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444404400413442 = 23721979556820697
BaseRepresentation
bin110010100001011101111011…
…0011011000101101100000010
32011021111122102202121100210220
41211002323312123011230002
5431222110203001212232
64213100321345403510
7162415105216553100
oct14502736633055402
92137448382540726
10444404400413442
11119667936486457
1241a14672639596
13160c8202ac84c1
147ba540580ac70
153659ea1bba42c
hex1942ef66c5b02

444404400413442 has 48 divisors (see below), whose sum is σ = 1088337307148640. Its totient is φ = 120289912892352.

The previous prime is 444404400413437. The next prime is 444404400413453. The reversal of 444404400413442 is 244314004404444.

It is a super-2 number, since 2×4444044004134422 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 444404400413394 and 444404400413403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39778404763 + ... + 39778415934.

It is an arithmetic number, because the mean of its divisors is an integer number (22673693898930).

Almost surely, 2444404400413442 is an apocalyptic number.

444404400413442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

444404400413442 is an abundant number, since it is smaller than the sum of its proper divisors (643932906735198).

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

444404400413442 is a wasteful number, since it uses less digits than its factorization.

444404400413442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79556820735 (or 79556820728 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 42.

Adding to 444404400413442 its reverse (244314004404444), we get a palindrome (688718404817886).

The spelling of 444404400413442 in words is "four hundred forty-four trillion, four hundred four billion, four hundred million, four hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 79556820697 159113641394 238670462091 477340924182 556897744879 1113795489758 1511579593243 1670693234637 3023159186486 3341386469274 3898284214153 4534738779729 7796568428306 9069477559458 10581057152701 11694852642459 21162114305402 23389705284918 31743171458103 63486342916206 74067400068907 148134800137814 222202200206721 444404400413442