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335430345406120 = 23573661683254447
BaseRepresentation
bin100110001000100100111011…
…0100101011011011010101000
31121222122211100111120012020121
41030101021312211123122220
5322431142321410443440
63145222323503333024
7130440020440423306
oct11421116645333250
91558584314505217
10335430345406120
1197973235370168
1231754793bb1174
1311521c3b046963
145cb8cb59a9276
1528ba4a685934a
hex131127695b6a8

335430345406120 has 128 divisors (see below), whose sum is σ = 767339159293440. Its totient is φ = 131939981015040.

The previous prime is 335430345406109. The next prime is 335430345406157. The reversal of 335430345406120 is 21604543034533.

It is a super-2 number, since 2×3354303454061202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1318144737 + ... + 1318399183.

It is an arithmetic number, because the mean of its divisors is an integer number (5994837181980).

Almost surely, 2335430345406120 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 335430345406120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383669579646720).

335430345406120 is an abundant number, since it is smaller than the sum of its proper divisors (431908813887320).

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

335430345406120 is a wasteful number, since it uses less digits than its factorization.

335430345406120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255875 (or 255871 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 43.

The spelling of 335430345406120 in words is "three hundred thirty-five trillion, four hundred thirty billion, three hundred forty-five million, four hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 661 683 730 1322 1366 1460 2644 2732 2920 3305 3415 5288 5464 6610 6830 13220 13660 26440 27320 48253 49859 96506 99718 193012 199436 241265 249295 254447 386024 398872 451463 482530 498590 508894 902926 965060 997180 1017788 1272235 1805852 1930120 1994360 2035576 2257315 2544470 3611704 4514630 5088940 9029260 10177880 18058520 18574631 32956799 37149262 65913598 74298524 92873155 131827196 148597048 164783995 168189467 173787301 185746310 263654392 329567990 336378934 347574602 371492620 659135980 672757868 695149204 742985240 840947335 868936505 1318271960 1345515736 1390298408 1681894670 1737873010 3363789340 3475746020 6727578680 6951492040 12277831091 12686472973 24555662182 25372945946 49111324364 50745891892 61389155455 63432364865 98222648728 101491783784 114873405961 122778310910 126864729730 229746811922 245556621820 253729459460 459493623844 491113243640 507458918920 574367029805 918987247688 1148734059610 2297468119220 4594936238440 8385758635153 16771517270306 33543034540612 41928793175765 67086069081224 83857586351530 167715172703060 335430345406120