Search a number
-
+
4544344002 = 2311223318779
BaseRepresentation
bin1000011101101110…
…10010111111000010
3102201200222121001010
410032313102333002
533301323002002
62030533021350
7220420200222
oct41667227702
912650877033
104544344002
111a22188a00
12a69a84856
13575631663
14311770082
151b8e4c46c
hex10edd2fc2

4544344002 has 96 divisors (see below), whose sum is σ = 10761891840. Its totient is φ = 1274565600.

The previous prime is 4544343989. The next prime is 4544344043. The reversal of 4544344002 is 2004434454.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513249 + ... + 522027.

It is an arithmetic number, because the mean of its divisors is an integer number (112103040).

Almost surely, 24544344002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4544344002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380945920).

4544344002 is an abundant number, since it is smaller than the sum of its proper divisors (6217547838).

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

4544344002 is a wasteful number, since it uses less digits than its factorization.

4544344002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 4544344002 is about 67411.7497325207. The cubic root of 4544344002 is about 1656.3688959441.

Adding to 4544344002 its reverse (2004434454), we get a palindrome (6548778456).

The spelling of 4544344002 in words is "four billion, five hundred forty-four million, three hundred forty-four thousand, two".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 121 138 186 242 253 341 363 506 682 713 726 759 1023 1426 1518 2046 2139 2783 3751 4278 5566 7502 7843 8349 8779 11253 15686 16698 17558 22506 23529 26337 47058 52674 86273 96569 172546 193138 201917 258819 272149 289707 403834 517638 544298 579414 605751 816447 1062259 1211502 1632894 2124518 2221087 2993639 3186777 4442174 5987278 6259427 6373554 6663261 8980917 12518854 13326522 17961834 18778281 24431957 32930029 37556562 48863914 65860058 68853697 73295871 98790087 137707394 146591742 197580174 206561091 413122182 757390667 1514781334 2272172001 4544344002