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342341141143243 = 112411012712521153
BaseRepresentation
bin100110111010110111000001…
…0000111000001111011001011
31122220010111022201222002121211
41031311232002013001323023
5324332404124113040433
63212033203224113551
7132052221421110334
oct11565560207017313
91586114281862554
10342341141143243
119a0980763a6500
123249000b6058b7
131190382866c788
14607758487d28b
15298a12a9b08cd
hex1375b821c1ecb

342341141143243 has 48 divisors (see below), whose sum is σ = 390723364273536. Its totient is φ = 299512857600000.

The previous prime is 342341141143241. The next prime is 342341141143259.

342341141143243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342341141143243 - 21 = 342341141143241 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342341141143196 and 342341141143205.

It is not an unprimeable number, because it can be changed into a prime (342341141143241) 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, 134526955 + ... + 137048107.

It is an arithmetic number, because the mean of its divisors is an integer number (8140070089032).

Almost surely, 2342341141143243 is an apocalyptic number.

342341141143243 is a deficient number, since it is larger than the sum of its proper divisors (48382223130293).

342341141143243 is a wasteful number, since it uses less digits than its factorization.

342341141143243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521588 (or 2521577 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 342341141143243 in words is "three hundred forty-two trillion, three hundred forty-one billion, one hundred forty-one million, one hundred forty-three thousand, two hundred forty-three".

Divisors: 1 11 41 101 121 271 451 1111 2981 4141 4961 11111 12221 27371 32791 45551 122221 301081 501061 1122211 1344431 2521153 3311891 12344321 27732683 103367273 135787531 254636453 305059513 683232463 1137040003 2801000983 7515557093 10440094573 12507440033 28012530983 30811010813 69006478763 82671128023 114841040303 308137840813 759071266393 1263251443333 2829265629283 3389516248943 8349783930323 31121921922113 342341141143243