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43540929054 = 236721120219
BaseRepresentation
bin101000100011001111…
…011101101000011110
311011101102221101000000
4220203033131220132
51203132434212204
632000305115130
73100661535060
oct504317355036
9134342841000
1043540929054
11175137a0497
128531928aa6
13414b84c55c
142170981730
1511ec7cb039
hexa233dda1e

43540929054 has 112 divisors (see below), whose sum is σ = 112447140480. Its totient is φ = 12380694480.

The previous prime is 43540929053. The next prime is 43540929073. The reversal of 43540929054 is 45092904534.

43540929054 is a `hidden beast` number, since 4 + 354 + 0 + 9 + 290 + 5 + 4 = 666.

It is a super-2 number, since 2×435409290542 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43540929053) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 2143357 + ... + 2163575.

Almost surely, 243540929054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43540929054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56223570240).

43540929054 is an abundant number, since it is smaller than the sum of its proper divisors (68906211426).

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

43540929054 is a wasteful number, since it uses less digits than its factorization.

43540929054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20457 (or 20442 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 43540929054 in words is "forty-three billion, five hundred forty million, nine hundred twenty-nine thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 211 243 378 422 486 567 633 729 1134 1266 1458 1477 1701 1899 2954 3402 3798 4431 5103 5697 8862 10206 11394 13293 17091 20219 26586 34182 39879 40438 51273 60657 79758 102546 119637 121314 141533 153819 181971 239274 283066 307638 358911 363942 424599 545913 717822 849198 1076733 1091826 1273797 1637739 2153466 2547594 3275478 3821391 4266209 4913217 7642782 8532418 9826434 11464173 12798627 14739651 22928346 25597254 29479302 29863463 34392519 38395881 59726926 68785038 76791762 89590389 103177557 115187643 179180778 206355114 230375286 268771167 345562929 537542334 691125858 806313501 1036688787 1612627002 2073377574 2418940503 3110066361 4837881006 6220132722 7256821509 14513643018 21770464527 43540929054