Search a number
-
+
413122142441070 = 23452719187579013
BaseRepresentation
bin101110111101110110111111…
…0100011001000111001101110
32000011202002110102022112120000
41131323231332203020321232
5413122043121431103240
64022345405304005130
7153006042545216226
oct13573557643107156
92004662412275500
10413122142441070
1110a6a7131377167
123a401a097607a6
131496933521b02a
14740330b34d086
1532b63c58b8430
hex177bb7e8c8e6e

413122142441070 has 80 divisors (see below), whose sum is σ = 1111248091578240. Its totient is φ = 110125386997056.

The previous prime is 413122142441069. The next prime is 413122142441131. The reversal of 413122142441070 is 70144241221314.

413122142441070 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 2 + 2 + 142 + 441 + 0 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91587117 + ... + 95991896.

It is an arithmetic number, because the mean of its divisors is an integer number (13890601144728).

Almost surely, 2413122142441070 is an apocalyptic number.

413122142441070 is an abundant number, since it is smaller than the sum of its proper divisors (698125949137170).

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

413122142441070 is a wasteful number, since it uses less digits than its factorization.

413122142441070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187581751 (or 187581742 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 413122142441070 its reverse (70144241221314), we get a palindrome (483266383662384).

The spelling of 413122142441070 in words is "four hundred thirteen trillion, one hundred twenty-two billion, one hundred forty-two million, four hundred forty-one thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2719 5438 8157 13595 16314 24471 27190 40785 48942 73413 81570 122355 146826 220239 244710 367065 440478 734130 1101195 2202390 187579013 375158026 562737039 937895065 1125474078 1688211117 1875790130 2813685195 3376422234 5064633351 5627370390 8441055585 10129266702 15193900053 16882111170 25323166755 30387800106 50646333510 75969500265 151939000530 510027336347 1020054672694 1530082009041 2550136681735 3060164018082 4590246027123 5100273363470 7650410045205 9180492054246 13770738081369 15300820090410 22951230135615 27541476162738 41312214244107 45902460271230 68853690406845 82624428488214 137707380813690 206561071220535 413122142441070