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444024422244 = 2233132631202497
BaseRepresentation
bin1100111011000011110…
…10101111111101100100
31120110002211021201222000
412131201322233331210
524233330223002434
6535552040205300
744036224213164
oct6354172577544
91513084251860
10444024422244
11161345235437
127207aa69830
1332b433b3530
14176c30405a4
15b83b87bb99
hex6761eaff64

444024422244 has 96 divisors (see below), whose sum is σ = 1244441130240. Its totient is φ = 136103307264.

The previous prime is 444024422197. The next prime is 444024422293. The reversal of 444024422244 is 442224420444.

444024422244 is a `hidden beast` number, since 4 + 4 + 402 + 4 + 4 + 2 + 2 + 244 = 666.

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 = 444024422199 and 444024422208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231997 + ... + 970500.

It is an arithmetic number, because the mean of its divisors is an integer number (12962928440).

Almost surely, 2444024422244 is an apocalyptic number.

It is an amenable number.

444024422244 is an abundant number, since it is smaller than the sum of its proper divisors (800416707996).

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

444024422244 is a wasteful number, since it uses less digits than its factorization.

444024422244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202786 (or 1202778 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 444024422244 its reverse (442224420444), we get a palindrome (886248842688).

The spelling of 444024422244 in words is "four hundred forty-four billion, twenty-four million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 263 351 468 526 702 789 1052 1404 1578 2367 3156 3419 4734 6838 7101 9468 10257 13676 14202 20514 28404 30771 41028 61542 92313 123084 184626 369252 1202497 2404994 3607491 4809988 7214982 10822473 14429964 15632461 21644946 31264922 32467419 43289892 46897383 62529844 64934838 93794766 129869676 140692149 187589532 281384298 316256711 422076447 562768596 632513422 844152894 948770133 1265026844 1688305788 1897540266 2846310399 3795080532 4111337243 5692620798 8222674486 8538931197 11385241596 12334011729 16445348972 17077862394 24668023458 34155724788 37002035187 49336046916 74004070374 111006105561 148008140748 222012211122 444024422244