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141022535454 = 232176710216737
BaseRepresentation
bin1000001101010110011…
…0010001111100011110
3111111000002210001200200
42003111212101330132
54302303232113304
6144441310204330
713121445526143
oct2032546217436
9444002701620
10141022535454
11548975aa169
12233b81b36a6
13103b568c668
146b7b3643ca
153a058a4e39
hex20d5991f1e

141022535454 has 96 divisors (see below), whose sum is σ = 328721361696. Its totient is φ = 43532881920.

The previous prime is 141022535441. The next prime is 141022535527. The reversal of 141022535454 is 454535220141.

141022535454 is a `hidden beast` number, since 1 + 4 + 102 + 2 + 5 + 3 + 545 + 4 = 666.

141022535454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1410225354542 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20929174 + ... + 20935910.

It is an arithmetic number, because the mean of its divisors is an integer number (3424180851).

Almost surely, 2141022535454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141022535454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164360680848).

141022535454 is an abundant number, since it is smaller than the sum of its proper divisors (187698826242).

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

141022535454 is a wasteful number, since it uses less digits than its factorization.

141022535454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 141022535454 its reverse (454535220141), we get a palindrome (595557755595).

The spelling of 141022535454 in words is "one hundred forty-one billion, twenty-two million, five hundred thirty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 306 402 603 1021 1139 1206 2042 2278 3063 3417 6126 6737 6834 9189 10251 13474 17357 18378 20211 20502 34714 40422 52071 60633 68407 104142 114529 121266 136814 156213 205221 229058 312426 343587 410442 451379 615663 687174 902758 1030761 1162919 1231326 1354137 2061522 2325838 2708274 3488757 4062411 6878477 6977514 7673443 8124822 10466271 13756954 15346886 20635431 20932542 23020329 41270862 46040658 61906293 69060987 116934109 123812586 138121974 233868218 350802327 460857959 701604654 921715918 1052406981 1382573877 2104813962 2765147754 4147721631 7834585303 8295443262 15669170606 23503755909 47007511818 70511267727 141022535454