Search a number
-
+
243812218342 = 27311191700533
BaseRepresentation
bin1110001100010001010…
…1110011010111100110
3212022022200200222102211
43203010111303113212
512443311411441332
6304001125554034
723420615443000
oct3430425632746
9768280628384
10243812218342
1194444706310
123b30427591a
1319cb7126324
14bb2cac1370
15651e98c447
hex38c45735e6

243812218342 has 64 divisors (see below), whose sum is σ = 489753792000. Its totient is φ = 89992153440.

The previous prime is 243812218291. The next prime is 243812218343.

243812218342 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 243812218295 and 243812218304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243812218343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706893 + ... + 993640.

It is an arithmetic number, because the mean of its divisors is an integer number (7652403000).

Almost surely, 2243812218342 is an apocalyptic number.

243812218342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

243812218342 is an abundant number, since it is smaller than the sum of its proper divisors (245941573658).

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

243812218342 is a wasteful number, since it uses less digits than its factorization.

243812218342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700586 (or 1700572 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 243812218342 in words is "two hundred forty-three billion, eight hundred twelve million, two hundred eighteen thousand, three hundred forty-two".

Divisors: 1 2 7 11 14 19 22 38 49 77 98 133 154 209 266 343 418 539 686 931 1078 1463 1862 2926 3773 6517 7546 10241 13034 20482 71687 143374 1700533 3401066 11903731 18705863 23807462 32310127 37411726 64620254 83326117 130941041 166652234 226170889 261882082 355411397 452341778 583282819 710822794 916587287 1166565638 1583196223 1833174574 2487879779 3166392446 4975759558 6416111009 11082373561 12832222018 17415158453 22164747122 34830316906 121906109171 243812218342