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44142400302 = 237111337198641
BaseRepresentation
bin101001000111000101…
…111001001100101110
311012221100201021102220
4221013011321030232
51210400423302202
632140112500210
73121614132420
oct510705711456
9135840637386
1044142400302
11177a2263770
12867b24a666
1342163419c0
1421ca7cc810
1512354d9abc
hexa4717932e

44142400302 has 128 divisors (see below), whose sum is σ = 121740530688. Its totient is φ = 10297497600.

The previous prime is 44142400297. The next prime is 44142400303. The reversal of 44142400302 is 20300424144.

It is a happy number.

44142400302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44142400303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122902 + ... + 321542.

It is an arithmetic number, because the mean of its divisors is an integer number (951097896).

Almost surely, 244142400302 is an apocalyptic number.

44142400302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44142400302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60870265344).

44142400302 is an abundant number, since it is smaller than the sum of its proper divisors (77598130386).

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

44142400302 is a wasteful number, since it uses less digits than its factorization.

44142400302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198714.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44142400302 its reverse (20300424144), we get a palindrome (64442824446).

It can be divided in two parts, 44142 and 400302, that added together give a palindrome (444444).

The spelling of 44142400302 in words is "forty-four billion, one hundred forty-two million, four hundred thousand, three hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 198641 222222 397282 595923 1191846 1390487 2185051 2582333 2780974 4171461 4370102 5164666 6555153 7349717 7746999 8342922 13110306 14699434 15295357 15493998 18076331 22049151 28405663 30590714 36152662 44098302 45886071 51448019 54228993 56811326 80846887 85216989 91772142 95546321 102896038 108457986 154344057 161693774 170433978 191092642 198839641 242540661 286638963 308688114 397679282 485081322 565928209 573277926 596518923 668824247 1051009531 1131856418 1193037846 1337648494 1697784627 2006472741 2102019062 3153028593 3395569254 4012945482 6306057186 7357066717 14714133434 22071200151 44142400302