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43404025140 = 223257247713907
BaseRepresentation
bin101000011011000101…
…001101110100110100
311011000220022221010200
4220123011031310310
51202342412301030
631534534520500
73064410061230
oct503305156464
9134026287120
1043404025140
1117453493563
1284b3b06130
134129387518
14215a7055c0
1511e0786d60
hexa1b14dd34

43404025140 has 144 divisors (see below), whose sum is σ = 150538856832. Its totient is φ = 9916201728.

The previous prime is 43404025129. The next prime is 43404025141. The reversal of 43404025140 is 4152040434.

It is a happy number.

43404025140 is a `hidden beast` number, since 4 + 3 + 404 + 0 + 251 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43404025141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3114067 + ... + 3127973.

It is an arithmetic number, because the mean of its divisors is an integer number (1045408728).

Almost surely, 243404025140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43404025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75269428416).

43404025140 is an abundant number, since it is smaller than the sum of its proper divisors (107134831692).

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

43404025140 is a wasteful number, since it uses less digits than its factorization.

43404025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16406 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 43404025140 its reverse (4152040434), we get a palindrome (47556065574).

The spelling of 43404025140 in words is "forty-three billion, four hundred four million, twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2477 4954 7431 9908 12385 13907 14862 17339 22293 24770 27814 29724 34678 37155 41721 44586 49540 52017 55628 69356 69535 74310 83442 86695 89172 97349 104034 111465 125163 139070 148620 156051 166884 173390 194698 208068 208605 222930 250326 260085 278140 292047 312102 346780 389396 417210 445860 486745 500652 520170 584094 624204 625815 780255 834420 876141 973490 1040340 1168188 1251630 1460235 1560510 1752282 1946980 2503260 2920470 3121020 3504564 4380705 5840940 8761410 17522820 34447639 68895278 103342917 137790556 172238195 206685834 241133473 310028751 344476390 413371668 482266946 516714585 620057502 688952780 723400419 964533892 1033429170 1205667365 1240115004 1446800838 1550143755 2066858340 2170201257 2411334730 2893601676 3100287510 3617002095 4340402514 4822669460 6200575020 7234004190 8680805028 10851006285 14468008380 21702012570 43404025140