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34541440444 = 227325797961
BaseRepresentation
bin100000001010110101…
…001000110110111100
310022011020210222111001
4200022311020312330
51031220102043234
623511302540044
72331653254000
oct401265106674
9108136728431
1034541440444
11137158194a5
12683ba37624
13334621ac74
141959660700
15d726a0d14
hex80ad48dbc

34541440444 has 48 divisors (see below), whose sum is σ = 70767748800. Its totient is φ = 14745722880.

The previous prime is 34541440387. The next prime is 34541440447. The reversal of 34541440444 is 44404414543.

It is a super-2 number, since 2×345414404442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34541440447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303624 + ... + 401584.

It is an arithmetic number, because the mean of its divisors is an integer number (1474328100).

Almost surely, 234541440444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34541440444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35383874400).

34541440444 is an abundant number, since it is smaller than the sum of its proper divisors (36226308356).

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

34541440444 is a wasteful number, since it uses less digits than its factorization.

34541440444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98243 (or 98227 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 34541440444 its reverse (44404414543), we get a palindrome (78945854987).

The spelling of 34541440444 in words is "thirty-four billion, five hundred forty-one million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 257 343 514 686 1028 1372 1799 3598 7196 12593 25186 50372 88151 97961 176302 195922 352604 391844 685727 1371454 2742908 4800089 9600178 19200356 25175977 33600623 50351954 67201246 100703908 134402492 176231839 352463678 704927356 1233622873 2467245746 4934491492 8635360111 17270720222 34541440444