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42034223242220 = 225115319511847767
BaseRepresentation
bin10011000111010110110101…
…11100011101101111101100
312111211102200021211200212012
421203223122330131233230
521002142042122222340
6225222131112100352
711565605144233136
oct1143533274355754
9174742607750765
1042034223242220
1112436683210310
12486a6203946b8
131a5ba6c149a01
14a5467823a056
154cd617494565
hex263adaf1dbec

42034223242220 has 96 divisors (see below), whose sum is σ = 98163842789376. Its totient is φ = 14989077792000.

The previous prime is 42034223242211. The next prime is 42034223242337. The reversal of 42034223242220 is 2224232243024.

It is a happy 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, 21824777 + ... + 23672543.

It is an arithmetic number, because the mean of its divisors is an integer number (1022540029056).

Almost surely, 242034223242220 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 42034223242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49081921394688).

42034223242220 is an abundant number, since it is smaller than the sum of its proper divisors (56129619547156).

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

42034223242220 is a wasteful number, since it uses less digits than its factorization.

42034223242220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849791 (or 1849789 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 42034223242220 its reverse (2224232243024), we get a palindrome (44258455485244).

The spelling of 42034223242220 in words is "forty-two trillion, thirty-four billion, two hundred twenty-three million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 1951 2332 2915 3902 5830 7804 9755 11660 19510 21461 39020 42922 85844 103403 107305 206806 214610 413612 429220 517015 1034030 1137433 1847767 2068060 2274866 3695534 4549732 5687165 7391068 9238835 11374330 18477670 20325437 22748660 36955340 40650874 81301748 97931651 101627185 195863302 203254370 391726604 406508740 489658255 979316510 1077248161 1958633020 2154496322 3604993417 4308992644 5386240805 7209986834 10772481610 14419973668 18024967085 21544963220 36049934170 39654927587 72099868340 79309855174 158619710348 191064651101 198274637935 382129302202 396549275870 764258604404 793098551740 955323255505 1910646511010 2101711162111 3821293022020 4203422324222 8406844648444 10508555810555 21017111621110 42034223242220