826584 50502801653168 101005603306336 202011206612672 404022413225344