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342140554314 = 233134759175759
BaseRepresentation
bin1001111101010010010…
…10101000110001001010
31012201010100210222202000
410332221022220301022
521101200440214224
6421102135251430
733501363504306
oct4765112506112
91181110728660
10342140554314
11122112472499
1256386219b76
13263574cac50
14127b9b14d06
158d7706e0c9
hex4fa92a8c4a

342140554314 has 128 divisors (see below), whose sum is σ = 850397184000. Its totient is φ = 101287226304.

The previous prime is 342140554307. The next prime is 342140554339. The reversal of 342140554314 is 413455041243.

342140554314 is a `hidden beast` number, since 3 + 4 + 214 + 0 + 5 + 5 + 431 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1858767 + ... + 2034525.

It is an arithmetic number, because the mean of its divisors is an integer number (6643728000).

Almost surely, 2342140554314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342140554314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425198592000).

342140554314 is an abundant number, since it is smaller than the sum of its proper divisors (508256629686).

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

342140554314 is a wasteful number, since it uses less digits than its factorization.

342140554314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175889 (or 175883 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 342140554314 its reverse (413455041243), we get a palindrome (755595595557).

The spelling of 342140554314 in words is "three hundred forty-two billion, one hundred forty million, five hundred fifty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 59 78 94 117 118 141 177 234 282 351 354 423 531 611 702 767 846 1062 1222 1269 1534 1593 1833 2301 2538 2773 3186 3666 4602 5499 5546 6903 8319 10998 13806 16497 16638 20709 24957 32994 36049 41418 49914 72098 74871 108147 149742 175759 216294 324441 351518 527277 648882 973323 1054554 1581831 1946646 2284867 3163662 4569734 4745493 6854601 8260673 9490986 10369781 13709202 16521346 20563803 20739562 24782019 31109343 41127606 49564038 61691409 62218686 74346057 93328029 107388749 123382818 134807153 148692114 186656058 214777498 223038171 269614306 279984087 322166247 404421459 446076342 487379707 559968174 644332494 808842918 966498741 974759414 1213264377 1462139121 1932997482 2426528754 2899496223 2924278242 3639793131 4386417363 5798992446 6335936191 7279586262 8772834726 12671872382 13159252089 19007808573 26318504178 38015617146 57023425719 114046851438 171070277157 342140554314