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404313001140444 = 2231112108972529511
BaseRepresentation
bin101101111101110000111010…
…0110011111010000011011100
31222000112221112012211012200020
41123323201310303322003130
5410443231011242443234
63551522454545432140
7151106436035505504
oct13373416463720334
91860487465735606
10404313001140444
111079101a97a8830
123941a69a03b650
131447a724855ba6
1471babd4670a04
1531b2197d72549
hex16fb874cfa0dc

404313001140444 has 48 divisors (see below), whose sum is σ = 1029161623316736. Its totient is φ = 122518941638400.

The previous prime is 404313001140403. The next prime is 404313001140467. The reversal of 404313001140444 is 444041100313404.

It is a super-2 number, since 2×4043130011404442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158573649 + ... + 161103159.

It is an arithmetic number, because the mean of its divisors is an integer number (21440867152432).

Almost surely, 2404313001140444 is an apocalyptic number.

404313001140444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404313001140444 is an abundant number, since it is smaller than the sum of its proper divisors (624848622176292).

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

404313001140444 is a wasteful number, since it uses less digits than its factorization.

404313001140444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740426 (or 3740424 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 404313001140444 its reverse (444041100313404), we get a palindrome (848354101453848).

The spelling of 404313001140444 in words is "four hundred four trillion, three hundred thirteen billion, one million, one hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1210897 2421794 2529511 3632691 4843588 5059022 7265382 7588533 10118044 13319867 14530764 15177066 26639734 27824621 30354132 39959601 53279468 55649242 79919202 83473863 111298484 159838404 166947726 333895452 3062977281367 6125954562734 9188931844101 12251909125468 18377863688202 33692750095037 36755727376404 67385500190074 101078250285111 134771000380148 202156500570222 404313001140444