Search a number
-
+
4161156545442 = 23131312351173219
BaseRepresentation
bin111100100011011000010…
…000011111101110100010
3112201210200011011110000110
4330203120100133232202
51021134022033423232
612503335310032150
7606430224020661
oct74433020375642
915653604143013
104161156545442
111364811430506
12572562aa8656
1324251a853770
141055886b0dd8
157339424cacc
hex3c8d841fba2

4161156545442 has 64 divisors (see below), whose sum is σ = 9034800445440. Its totient is φ = 1270034376000.

The previous prime is 4161156545341. The next prime is 4161156545443. The reversal of 4161156545442 is 2445456511614.

4161156545442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 4161156545391 and 4161156545400.

It is not an unprimeable number, because it can be changed into a prime (4161156545443) 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, 23935909 + ... + 24109127.

It is an arithmetic number, because the mean of its divisors is an integer number (141168756960).

Almost surely, 24161156545442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161156545442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517400222720).

4161156545442 is an abundant number, since it is smaller than the sum of its proper divisors (4873643899998).

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

4161156545442 is a wasteful number, since it uses less digits than its factorization.

4161156545442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175719.

The product of its digits is 2304000, while the sum is 48.

The spelling of 4161156545442 in words is "four trillion, one hundred sixty-one billion, one hundred fifty-six million, five hundred forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 2351 3406 4702 5109 7053 10218 14106 30563 61126 91689 173219 183378 307981 346438 519657 615962 923943 1039314 1847886 2251847 4003753 4503694 6755541 8007506 12011259 13511082 22691689 24022518 45383378 68075067 136150134 294991957 407237869 589983914 814475738 884975871 1221713607 1769951742 2443427214 5294092297 10588184594 15882276891 31764553782 53348160839 106696321678 160044482517 320088965034 693526090907 1387052181814 2080578272721 4161156545442