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20333010143142 = 2342941531991723
BaseRepresentation
bin1001001111110001001011…
…10110001100011110100110
32122222211001102210112220000
410213320211312030132212
510131114001044040032
6111124504513122130
74166003642362524
oct447704566143646
978884042715800
1020333010143142
11652a1aa166474
12234480bb59346
13b46519000a08
145041a14d1314
15253d95567e7c
hex127e25d8c7a6

20333010143142 has 160 divisors (see below), whose sum is σ = 49192635048480. Its totient is φ = 6263886021120.

The previous prime is 20333010143081. The next prime is 20333010143167. The reversal of 20333010143142 is 24134101033302.

It is a happy number.

20333010143142 is a `hidden beast` number, since 2 + 0 + 3 + 330 + 1 + 0 + 14 + 314 + 2 = 666.

It is a super-2 number, since 2×203330101431422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9212893 + ... + 11204615.

It is an arithmetic number, because the mean of its divisors is an integer number (307453969053).

Almost surely, 220333010143142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20333010143142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24596317524240).

20333010143142 is an abundant number, since it is smaller than the sum of its proper divisors (28859624905338).

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

20333010143142 is a wasteful number, since it uses less digits than its factorization.

20333010143142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991860 (or 1991851 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 20333010143142 its reverse (24134101033302), we get a palindrome (44467111176444).

The spelling of 20333010143142 in words is "twenty trillion, three hundred thirty-three billion, ten million, one hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 41 53 54 58 81 82 87 106 123 159 162 174 246 261 318 369 477 522 738 783 954 1107 1189 1431 1537 1566 2173 2214 2349 2378 2862 3074 3321 3567 4293 4346 4611 4698 6519 6642 7134 8586 9222 10701 13038 13833 19557 21402 27666 32103 39114 41499 58671 63017 64206 82998 96309 117342 124497 126034 176013 189051 192618 248994 352026 378102 567153 1134306 1701459 1991723 3402918 3983446 5104377 5975169 10208754 11950338 17925507 35851014 53776521 57759967 81660643 105561319 107553042 115519934 161329563 163321286 173279901 211122638 244981929 316683957 322659126 346559802 489963858 519839703 633367914 734945787 950051871 1039679406 1469891574 1559519109 1900103742 2204837361 2368158647 2850155613 3061278251 3119038218 4328014079 4409674722 4678557327 4736317294 5700311226 6122556502 6614512083 7104475941 8550466839 8656028158 9183834753 9357114654 12984042237 13229024166 14208951882 17100933678 18367669506 21313427823 25968084474 27551504259 38952126711 42626855646 55103008518 63940283469 77904253422 82654512777 116856380133 125512408291 127880566938 165309025554 191820850407 233712760266 247963538331 251024816582 350569140399 376537224873 383641700814 495927076662 701138280798 753074449746 1129611674619 2259223349238 3388835023857 6777670047714 10166505071571 20333010143142