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4407447044 = 227111310310687
BaseRepresentation
bin1000001101011010…
…00100111000000100
3102101011101111201102
410012231010320010
533011301301134
62005202515232
7214135452560
oct40655047004
912334344642
104407447044
111961986220
12a30065b18
1355316c840
142db4d66a0
151abe0a37e
hex106b44e04

4407447044 has 96 divisors (see below), whose sum is σ = 10457481216. Its totient is φ = 1569559680.

The previous prime is 4407447029. The next prime is 4407447061.

4407447044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4407446989 and 4407447007.

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, 407069 + ... + 417755.

It is an arithmetic number, because the mean of its divisors is an integer number (108932096).

Almost surely, 24407447044 is an apocalyptic number.

4407447044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4407447044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228740608).

4407447044 is an abundant number, since it is smaller than the sum of its proper divisors (6050034172).

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

4407447044 is a wasteful number, since it uses less digits than its factorization.

4407447044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10825 (or 10823 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 38.

The square root of 4407447044 is about 66388.6062814998. The cubic root of 4407447044 is about 1639.5664930937.

The spelling of 4407447044 in words is "four billion, four hundred seven million, four hundred forty-seven thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 103 143 154 182 206 286 308 364 412 572 721 1001 1133 1339 1442 2002 2266 2678 2884 4004 4532 5356 7931 9373 10687 14729 15862 18746 21374 29458 31724 37492 42748 58916 74809 103103 117557 138931 149618 206206 235114 277862 299236 412412 470228 555724 822899 972517 1100761 1528241 1645798 1945034 2201522 3056482 3291596 3890068 4403044 6112964 7705327 10697687 12108371 14309893 15410654 21395374 24216742 28619786 30821308 42790748 48433484 57239572 84758597 100169251 157408823 169517194 200338502 314817646 339034388 400677004 629635292 1101861761 2203723522 4407447044