Search a number
-
+
41302401444 = 22337119927067
BaseRepresentation
bin100110011101110100…
…001010000110100100
310221121102202101102000
4212131310022012210
51134041403321234
630550221445300
72661340422363
oct463564120644
9127542671360
1041302401444
1116575146577
128008110830
133b82b4b5c5
141ddb5557da
15111aeed899
hex99dd0a1a4

41302401444 has 96 divisors (see below), whose sum is σ = 109138176000. Its totient is φ = 13504851360.

The previous prime is 41302401443. The next prime is 41302401473. The reversal of 41302401444 is 44410420314.

41302401444 is a `hidden beast` number, since 413 + 0 + 240 + 1 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41302401443) 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, 1512399 + ... + 1539465.

It is an arithmetic number, because the mean of its divisors is an integer number (1136856000).

Almost surely, 241302401444 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 41302401444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54569088000).

41302401444 is an abundant number, since it is smaller than the sum of its proper divisors (67835774556).

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

41302401444 is a wasteful number, since it uses less digits than its factorization.

41302401444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27350 (or 27342 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41302401444 its reverse (44410420314), we get a palindrome (85712821758).

The spelling of 41302401444 in words is "forty-one billion, three hundred two million, four hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 199 213 284 398 426 597 639 796 852 1194 1278 1791 1917 2388 2556 3582 3834 5373 7164 7668 10746 14129 21492 27067 28258 42387 54134 56516 81201 84774 108268 127161 162402 169548 243603 254322 324804 381483 487206 508644 730809 762966 974412 1461618 1525932 1921757 2923236 3843514 5386333 5765271 7687028 10772666 11530542 16158999 17295813 21545332 23061084 32317998 34591626 48476997 51887439 64635996 69183252 96953994 103774878 145430991 193907988 207549756 290861982 382429643 581723964 764859286 1147288929 1529718572 2294577858 3441866787 4589155716 6883733574 10325600361 13767467148 20651200722 41302401444