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334131212431401 = 371147792231746929
BaseRepresentation
bin100101111111000111111110…
…0001110011011000000101001
31121211001122001200200012002220
41023332033330032123000221
5322243401210340301101
63142345432051144253
7130244116633352250
oct11376177416330051
91554048050605086
10334131212431401
11975122846a89a0
1231584a4aba5089
131145959076bc38
145c72073635797
1528967bdaea636
hex12fe3fc39b029

334131212431401 has 128 divisors (see below), whose sum is σ = 577013494579200. Its totient is φ = 166978924968960.

The previous prime is 334131212431363. The next prime is 334131212431441. The reversal of 334131212431401 is 104134212131433.

It is a happy number.

It is not a de Polignac number, because 334131212431401 - 26 = 334131212431337 is a prime.

It is a super-2 number, since 2×3341312124314012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (334131212431441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190394305 + ... + 192141233.

It is an arithmetic number, because the mean of its divisors is an integer number (4507917926400).

Almost surely, 2334131212431401 is an apocalyptic number.

It is an amenable number.

334131212431401 is a deficient number, since it is larger than the sum of its proper divisors (242882282147799).

334131212431401 is a wasteful number, since it uses less digits than its factorization.

334131212431401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747299.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 334131212431401 its reverse (104134212131433), we get a palindrome (438265424562834).

The spelling of 334131212431401 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, two hundred twelve million, four hundred thirty-one thousand, four hundred one".

Divisors: 1 3 7 11 21 33 47 77 79 141 223 231 237 329 517 553 669 869 987 1551 1561 1659 2453 2607 3619 3713 4683 6083 7359 10481 10857 11139 17171 17617 18249 25991 31443 40843 51513 52851 73367 77973 115291 122529 123319 193787 220101 285901 345873 369957 581361 807037 827999 857703 1356509 1746929 2421111 2483997 4069527 5240787 5795993 9107989 12228503 17387979 19216219 27323967 36685509 57648657 63755923 82105663 134513533 138007391 191267769 246316989 389565167 403540599 414022173 574739641 903162293 966051737 1168695501 1518081301 1724218923 2709486879 2726956169 2898155211 4285216837 4554243903 6322136051 6486347377 8180868507 10626569107 12855650511 18309562849 18966408153 19459042131 29996517859 30775648193 31879707321 45404431639 54928688547 71349821147 89989553577 92326944579 128166939943 136213294917 201405191339 214049463441 215429537351 338532130123 384500819829 499448748029 604215574017 646288612053 1015596390369 1409836339373 1446455465071 1498346244087 2369724910861 4229509018119 4339366395213 7109174732583 10125188255497 15911010115781 30375564766491 47733030347343 111377070810467 334131212431401