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42241651689942 = 23331108193233231
BaseRepresentation
bin10011001101011001001101…
…01001001100100111010110
312112120021002100001121221000
421212230212221030213112
521014041400313034232
6225501314043404130
711616600336033135
oct1146544651144726
9175507070047830
1042241651689942
1112506647161201
1248a286b823646
131a754a8463983
14a60714b2591c
154d3c07b6527c
hex266b26a4c9d6

42241651689942 has 64 divisors (see below), whose sum is σ = 96899723550720. Its totient is φ = 13626154886400.

The previous prime is 42241651689931. The next prime is 42241651689971. The reversal of 42241651689942 is 24998615614224.

42241651689942 is a `hidden beast` number, since 4 + 2 + 2 + 416 + 51 + 6 + 89 + 94 + 2 = 666.

42241651689942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42241651689942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180998467 + ... + 181231697.

It is an arithmetic number, because the mean of its divisors is an integer number (1514058180480).

Almost surely, 242241651689942 is an apocalyptic number.

42241651689942 is an abundant number, since it is smaller than the sum of its proper divisors (54658071860778).

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

42241651689942 is a wasteful number, since it uses less digits than its factorization.

42241651689942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341466 (or 341460 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 42241651689942 in words is "forty-two trillion, two hundred forty-one billion, six hundred fifty-one million, six hundred eighty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 108193 216386 233231 324579 466462 649158 699693 973737 1399386 1947474 2099079 2921211 3353983 4198158 5842422 6297237 6707966 7230161 10061949 12594474 14460322 20123898 21690483 30185847 43380966 60371694 65071449 90557541 130142898 181115082 195214347 390428694 25233961583 50467923166 75701884749 151403769498 227105654247 454211308494 681316962741 782252809073 1362633925482 1564505618146 2346758427219 4693516854438 7040275281657 14080550563314 21120825844971 42241651689942