Search a number
-
+
42411220113141 = 32111989253338949
BaseRepresentation
bin10011010010010101000011…
…01101011001011011110101
312120011110202211222000222100
421221022201231121123311
521024331134322110031
6230111240123252313
711635052366612655
oct1151124155313365
9176143684860870
1042411220113141
1112571552106330
12490b6b397a099
131a8848cb71869
14a689dd338365
154d832e660de6
hex2692a1b596f5

42411220113141 has 48 divisors (see below), whose sum is σ = 71137577160000. Its totient is φ = 24077333617920.

The previous prime is 42411220113109. The next prime is 42411220113151. The reversal of 42411220113141 is 14131102211424.

42411220113141 is a `hidden beast` number, since 4 + 2 + 411 + 2 + 201 + 1 + 3 + 1 + 41 = 666.

It is not a de Polignac number, because 42411220113141 - 25 = 42411220113109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42411220113151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126502066 + ... + 126836883.

It is an arithmetic number, because the mean of its divisors is an integer number (1482032857500).

Almost surely, 242411220113141 is an apocalyptic number.

It is an amenable number.

42411220113141 is a deficient number, since it is larger than the sum of its proper divisors (28726357046859).

42411220113141 is a wasteful number, since it uses less digits than its factorization.

42411220113141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253339074 (or 253339071 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 42411220113141 its reverse (14131102211424), we get a palindrome (56542322324565).

The spelling of 42411220113141 in words is "forty-two trillion, four hundred eleven billion, two hundred twenty million, one hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 11 19 33 57 89 99 171 209 267 627 801 979 1691 1881 2937 5073 8811 15219 18601 55803 167409 253338949 760016847 2280050541 2786728439 4813440031 8360185317 14440320093 22547166461 25080555951 43320960279 52947840341 67641499383 158843521023 202924498149 248018831071 428396162759 476530563069 744056493213 1285188488277 2232169479639 3855565464831 4712357790349 14137073371047 42411220113141