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42147181395 = 325111921631447
BaseRepresentation
bin100111010000001010…
…101111001101010011
311000210022100122122100
4213100022233031103
51142304134301040
631210120211443
73021306062604
oct472012571523
9130708318570
1042147181395
1116968a92220
128203009b83
133c88b7c8b7
14207b819dab
15116a26db30
hex9d02af353

42147181395 has 144 divisors (see below), whose sum is σ = 84686314752. Its totient is φ = 19227404160.

The previous prime is 42147181367. The next prime is 42147181399. The reversal of 42147181395 is 59318174124.

42147181395 is a `hidden beast` number, since 42 + 1 + 47 + 181 + 395 = 666.

42147181395 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42147181395 - 29 = 42147180883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42147181395.

It is not an unprimeable number, because it can be changed into a prime (42147181399) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29126562 + ... + 29128008.

It is an arithmetic number, because the mean of its divisors is an integer number (588099408).

Almost surely, 242147181395 is an apocalyptic number.

42147181395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42147181395 is an abundant number, since it is smaller than the sum of its proper divisors (42539133357).

42147181395 is a wasteful number, since it uses less digits than its factorization.

42147181395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1648 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 42147181395 in words is "forty-two billion, one hundred forty-seven million, one hundred eighty-one thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 163 165 171 209 285 361 489 495 627 815 855 1045 1083 1447 1467 1793 1805 1881 2445 3097 3135 3249 3971 4341 5379 5415 7235 7335 8965 9291 9405 11913 13023 15485 15917 16137 16245 19855 21705 26895 27493 27873 34067 35739 46455 47751 58843 59565 65115 79585 80685 82479 102201 137465 139365 143253 170335 176529 178695 235861 238755 247437 294215 302423 306603 412395 511005 522367 529587 647273 707583 716265 882645 907269 1179305 1237185 1512115 1533015 1567101 1941819 2122749 2594471 2611835 2647935 2721807 3236365 3537915 4481359 4536345 4701303 5746037 5825457 7783413 7835505 9709095 10613745 12972355 13444077 13609035 17238111 22406795 23350239 23506515 28730185 29127285 38917065 40332231 49294949 51714333 67220385 85145821 86190555 116751195 147884847 201661155 246474745 255437463 258571665 425729105 443654541 739424235 766312389 936604031 1277187315 2218272705 2809812093 3831561945 4683020155 8429436279 14049060465 42147181395