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42041834570450 = 252111331189676673
BaseRepresentation
bin10011000111100101000001…
…00111011000001011010010
312111212011022201220020022202
421203302200213120023102
521002303134122223300
6225225430245203202
711566264565402351
oct1143624047301322
9174764281806282
1042041834570450
111243992964a920
12486bba5400502
131a5c6b2cb6820
14a54b9b04b998
154cd9107b7ad5
hex263ca09d82d2

42041834570450 has 96 divisors (see below), whose sum is σ = 94832267346432. Its totient is φ = 13656720384000.

The previous prime is 42041834570431. The next prime is 42041834570531. The reversal of 42041834570450 is 5407543814024.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42041834570395 and 42041834570404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94616687 + ... + 95059986.

It is an arithmetic number, because the mean of its divisors is an integer number (987836118192).

Almost surely, 242041834570450 is an apocalyptic number.

42041834570450 is an abundant number, since it is smaller than the sum of its proper divisors (52790432775982).

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

42041834570450 is a wasteful number, since it uses less digits than its factorization.

42041834570450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189676740 (or 189676735 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 47.

The spelling of 42041834570450 in words is "forty-two trillion, forty-one billion, eight hundred thirty-four million, five hundred seventy thousand, four hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 31 50 55 62 65 110 130 143 155 275 286 310 325 341 403 550 650 682 715 775 806 1430 1550 1705 2015 3410 3575 4030 4433 7150 8525 8866 10075 17050 20150 22165 44330 110825 221650 189676673 379353346 948383365 1896766730 2086443403 2465796749 4172886806 4741916825 4931593498 5879976863 9483833650 10432217015 11759953726 12328983745 20864434030 24657967490 27123764239 29399884315 52161085075 54247528478 58799768630 61644918725 64679745493 76439699219 104322170150 123289837450 129359490986 135618821195 146999421575 152879398438 271237642390 293998843150 323398727465 382198496095 646797454930 678094105975 764396992190 840836691409 1356188211950 1616993637325 1681673382818 1910992480475 3233987274650 3821984960950 4204183457045 8408366914090 21020917285225 42041834570450