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44300014242 = 231129121319081
BaseRepresentation
bin101001010000011111…
…001001001010100010
311020100100021220010020
4221100133021022202
51211211300423432
632203503014310
73125536623321
oct512037111242
9136310256106
1044300014242
1117873226420
128703b9a396
13423cba83a3
1422036da0b8
15124427022c
hexa507c92a2

44300014242 has 64 divisors (see below), whose sum is σ = 100075167360. Its totient is φ = 12949977600.

The previous prime is 44300014237. The next prime is 44300014249. The reversal of 44300014242 is 24241000344.

It is a happy number.

It is a super-3 number, since 3×443000142423 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (44300014249) 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, 2312142 + ... + 2331222.

It is an arithmetic number, because the mean of its divisors is an integer number (1563674490).

Almost surely, 244300014242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44300014242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50037583680).

44300014242 is an abundant number, since it is smaller than the sum of its proper divisors (55775153118).

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

44300014242 is a wasteful number, since it uses less digits than its factorization.

44300014242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20339.

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

Adding to 44300014242 its reverse (24241000344), we get a palindrome (68541014586).

The spelling of 44300014242 in words is "forty-four billion, three hundred million, fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1213 1914 2426 3639 7278 13343 19081 26686 35177 38162 40029 57243 70354 80058 105531 114486 209891 211062 386947 419782 553349 629673 773894 1106698 1160841 1259346 1660047 2321682 3320094 6086839 12173678 18260517 23145253 36521034 46290506 69435759 138871518 254597783 509195566 671212337 763793349 1342424674 1527586698 2013637011 4027274022 7383335707 14766671414 22150007121 44300014242