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334131212431340 = 2251910917921450137
BaseRepresentation
bin100101111111000111111110…
…0001110011010111111101100
31121211001122001200200012000122
41023332033330032122333230
5322243401210340300330
63142345432051144112
7130244116633352132
oct11376177416327754
91554048050605018
10334131212431340
11975122846a8945
1231584a4aba5038
131145959076bbbc
145c72073635752
1528967bdaea5e5
hex12fe3fc39afec

334131212431340 has 96 divisors (see below), whose sum is σ = 745425287006400. Its totient is φ = 125449230090240.

The previous prime is 334131212431337. The next prime is 334131212431343. The reversal of 334131212431340 is 43134212131433.

It is an interprime number because it is at equal distance from previous prime (334131212431337) and next prime (334131212431343).

It is a super-2 number, since 2×3341312124313402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334131212431340.

It is not an unprimeable number, because it can be changed into a prime (334131212431343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742062752 + ... + 742512888.

It is an arithmetic number, because the mean of its divisors is an integer number (7764846739650).

Almost surely, 2334131212431340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334131212431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372712643503200).

334131212431340 is an abundant number, since it is smaller than the sum of its proper divisors (411294074575060).

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

334131212431340 is a wasteful number, since it uses less digits than its factorization.

334131212431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468195 (or 468193 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 334131212431340 its reverse (43134212131433), we get a palindrome (377265424562773).

The spelling of 334131212431340 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, two hundred twelve million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 1090 2071 2180 4142 8284 10355 17921 20710 35842 41420 71684 89605 179210 340499 358420 450137 680998 900274 1361996 1702495 1800548 1953389 2250685 3404990 3906778 4501370 6809980 7813556 8552603 9002740 9766945 17105206 19533890 34210412 37114391 39067780 42763015 49064933 74228782 85526030 98129866 148457564 171052060 185571955 196259732 245324665 371143910 490649330 742287820 932233727 981298660 1864467454 3728934908 4661168635 8066905177 9322337270 16133810354 18644674540 32267620708 40334525885 80669051770 153271198363 161338103540 306542396726 613084793452 766355991815 879292664293 1532711983630 1758585328586 3065423967260 3517170657172 4396463321465 8792926642930 16706560621567 17585853285860 33413121243134 66826242486268 83532803107835 167065606215670 334131212431340