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334044111204320 = 255112127135860981
BaseRepresentation
bin100101111110011111011010…
…0100101100110111111100000
31121210202022020110100101212112
41023330332310211212333200
5322240434314432014240
63142241425101414452
7130234614323215556
oct11374766445467740
91553668213311775
10334044111204320
1197489348298900
123156bba0b6a428
13114512bc37b00a
145c6bb6d70dbd6
1528943c1eb9665
hex12fcfb4966fe0

334044111204320 has 144 divisors (see below), whose sum is σ = 874275201160704. Its totient is φ = 120514123699200.

The previous prime is 334044111204299. The next prime is 334044111204407. The reversal of 334044111204320 is 23402111440433.

It is a super-2 number, since 2×3340441112043202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65471771 + ... + 70389210.

It is an arithmetic number, because the mean of its divisors is an integer number (6071355563616).

Almost surely, 2334044111204320 is an apocalyptic number.

It is an amenable number.

334044111204320 is an abundant number, since it is smaller than the sum of its proper divisors (540231089956384).

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

334044111204320 is a wasteful number, since it uses less digits than its factorization.

334044111204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135861145 (or 135861126 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 334044111204320 its reverse (23402111440433), we get a palindrome (357446222644753).

The spelling of 334044111204320 in words is "three hundred thirty-four trillion, forty-four billion, one hundred eleven million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 127 160 176 220 242 254 352 440 484 508 605 635 880 968 1016 1210 1270 1397 1760 1936 2032 2420 2540 2794 3872 4064 4840 5080 5588 6985 9680 10160 11176 13970 15367 19360 20320 22352 27940 30734 44704 55880 61468 76835 111760 122936 153670 223520 245872 307340 491744 614680 1229360 2458720 135860981 271721962 543443924 679304905 1086887848 1358609810 1494470791 2173775696 2717219620 2988941582 4347551392 5434439240 5977883164 7472353955 10868878480 11955766328 14944707910 16439178701 17254344587 21737756960 23911532656 29889415820 32878357402 34508689174 47823065312 59778831640 65756714804 69017378348 82195893505 86271722935 119557663280 131513429608 138034756696 164391787010 172543445870 189797790457 239115326560 263026859216 276069513392 328783574020 345086891740 379595580914 526053718432 552139026784 657567148040 690173783480 759191161828 948988952285 1315134296080 1380347566960 1518382323656 1897977904570 2087775695027 2630268592160 2760695133920 3036764647312 3795955809140 4175551390054 6073529294624 7591911618280 8351102780108 10438878475135 15183823236560 16702205560216 20877756950270 30367646473120 33404411120432 41755513900540 66808822240864 83511027801080 167022055602160 334044111204320