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334141424311440 = 24353493989272019
BaseRepresentation
bin100101111111001100101110…
…0111001101001110010010000
31121211002121102101010110000010
41023332121130321221302100
5322244033114110431230
63142354241243154520
7130244630663041254
oct11376313471516220
91554077371113003
10334141424311440
1197516644a7a579
1231586a1ab15a40
131145a52a312bc5
145c72761990264
152896bba3ac9b0
hex12fe65ce69c90

334141424311440 has 80 divisors (see below), whose sum is σ = 1038806434008000. Its totient is φ = 88849066384896.

The previous prime is 334141424311393. The next prime is 334141424311523. The reversal of 334141424311440 is 44113424141433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3341414243114402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1994552250 + ... + 1994719769.

It is an arithmetic number, because the mean of its divisors is an integer number (12985080425100).

Almost surely, 2334141424311440 is an apocalyptic number.

334141424311440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334141424311440 is an abundant number, since it is smaller than the sum of its proper divisors (704665009696560).

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

334141424311440 is a wasteful number, since it uses less digits than its factorization.

334141424311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989272384 (or 3989272378 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

Adding to 334141424311440 its reverse (44113424141433), we get a palindrome (378254848452873).

The spelling of 334141424311440 in words is "three hundred thirty-four trillion, one hundred forty-one billion, four hundred twenty-four million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 349 698 1047 1396 1745 2094 2792 3490 4188 5235 5584 6980 8376 10470 13960 16752 20940 27920 41880 83760 3989272019 7978544038 11967816057 15957088076 19946360095 23935632114 31914176152 39892720190 47871264228 59839080285 63828352304 79785440380 95742528456 119678160570 159570880760 191485056912 239356321140 319141761520 478712642280 957425284560 1392255934631 2784511869262 4176767803893 5569023738524 6961279673155 8353535607786 11138047477048 13922559346310 16707071215572 20883839019465 22276094954096 27845118692620 33414142431144 41767678038930 55690237385240 66828284862288 83535356077860 111380474770480 167070712155720 334141424311440