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414133031104122 = 2311291600713517239
BaseRepresentation
bin101111000101001101101110…
…0001101010110111001111010
32000022022201201222200100200210
41132022123130031112321322
5413240123421430312442
64024442031004211550
7153142060401120501
oct13612333415267172
92008281658610623
10414133031104122
1110aa569176a5840
123a54590a239bb6
1314a1076732b455
14743a207963838
1532d283d02a19c
hex178a6dc356e7a

414133031104122 has 64 divisors (see below), whose sum is σ = 934778784614400. Its totient is φ = 121159870399680.

The previous prime is 414133031104063. The next prime is 414133031104159. The reversal of 414133031104122 is 221401130331414.

It is a self number, because there is not a number n which added to its sum of digits gives 414133031104122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23878779 + ... + 37396017.

It is an arithmetic number, because the mean of its divisors is an integer number (14605918509600).

Almost surely, 2414133031104122 is an apocalyptic number.

414133031104122 is an abundant number, since it is smaller than the sum of its proper divisors (520645753510278).

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

414133031104122 is a wasteful number, since it uses less digits than its factorization.

414133031104122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13533291.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 414133031104122 its reverse (221401130331414), we get a palindrome (635534161435536).

The spelling of 414133031104122 in words is "four hundred fourteen trillion, one hundred thirty-three billion, thirty-one million, one hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 16007 32014 48021 96042 176077 352154 464203 528231 928406 1056462 1392609 2785218 5106233 10212466 13517239 15318699 27034478 30637398 40551717 81103434 148689629 297379258 391999931 446068887 783999862 892137774 1175999793 2351999586 4311999241 8623998482 12935997723 25871995446 216370444673 432740889346 649111334019 1298222668038 2380074891403 4760149782806 6274742895517 7140224674209 12549485791034 14280449348418 18824228686551 37648457373102 69022171850687 138044343701374 207066515552061 414133031104122