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44242000040 = 2357228180329
BaseRepresentation
bin101001001101000001…
…110101100010101000
311020012022010110121002
4221031001311202220
51211101423000130
632154031334132
73124233536600
oct511501654250
9136168113532
1044242000040
11178435014a7
1286a8681348
134230b75264
1421d9b17c00
15123e110b45
hexa4d0758a8

44242000040 has 96 divisors (see below), whose sum is σ = 116210197800. Its totient is φ = 15114516480.

The previous prime is 44242000007. The next prime is 44242000057. The reversal of 44242000040 is 4000024244.

It can be written as a sum of positive squares in 4 ways, for example, as 42590227876 + 1651772164 = 206374^2 + 40642^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44241999976 and 44242000021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510596 + ... + 590924.

Almost surely, 244242000040 is an apocalyptic number.

44242000040 is a gapful number since it is divisible by the number (40) 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 44242000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58105098900).

44242000040 is an abundant number, since it is smaller than the sum of its proper divisors (71968197760).

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

44242000040 is a wasteful number, since it uses less digits than its factorization.

44242000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80635 (or 80624 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 44242000040 its reverse (4000024244), we get a palindrome (48242024284).

The spelling of 44242000040 in words is "forty-four billion, two hundred forty-two million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 281 392 490 562 980 1124 1405 1960 1967 2248 2810 3934 5620 7868 9835 11240 13769 15736 19670 27538 39340 55076 68845 78680 80329 110152 137690 160658 275380 321316 401645 550760 562303 642632 803290 1124606 1606580 2249212 2811515 3213160 3936121 4498424 5623030 7872242 11246060 15744484 19680605 22492120 22572449 31488968 39361210 45144898 78722420 90289796 112862245 157444840 158007143 180579592 225724490 316014286 451448980 632028572 790035715 902897960 1106050001 1264057144 1580071430 2212100002 3160142860 4424200004 5530250005 6320285720 8848400008 11060500010 22121000020 44242000040