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43407428688 = 24331318142703
BaseRepresentation
bin101000011011010010…
…001100110001010000
311011001010201211221000
4220123102030301100
51202344300204223
631535135502000
73064451025141
oct503322146120
9134033654830
1043407428688
11174553a8708
1284b5087900
134129ca9760
14215ad4dac8
1511e0c0a543
hexa1b48cc50

43407428688 has 160 divisors (see below), whose sum is σ = 134924142080. Its totient is φ = 13282030080.

The previous prime is 43407428683. The next prime is 43407428699. The reversal of 43407428688 is 88682470434.

It is a happy number.

43407428688 is a `hidden beast` number, since 43 + 407 + 42 + 86 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43407428683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995145 + ... + 1037847.

It is an arithmetic number, because the mean of its divisors is an integer number (843275888).

Almost surely, 243407428688 is an apocalyptic number.

43407428688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43407428688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67462071040).

43407428688 is an abundant number, since it is smaller than the sum of its proper divisors (91516713392).

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

43407428688 is a wasteful number, since it uses less digits than its factorization.

43407428688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42914 (or 42902 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 43407428688 in words is "forty-three billion, four hundred seven million, four hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 181 208 216 234 312 351 362 432 468 543 624 702 724 936 1086 1404 1448 1629 1872 2172 2353 2808 2896 3258 4344 4706 4887 5616 6516 7059 8688 9412 9774 13032 14118 18824 19548 21177 26064 28236 37648 39096 42354 42703 56472 63531 78192 84708 85406 112944 127062 128109 169416 170812 254124 256218 338832 341624 384327 508248 512436 555139 683248 768654 1016496 1024872 1110278 1152981 1537308 1665417 2049744 2220556 2305962 3074616 3330834 4441112 4611924 4996251 6149232 6661668 7729243 8882224 9223848 9992502 13323336 14988753 15458486 18447696 19985004 23187729 26646672 29977506 30916972 39970008 46375458 59955012 61833944 69563187 79940016 92750916 100480159 119910024 123667888 139126374 185501832 200960318 208689561 239820048 278252748 301440477 371003664 401920636 417379122 556505496 602880954 803841272 834758244 904321431 1113010992 1205761908 1607682544 1669516488 1808642862 2411523816 2712964293 3339032976 3617285724 4823047632 5425928586 7234571448 10851857172 14469142896 21703714344 43407428688