Search a number
-
+
32014022320 = 2457439130223
BaseRepresentation
bin11101110100001011…
…110011011010110000
310001122010000211121101
4131310023303122300
51011031042203240
622412415334144
72212223462020
oct356413633260
9101563024541
1032014022320
1112639098895
126255521354
13303270ba97
141799b13a80
15c7585b39a
hex7742f36b0

32014022320 has 80 divisors (see below), whose sum is σ = 85260257280. Its totient is φ = 10951149312.

The previous prime is 32014022281. The next prime is 32014022401. The reversal of 32014022320 is 2322041023.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 180729 + ... + 310951.

It is an arithmetic number, because the mean of its divisors is an integer number (1065753216).

Almost surely, 232014022320 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 32014022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42630128640).

32014022320 is an abundant number, since it is smaller than the sum of its proper divisors (53246234960).

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

32014022320 is a wasteful number, since it uses less digits than its factorization.

32014022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130682 (or 130676 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 32014022320 its reverse (2322041023), we get a palindrome (34336063343).

The spelling of 32014022320 in words is "thirty-two billion, fourteen million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 439 560 878 1756 2195 3073 3512 4390 6146 7024 8780 12292 15365 17560 24584 30730 35120 49168 61460 122920 130223 245840 260446 520892 651115 911561 1041784 1302230 1823122 2083568 2604460 3646244 4557805 5208920 7292488 9115610 10417840 14584976 18231220 36462440 57167897 72924880 114335794 228671588 285839485 400175279 457343176 571678970 800350558 914686352 1143357940 1600701116 2000876395 2286715880 3201402232 4001752790 4573431760 6402804464 8003505580 16007011160 32014022320