Search a number
-
+
32430031040 = 2651173312569
BaseRepresentation
bin11110001100111110…
…110000000011000000
310002201002211021021202
4132030332300003000
51012404041443130
622522000040332
72225434500311
oct361476600300
9102632737252
1032430031040
11128319a8350
1263509030a8
13309a966ba4
1417d9084608
15c9c133145
hex78cfb00c0

32430031040 has 112 divisors (see below), whose sum is σ = 84366018720. Its totient is φ = 11775713280.

The previous prime is 32430031009. The next prime is 32430031043. The reversal of 32430031040 is 4013003423.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (32430031043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2573876 + ... + 2586444.

Almost surely, 232430031040 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 32430031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42183009360).

32430031040 is an abundant number, since it is smaller than the sum of its proper divisors (51935987680).

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

32430031040 is a wasteful number, since it uses less digits than its factorization.

32430031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13330 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32430031040 its reverse (4013003423), we get a palindrome (36443034463).

The spelling of 32430031040 in words is "thirty-two billion, four hundred thirty million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 733 880 1466 1760 2932 3520 3665 5864 7330 8063 11728 12569 14660 16126 23456 25138 29320 32252 40315 46912 50276 58640 62845 64504 80630 100552 117280 125690 129008 138259 161260 201104 234560 251380 258016 276518 322520 402208 502760 516032 553036 645040 691295 804416 1005520 1106072 1290080 1382590 2011040 2212144 2580160 2765180 4022080 4424288 5530360 8848576 9213077 11060720 18426154 22121440 36852308 44242880 46065385 73704616 92130770 101343847 147409232 184261540 202687694 294818464 368523080 405375388 506719235 589636928 737046160 810750776 1013438470 1474092320 1621501552 2026876940 2948184640 3243003104 4053753880 6486006208 8107507760 16215015520 32430031040