Search a number
-
+
443240142420 = 2235231721186629
BaseRepresentation
bin1100111001100110010…
…10111101011001010100
31120101002011112012022010
412130303022331121110
524230223434024140
6535342142304220
744010622022115
oct6346312753124
91511064465263
10443240142420
11160a82561399
1271aa0288070
1332a49a75a2a
141764ac0820c
15b7e2aac880
hex67332bd654

443240142420 has 96 divisors (see below), whose sum is σ = 1295791499520. Its totient is φ = 112992056320.

The previous prime is 443240142419. The next prime is 443240142451. The reversal of 443240142420 is 24241042344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2281666 + ... + 2468294.

It is an arithmetic number, because the mean of its divisors is an integer number (13497828120).

Almost surely, 2443240142420 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 443240142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647895749760).

443240142420 is an abundant number, since it is smaller than the sum of its proper divisors (852551357100).

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

443240142420 is a wasteful number, since it uses less digits than its factorization.

443240142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188385 (or 188383 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 443240142420 its reverse (24241042344), we get a palindrome (467481184764).

The spelling of 443240142420 in words is "four hundred forty-three billion, two hundred forty million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1721 3442 5163 6884 8605 10326 17210 20652 25815 34420 39583 51630 79166 103260 118749 158332 186629 197915 237498 373258 395830 474996 559887 593745 746516 791660 933145 1119774 1187490 1866290 2239548 2374980 2799435 3732580 4292467 5598870 8584934 11197740 12877401 17169868 21462335 25754802 42924670 51509604 64387005 85849340 128774010 257548020 321188509 642377018 963565527 1284754036 1605942545 1927131054 3211885090 3854262108 4817827635 6423770180 7387335707 9635655270 14774671414 19271310540 22162007121 29549342828 36936678535 44324014242 73873357070 88648028484 110810035605 147746714140 221620071210 443240142420