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141285767967828 = 2232112693820916139
BaseRepresentation
bin100000000111111110101000…
…000000101111010001010100
3200112020210021002111211221200
4200013332220000233101110
5122004311223044432303
61220253441420512500
741521363016503341
oct4007765000572124
9615223232454850
10141285767967828
1141021a59783a80
1213a1a1659ab730
1360ab263107a13
1426c63a663d7c8
151150278c483a3
hex807fa802f454

141285767967828 has 144 divisors (see below), whose sum is σ = 389822513371200. Its totient is φ = 42790105820160.

The previous prime is 141285767967749. The next prime is 141285767967829. The reversal of 141285767967828 is 828769767582141.

141285767967828 is a `hidden beast` number, since 1 + 4 + 12 + 8 + 576 + 7 + 9 + 6 + 7 + 8 + 28 = 666.

141285767967828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141285767967829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8754299383 + ... + 8754315521.

It is an arithmetic number, because the mean of its divisors is an integer number (2707100787300).

Almost surely, 2141285767967828 is an apocalyptic number.

141285767967828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141285767967828 is an abundant number, since it is smaller than the sum of its proper divisors (248536745403372).

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

141285767967828 is a wasteful number, since it uses less digits than its factorization.

141285767967828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27062 (or 27057 counting only the distinct ones).

The product of its digits is 4551966720, while the sum is 81.

The spelling of 141285767967828 in words is "one hundred forty-one trillion, two hundred eighty-five billion, seven hundred sixty-seven million, nine hundred sixty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2693 5386 8079 8209 10772 16139 16158 16418 24237 24627 29623 32278 32316 32836 48417 48474 49254 59246 64556 73881 88869 90299 96834 96948 98508 118492 145251 147762 177529 177738 180598 193668 266607 270897 290502 295524 355058 355476 361196 532587 533214 541794 581004 710116 812691 1065174 1066428 1083588 1597761 1625382 2130348 3195522 3250764 6391044 22106837 43462327 44213674 66320511 86924654 88427348 130386981 132485051 132641022 173849308 198961533 243175207 260773962 264970102 265282044 391160943 397455153 397923066 478085597 486350414 521547924 529940204 729525621 782321886 794910306 795846132 956171194 972700828 1192365459 1434256791 1457335561 1459051242 1564643772 1589820612 1912342388 2188576863 2384730918 2868513582 2914671122 2918102484 4302770373 4372006683 4377153726 4769461836 5737027164 5829342244 8605540746 8744013366 8754307452 13116020049 17211081492 17488026732 26232040098 52464080196 356782242343 713564484686 1070346727029 1427128969372 2140693454058 3211040181087 3924604665773 4281386908116 6422080362174 7849209331546 11773813997319 12844160724348 15698418663092 23547627994638 35321441991957 47095255989276 70642883983914 141285767967828