Search a number
-
+
4441266621444 = 22317375571056379
BaseRepresentation
bin100000010100001000000…
…0111101000110000000100
3120201120200111200122101210
41000220100013220300010
51040231203223341234
613240142325051420
7635604504255612
oct100502007506004
916646614618353
104441266621444
111462592251494
125b88b7256b70
13262a6aa38573
14114d5bdc26b2
157a7da685be9
hex40a101e8c04

4441266621444 has 96 divisors (see below), whose sum is σ = 11289338686080. Its totient is φ = 1353245571072.

The previous prime is 4441266621443. The next prime is 4441266621487.

4441266621444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4441266621393 and 4441266621402.

It is not an unprimeable number, because it can be changed into a prime (4441266621443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3676047 + ... + 4732425.

It is an arithmetic number, because the mean of its divisors is an integer number (117597277980).

Almost surely, 24441266621444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441266621444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644669343040).

4441266621444 is an abundant number, since it is smaller than the sum of its proper divisors (6848072064636).

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

4441266621444 is a wasteful number, since it uses less digits than its factorization.

4441266621444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056997 (or 1056995 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 48.

The spelling of 4441266621444 in words is "four trillion, four hundred forty-one billion, two hundred sixty-six million, six hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 557 629 1114 1258 1671 1887 2228 2516 3342 3774 6684 7548 9469 18938 20609 28407 37876 41218 56814 61827 82436 113628 123654 247308 350353 700706 1051059 1056379 1401412 2102118 2112758 3169137 4204236 4225516 6338274 12676548 17958443 35916886 39086023 53875329 71833772 78172046 107750658 117258069 156344092 215501316 234516138 469032276 588403103 664462391 1176806206 1328924782 1765209309 1993387173 2353612412 2657849564 3530418618 3986774346 7060837236 7973548692 10002852751 20005705502 21770914811 30008558253 40011411004 43541829622 60017116506 65312744433 87083659244 120034233012 130625488866 261250977732 370105551787 740211103574 1110316655361 1480422207148 2220633310722 4441266621444