Search a number
-
+
443486407340 = 225193143875521
BaseRepresentation
bin1100111010000011101…
…10011000101010101100
31120101201022220202021002
412131001312120222230
524231230010013330
6535422420455432
744020002156464
oct6350166305254
91511638822232
10443486407340
11161099573919
1271b4a84a578
1332a88aab312
14176717d0ba4
15b809504e45
hex6741d98aac

443486407340 has 96 divisors (see below), whose sum is σ = 1035497379840. Its totient is φ = 158854348800.

The previous prime is 443486407271. The next prime is 443486407391. The reversal of 443486407340 is 43704684344.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68780 + ... + 944300.

It is an arithmetic number, because the mean of its divisors is an integer number (10786431040).

Almost surely, 2443486407340 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 443486407340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517748689920).

443486407340 is an abundant number, since it is smaller than the sum of its proper divisors (592010972500).

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

443486407340 is a wasteful number, since it uses less digits than its factorization.

443486407340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875623 (or 875621 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 47.

The spelling of 443486407340 in words is "four hundred forty-three billion, four hundred eighty-six million, four hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 43 62 76 86 95 124 155 172 190 215 310 380 430 589 620 817 860 1178 1333 1634 2356 2666 2945 3268 4085 5332 5890 6665 8170 11780 13330 16340 25327 26660 50654 101308 126635 253270 506540 875521 1751042 3502084 4377605 8755210 16634899 17510420 27141151 33269798 37647403 54282302 66539596 75294806 83174495 108564604 135705755 150589612 166348990 188237015 271411510 332697980 376474030 515681869 542823020 715300657 752948060 1031363738 1167069493 1430601314 2062727476 2334138986 2578409345 2861202628 3576503285 4668277972 5156818690 5835347465 7153006570 10313637380 11670694930 14306013140 22174320367 23341389860 44348640734 88697281468 110871601835 221743203670 443486407340