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414423314431420 = 225773197205838713
BaseRepresentation
bin101111000111010100111001…
…0011100010111110110111100
32000100100111000022222021022011
41132032221302130113312330
5413304402421443301140
64025223235315301004
7153202045031520250
oct13616516234276674
92010314008867264
10414423314431420
11110058a39004018
123a5920215aa764
1314a31c49080888
14744a2a4416260
1532da17c644cea
hex178ea72717dbc

414423314431420 has 96 divisors (see below), whose sum is σ = 1013358809409408. Its totient is φ = 139430203379712.

The previous prime is 414423314431403. The next prime is 414423314431421. The reversal of 414423314431420 is 24134413324414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414423314431421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 100906017 + ... + 104932696.

It is an arithmetic number, because the mean of its divisors is an integer number (10555820931348).

Almost surely, 2414423314431420 is an apocalyptic number.

It is an amenable number.

414423314431420 is an abundant number, since it is smaller than the sum of its proper divisors (598935494977988).

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

414423314431420 is a wasteful number, since it uses less digits than its factorization.

414423314431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205838999 (or 205838997 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 414423314431420 its reverse (24134413324414), we get a palindrome (438557727755834).

The spelling of 414423314431420 in words is "four hundred fourteen trillion, four hundred twenty-three billion, three hundred fourteen million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 197 292 365 394 511 730 788 985 1022 1379 1460 1970 2044 2555 2758 3940 5110 5516 6895 10220 13790 14381 27580 28762 57524 71905 100667 143810 201334 287620 402668 503335 1006670 2013340 205838713 411677426 823354852 1029193565 1440870991 2058387130 2881741982 4116774260 5763483964 7204354955 14408709910 15026226049 28817419820 30052452098 40550226461 60104904196 75131130245 81100452922 105183582343 150262260490 162200905844 202751132305 210367164686 283851585227 300524520980 405502264610 420734329372 525917911715 567703170454 811004529220 1051835823430 1135406340908 1419257926135 2103671646860 2838515852270 2960166531653 5677031704540 5920333063306 11840666126612 14800832658265 20721165721571 29601665316530 41442331443142 59203330633060 82884662886284 103605828607855 207211657215710 414423314431420