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444040141412412 = 223219649181493293
BaseRepresentation
bin110010011110110100010011…
…0111001010001100000111100
32011020012211012221000212020200
41210331220212321101200330
5431200123202200144122
64212221120323043500
7162346561435255206
oct14475504671214074
92136184187025220
10444040141412412
111195374037a7636
1241975b54b10590
131609ca6207667c
147b9192c321776
153650782e225ac
hex193da26e5183c

444040141412412 has 36 divisors (see below), whose sum is σ = 1181510317795080. Its totient is φ = 140223202551072.

The previous prime is 444040141412407. The next prime is 444040141412419. The reversal of 444040141412412 is 214214141040444.

444040141412412 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 401 + 4 + 1 + 4 + 1 + 241 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444040141412419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324590745963 + ... + 324590747330.

Almost surely, 2444040141412412 is an apocalyptic number.

It is an amenable number.

444040141412412 is an abundant number, since it is smaller than the sum of its proper divisors (737470176382668).

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

444040141412412 is a wasteful number, since it uses less digits than its factorization.

444040141412412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649181493322 (or 649181493317 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 444040141412412 its reverse (214214141040444), we get a palindrome (658254282452856).

The spelling of 444040141412412 in words is "four hundred forty-four trillion, forty billion, one hundred forty-one million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 649181493293 1298362986586 1947544479879 2596725973172 3895088959758 5842633439637 7790177919516 11685266879274 12334448372567 23370533758548 24668896745134 37003345117701 49337793490268 74006690235402 111010035353103 148013380470804 222020070706206 444040141412412