Search a number
-
+
41320430042144 = 2511229512609543
BaseRepresentation
bin10010110010100101010011…
…00011011111110000100000
312102022012020211000010201012
421121102221203133300200
520403443220042322034
6223514202110400052
711463205530156251
oct1131225143376040
9172265224003635
1041320430042144
11121909945a0310
124774214500028
131a09666199326
14a2bcc30d0b28
154b9c8c507cce
hex2594a98dfc20

41320430042144 has 48 divisors (see below), whose sum is σ = 89132547510720. Its totient is φ = 18699996092160.

The previous prime is 41320430042077. The next prime is 41320430042201. The reversal of 41320430042144 is 44124003402314.

It is a super-2 number, since 2×413204300421442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41320430042144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256224164 + ... + 256385379.

It is an arithmetic number, because the mean of its divisors is an integer number (1856928073140).

Almost surely, 241320430042144 is an apocalyptic number.

41320430042144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41320430042144 is an abundant number, since it is smaller than the sum of its proper divisors (47812117468576).

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

41320430042144 is a wasteful number, since it uses less digits than its factorization.

41320430042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512609793 (or 512609785 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 41320430042144 its reverse (44124003402314), we get a palindrome (85444433444458).

The spelling of 41320430042144 in words is "forty-one trillion, three hundred twenty billion, four hundred thirty million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 229 352 458 916 1832 2519 3664 5038 7328 10076 20152 40304 80608 512609543 1025219086 2050438172 4100876344 5638704973 8201752688 11277409946 16403505376 22554819892 45109639784 90219279568 117387585347 180438559136 234775170694 469550341388 939100682776 1291263438817 1878201365552 2582526877634 3756402731104 5165053755268 10330107510536 20660215021072 41320430042144