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444022101001404 = 223320320920231957
BaseRepresentation
bin110010011110101011111001…
…1100110100100010010111100
32011020011002122122211000202000
41210331113303212210102330
5431144324230324021104
64212204534234302300
7162345352406303562
oct14475276346442274
92136132578730660
10444022101001404
1111952a796423852
124197255b287990
131609b148667463
147b90ada3b5a32
153650079235639
hex193d5f39a44bc

444022101001404 has 48 divisors (see below), whose sum is σ = 1151174131850400. Its totient is φ = 148006631334528.

The previous prime is 444022101001403. The next prime is 444022101001463. The reversal of 444022101001404 is 404100101220444.

It is a happy number.

444022101001404 is a `hidden beast` number, since 4 + 4 + 40 + 2 + 210 + 1 + 0 + 0 + 1 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444022101001403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11830594 + ... + 32062550.

It is an arithmetic number, because the mean of its divisors is an integer number (23982794413550).

Almost surely, 2444022101001404 is an apocalyptic number.

It is an amenable number.

444022101001404 is an abundant number, since it is smaller than the sum of its proper divisors (707152030848996).

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

444022101001404 is a wasteful number, since it uses less digits than its factorization.

444022101001404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20435179 (or 20435171 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 444022101001404 its reverse (404100101220444), we get a palindrome (848122202221848).

The spelling of 444022101001404 in words is "four hundred forty-four trillion, twenty-two billion, one hundred one million, one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 203209 406418 609627 812836 1219254 1828881 2438508 3657762 5486643 7315524 10973286 20231957 21946572 40463914 60695871 80927828 121391742 182087613 242783484 364175226 546262839 728350452 1092525678 2185051356 4111315750013 8222631500026 12333947250039 16445263000052 24667894500078 37001841750117 49335789000156 74003683500234 111005525250351 148007367000468 222011050500702 444022101001404