Search a number
-
+
342463967761188 = 223713192868730449
BaseRepresentation
bin100110111011110000001101…
…1001001011001001100100100
31122220120020100201220202222210
41031313200123021121030210
5324341412201221324223
63212205435212523420
7132064130242122360
oct11567403311311444
91586506321822883
10342463967761188
119a135175869509
12324ab989a80570
13119122a1343830
14607d4b73782a0
15298d418bac893
hex137781b259324

342463967761188 has 144 divisors (see below), whose sum is σ = 1037973041347200. Its totient is φ = 85566474206208.

The previous prime is 342463967761187. The next prime is 342463967761199. The reversal of 342463967761188 is 881167769364243.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (342463967761187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433971013 + ... + 434759436.

Almost surely, 2342463967761188 is an apocalyptic number.

342463967761188 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

342463967761188 is an abundant number, since it is smaller than the sum of its proper divisors (695509073586012).

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

342463967761188 is a wasteful number, since it uses less digits than its factorization.

342463967761188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868730514 (or 868730493 counting only the distinct ones).

The product of its digits is 1755758592, while the sum is 75.

The spelling of 342463967761188 in words is "three hundred forty-two trillion, four hundred sixty-three billion, nine hundred sixty-seven million, seven hundred sixty-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 361 364 399 494 532 546 722 741 798 988 1083 1092 1444 1482 1596 1729 2166 2527 2964 3458 4332 4693 5054 5187 6916 7581 9386 10108 10374 14079 15162 18772 20748 28158 30324 32851 56316 65702 98553 131404 197106 394212 868730449 1737460898 2606191347 3474921796 5212382694 6081113143 10424765388 11293495837 12162226286 16505878531 18243339429 22586991674 24324452572 33011757062 33880487511 36486678858 45173983348 49517635593 66023514124 67760975022 72973357716 79054470859 99035271186 115541149717 135521950044 158108941718 198070542372 214576420903 231082299434 237163412577 313611692089 316217883436 346623449151 429152841806 462164598868 474326825154 627223384178 643729262709 693246898302 858305683612 940835076267 948653650308 1254446768356 1287458525418 1386493796604 1502034946321 1881670152534 2195281844623 2574917050836 3004069892642 3763340305068 4076951997157 4390563689246 4506104838963 6008139785284 6585845533869 8153903994314 8781127378492 9012209677926 12230855991471 13171691067738 16307807988628 18024419355852 24461711982942 26343382135476 28538663980099 48923423965884 57077327960198 85615991940297 114154655920396 171231983880594 342463967761188