Search a number
-
+
32042422104 = 233711101171673
BaseRepresentation
bin11101110101111000…
…001000111101011000
310001201002110200210020
4131311320020331120
51011110330001404
622415312150440
72213020044150
oct356570107530
9101632420706
1032042422104
1112653125a90
126262b38420
1330385735a4
14179d7c7760
15c780baed9
hex775e08f58

32042422104 has 128 divisors (see below), whose sum is σ = 100861908480. Its totient is φ = 8240256000.

The previous prime is 32042422099. The next prime is 32042422109. The reversal of 32042422104 is 40122424023.

It is an interprime number because it is at equal distance from previous prime (32042422099) and next prime (32042422109).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32042422109) 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 31 ways as a sum of consecutive naturals, for example, 100812 + ... + 272484.

It is an arithmetic number, because the mean of its divisors is an integer number (787983660).

Almost surely, 232042422104 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 32042422104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50430954240).

32042422104 is an abundant number, since it is smaller than the sum of its proper divisors (68819486376).

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

32042422104 is a wasteful number, since it uses less digits than its factorization.

32042422104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171801 (or 171797 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 32042422104 its reverse (40122424023), we get a palindrome (72164846127).

It can be divided in two parts, 320 and 42422104, that added together give a palindrome (42422424).

The spelling of 32042422104 in words is "thirty-two billion, forty-two million, four hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 101 132 154 168 202 231 264 303 308 404 462 606 616 707 808 924 1111 1212 1414 1848 2121 2222 2424 2828 3333 4242 4444 5656 6666 7777 8484 8888 13332 15554 16968 23331 26664 31108 46662 62216 93324 171673 186648 343346 515019 686692 1030038 1201711 1373384 1888403 2060076 2403422 3605133 3776806 4120152 4806844 5665209 7210266 7553612 9613688 11330418 13218821 14420532 15107224 17338973 22660836 26437642 28841064 34677946 39656463 45321672 52016919 52875284 69355892 79312926 104033838 105750568 121372811 138711784 158625852 190728703 208067676 242745622 317251704 364118433 381457406 416135352 485491244 572186109 728236866 762914812 970982488 1144372218 1335100921 1456473732 1525829624 2288744436 2670201842 2912947464 4005302763 4577488872 5340403684 8010605526 10680807368 16021211052 32042422104