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414323102222004 = 2231973167149061323
BaseRepresentation
bin101111000110100110001110…
…1010101001000011010110100
32000022222220100101000120110110
41132031030131111020122310
5413301232203132101004
64025105223332023020
7153161566500013353
oct13615143525103264
92008886311016413
10414323102222004
1111001a493906938
123a576714761a70
1314a25668600741
1474454b911599a
1532d776498d589
hex178d31d5486b4

414323102222004 has 96 divisors (see below), whose sum is σ = 1037753012782080. Its totient is φ = 128273826279168.

The previous prime is 414323102221981. The next prime is 414323102222017. The reversal of 414323102222004 is 400222201323414.

It is a congruent number.

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, 71751114 + ... + 77310209.

It is an arithmetic number, because the mean of its divisors is an integer number (10809927216480).

Almost surely, 2414323102222004 is an apocalyptic number.

It is an amenable number.

414323102222004 is an abundant number, since it is smaller than the sum of its proper divisors (623429910560076).

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

414323102222004 is a wasteful number, since it uses less digits than its factorization.

414323102222004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149061589 (or 149061587 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414323102222004 its reverse (400222201323414), we get a palindrome (814545303545418).

The spelling of 414323102222004 in words is "four hundred fourteen trillion, three hundred twenty-three billion, one hundred two million, two hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 167 219 228 292 334 438 501 668 876 1002 1387 2004 2774 3173 4161 5548 6346 8322 9519 12191 12692 16644 19038 24382 36573 38076 48764 73146 146292 231629 463258 694887 926516 1389774 2779548 149061323 298122646 447183969 596245292 894367938 1788735876 2832165137 5664330274 8496495411 10881476579 11328660548 16992990822 21762953158 24893240941 32644429737 33985981644 43525906316 49786481882 65288859474 74679722823 99572963764 130577718948 149359445646 206748055001 298718891292 413496110002 472971577879 620244165003 826992220004 945943155758 1240488330006 1418914733637 1817206588693 1891886311516 2480976660012 2837829467274 3634413177386 5451619766079 5675658934548 7268826354772 10903239532158 21806479064316 34526925185167 69053850370334 103580775555501 138107700740668 207161551111002 414323102222004