Search a number
-
+
420234421432 = 237191379712969
BaseRepresentation
bin1100001110101111110…
…11000110010010111000
31111011200212012110222211
412013113323012102320
523341120002441212
6521015242024504
742234541434220
oct6072773062270
91434625173884
10420234421432
11152247414741
126953b7a8134
1330821762887
14164a766b080
15ade801c9a7
hex61d7ec64b8

420234421432 has 128 divisors (see below), whose sum is σ = 956121408000. Its totient is φ = 169144657920.

The previous prime is 420234421333. The next prime is 420234421463. The reversal of 420234421432 is 234124432024.

It is a junction number, because it is equal to n+sod(n) for n = 420234421394 and 420234421403.

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, 141539244 + ... + 141542212.

It is an arithmetic number, because the mean of its divisors is an integer number (7469698500).

Almost surely, 2420234421432 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 420234421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478060704000).

420234421432 is an abundant number, since it is smaller than the sum of its proper divisors (535886986568).

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

420234421432 is a wasteful number, since it uses less digits than its factorization.

420234421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 420234421432 its reverse (234124432024), we get a palindrome (654358853456).

The spelling of 420234421432 in words is "four hundred twenty billion, two hundred thirty-four million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 137 152 266 274 532 548 959 971 1064 1096 1918 1942 2603 2969 3836 3884 5206 5938 6797 7672 7768 10412 11876 13594 18221 18449 20783 20824 23752 27188 36442 36898 41566 54376 56411 72884 73796 83132 112822 129143 133027 145768 147592 166264 225644 258286 266054 394877 406753 451288 516572 532108 789754 813506 931189 1033144 1064216 1579508 1627012 1862378 2527513 2847271 2882899 3159016 3254024 3724756 5055026 5694542 5765798 7449512 7728307 10110052 11389084 11531596 15456614 17692591 20180293 20220104 22778168 23063192 30913228 35385182 40360586 54098149 54775081 61826456 70770364 80721172 108196298 109550162 141540728 161442344 216392596 219100324 383425567 394957163 432785192 438200648 766851134 789914326 1533702268 1579828652 2764700141 3067404536 3159657304 5529400282 7504186097 11058800564 15008372194 22117601128 30016744388 52529302679 60033488776 105058605358 210117210716 420234421432