Search a number
-
+
4440332442 = 23713172292089
BaseRepresentation
bin1000010001010101…
…00001100010011010
3102110110021021000010
410020222201202122
533043211114232
62012335422350
7215015126430
oct41052414232
912413237003
104440332442
1119794a7537
12a3b0849b6
13559c14c60
14301a16d50
151aec540cc
hex108aa189a

4440332442 has 128 divisors (see below), whose sum is σ = 11629094400. Its totient is φ = 1096851456.

The previous prime is 4440332411. The next prime is 4440332443. The reversal of 4440332442 is 2442330444.

It is not an unprimeable number, because it can be changed into a prime (4440332443) 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, 2124534 + ... + 2126622.

It is an arithmetic number, because the mean of its divisors is an integer number (90852300).

Almost surely, 24440332442 is an apocalyptic number.

4440332442 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 4440332442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814547200).

4440332442 is an abundant number, since it is smaller than the sum of its proper divisors (7188761958).

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

4440332442 is a wasteful number, since it uses less digits than its factorization.

4440332442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360.

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 4440332442 is about 66635.8195117311. The cubic root of 4440332442 is about 1643.6341729273.

Adding to 4440332442 its reverse (2442330444), we get a palindrome (6882662886).

The spelling of 4440332442 in words is "four billion, four hundred forty million, three hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 229 238 273 357 442 458 546 663 687 714 1326 1374 1547 1603 2089 2977 3094 3206 3893 4178 4641 4809 5954 6267 7786 8931 9282 9618 11679 12534 14623 17862 20839 23358 27157 27251 29246 35513 41678 43869 50609 54314 54502 62517 71026 81471 81753 87738 101218 106539 125034 151827 162942 163506 190099 213078 248591 303654 354263 380198 461669 478381 497182 570297 708526 745773 923338 956762 1062789 1140594 1385007 1435143 1491546 2125578 2770014 2870286 3231683 3348667 6218953 6463366 6697334 8132477 9695049 10046001 12437906 16264954 18656859 19390098 20092002 24397431 37313718 43532671 48794862 56927339 87065342 105722201 113854678 130598013 170782017 211444402 261196026 317166603 341564034 634333206 740055407 1480110814 2220166221 4440332442