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1012244433444 = 223324877376759
BaseRepresentation
bin11101011101011100111…
…10000100101000100100
310120202210001111002111000
432232232132010220210
5113041034033332234
62053004011113300
7133063234501506
oct16565636045044
93522701432430
101012244433444
11360321658a82
1214421a742830
13745b9c7412a
1436dc86d1d76
151b4e66bb899
hexebae784a24

1012244433444 has 48 divisors (see below), whose sum is σ = 2624449878400. Its totient is φ = 337400352288.

The previous prime is 1012244433439. The next prime is 1012244433479. The reversal of 1012244433444 is 4443344422101.

1012244433444 is a `hidden beast` number, since 10 + 122 + 44 + 43 + 3 + 444 = 666.

1012244433444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10122444334442 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012244433399 and 1012244433408.

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, 2498337 + ... + 2875095.

Almost surely, 21012244433444 is an apocalyptic number.

It is an amenable number.

1012244433444 is an abundant number, since it is smaller than the sum of its proper divisors (1612205444956).

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

1012244433444 is a wasteful number, since it uses less digits than its factorization.

1012244433444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401649 (or 401641 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1012244433444 its reverse (4443344422101), we get a palindrome (5455588855545).

The spelling of 1012244433444 in words is "one trillion, twelve billion, two hundred forty-four million, four hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 24877 49754 74631 99508 149262 223893 298524 376759 447786 671679 753518 895572 1130277 1343358 1507036 2260554 2686716 3390831 4521108 6781662 10172493 13563324 20344986 40689972 9372633643 18745267286 28117900929 37490534572 56235801858 84353702787 112471603716 168707405574 253061108361 337414811148 506122216722 1012244433444