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342244101442243 = 71121371555778779
BaseRepresentation
bin100110111010001001110101…
…0000101111100101011000011
31122212210012211212122112011211
41031310103222011330223003
5324324311404432122433
63211520434130350551
7132042214611213220
oct11564235205745303
91585705755575154
10342244101442243
119a05a9a9a84900
123247524912b457
13118c7632253b60
1460729baa4c947
15298784b5c68cd
hex13744ea17cac3

342244101442243 has 96 divisors (see below), whose sum is σ = 469609289210880. Its totient is φ = 242655650899200.

The previous prime is 342244101442211. The next prime is 342244101442249.

342244101442243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342244101442243 - 25 = 342244101442211 is a prime.

It is a super-2 number, since 2×3422441014422432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342244101442196 and 342244101442205.

It is not an unprimeable number, because it can be changed into a prime (342244101442249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4344317628 + ... + 4344396406.

It is an arithmetic number, because the mean of its divisors is an integer number (4891763429280).

Almost surely, 2342244101442243 is an apocalyptic number.

342244101442243 is a deficient number, since it is larger than the sum of its proper divisors (127365187768637).

342244101442243 is a wasteful number, since it uses less digits than its factorization.

342244101442243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84449 (or 84438 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

It can be divided in two parts, 34224410 and 1442243, that added together give a palindrome (35666653).

The spelling of 342244101442243 in words is "three hundred forty-two trillion, two hundred forty-four billion, one hundred one million, four hundred forty-two thousand, two hundred forty-three".

Divisors: 1 7 11 13 71 77 91 121 143 497 781 847 923 1001 1573 5467 5557 6461 8591 10153 11011 38899 60137 61127 71071 72241 78779 111683 394547 427889 505687 551453 672397 781781 794651 866569 1024127 2761829 4340017 4706779 5129111 5562557 5593309 6065983 7168889 8741161 9532259 11265397 30380119 35903777 39153163 47740187 56420221 61188127 61526399 66725813 72713017 78857779 123919367 334181309 394941547 430684793 437774903 508991119 620622431 676790389 799843187 867435569 3064424321 4344357017 4737532723 4815523933 5598902309 5691073739 8798275057 31082018113 33708667531 39837516173 52970763263 61587925399 62601811129 217574126791 341902199243 370795342841 404066235469 438212677903 688619922419 2393315394701 2828463648283 3760924191673 4444728590159 4820339456933 26326469341711 31113100131113 48892014491749 342244101442243