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141142253222142 = 23297499547296159
BaseRepresentation
bin100000000101111000111101…
…110111011011100011111110
3200111202001211022012101112100
4200011320331313123203332
5121444433313311102032
61220103504521445530
741505122416341144
oct4005707567334376
9614661738171470
10141142253222142
1140a77103411437
12139b63930408a6
13609a871315763
1426bd4702d5594
15114b6796a597c
hex805e3dddb8fe

141142253222142 has 96 divisors (see below), whose sum is σ = 310147044480000. Its totient is φ = 46383972171264.

The previous prime is 141142253222129. The next prime is 141142253222207. The reversal of 141142253222142 is 241222352241141.

141142253222142 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 42 + 253 + 222 + 142 = 666.

It is a super-2 number, since 2×1411422532221422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141142253222097 and 141142253222106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476427859 + ... + 476724017.

It is an arithmetic number, because the mean of its divisors is an integer number (3230698380000).

Almost surely, 2141142253222142 is an apocalyptic number.

141142253222142 is an abundant number, since it is smaller than the sum of its proper divisors (169004791257858).

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

141142253222142 is a wasteful number, since it uses less digits than its factorization.

141142253222142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297310 (or 297307 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 141142253222142 in words is "one hundred forty-one trillion, one hundred forty-two billion, two hundred fifty-three million, two hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 97 194 291 499 547 582 873 998 1094 1497 1641 1746 2994 3282 4491 4923 8982 9846 48403 53059 96806 106118 145209 159177 272953 290418 296159 318354 435627 477531 545906 592318 818859 871254 888477 955062 1637718 1776954 2456577 2665431 4913154 5330862 26476441 28727423 52952882 57454846 79429323 86182269 147783341 158858646 161998973 172364538 238287969 258546807 295566682 323997946 443350023 476575938 485996919 517093614 886700046 971993838 1330050069 1457990757 2660100138 2915981514 14334984077 15713900381 28669968154 31427800762 43004952231 47141701143 80837487527 86009904462 94283402286 129014856693 141425103429 161674975054 242512462581 258029713386 282850206858 485024925162 727537387743 1455074775486 7841236290119 15682472580238 23523708870357 47047417740714 70571126611071 141142253222142