Search a number
-
+
42541532342442 = 2327794918704303
BaseRepresentation
bin10011010110000111110001…
…11011000110100010101010
312120121221010112102011200100
421223003320323012202222
521034000024234424232
6230251150554450230
711650344554362560
oct1153037073064252
9176557115364610
1042541532342442
1112611842a51a01
124930a01133976
131a97859636653
14a7104207ba30
154db909aebc7c
hex26b0f8ec68aa

42541532342442 has 96 divisors (see below), whose sum is σ = 106891638497280. Its totient is φ = 11976423207840.

The previous prime is 42541532342417. The next prime is 42541532342461. The reversal of 42541532342442 is 24424323514524.

42541532342442 is a `hidden beast` number, since 4 + 2 + 5 + 41 + 532 + 34 + 2 + 4 + 42 = 666.

42541532342442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 535263 + ... + 9239565.

It is an arithmetic number, because the mean of its divisors is an integer number (1113454567680).

Almost surely, 242541532342442 is an apocalyptic number.

42541532342442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42541532342442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53445819248640).

42541532342442 is an abundant number, since it is smaller than the sum of its proper divisors (64350106154838).

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

42541532342442 is a wasteful number, since it uses less digits than its factorization.

42541532342442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704888 (or 8704885 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 45.

Adding to 42541532342442 its reverse (24424323514524), we get a palindrome (66965855856966).

The spelling of 42541532342442 in words is "forty-two trillion, five hundred forty-one billion, five hundred thirty-two million, three hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 491 553 711 982 1106 1422 1473 1659 2946 3318 3437 4419 4977 6874 8838 9954 10311 20622 30933 38789 61866 77578 116367 232734 271523 349101 543046 698202 814569 1629138 2443707 4887414 8704303 17408606 26112909 52225818 60930121 78338727 121860242 156677454 182790363 365580726 548371089 687639937 1096742178 1375279874 2062919811 4125839622 4273812773 4813479559 6188759433 8547625546 9626959118 12377518866 12821438319 14440438677 25642876638 28880877354 29916689411 38464314957 43321316031 59833378822 76928629914 86642632062 89750068233 179500136466 269250204699 337631209067 538500409398 675262418134 1012893627201 2025787254402 2363418463469 3038680881603 4726836926938 6077361763206 7090255390407 14180510780814 21270766171221 42541532342442