Search a number
-
+
432396997140 = 223535920074141
BaseRepresentation
bin1100100101011001101…
…11101001001000010100
31112100002111020100021210
412102230313221020110
524041022112402030
6530350200141420
743145125555503
oct6225467511024
91470074210253
10432396997140
111574189178a9
126b974a67870
1331a0c4aa334
1416cdcac883a
15b3aaba3bb0
hex64acde9214

432396997140 has 48 divisors (see below), whose sum is σ = 1214084108160. Its totient is φ = 114984673920.

The previous prime is 432396997111. The next prime is 432396997163. The reversal of 432396997140 is 41799693234.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10015531 + ... + 10058610.

It is an arithmetic number, because the mean of its divisors is an integer number (25293418920).

Almost surely, 2432396997140 is an apocalyptic number.

It is an amenable number.

432396997140 is an abundant number, since it is smaller than the sum of its proper divisors (781687111020).

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

432396997140 is a wasteful number, since it uses less digits than its factorization.

432396997140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20074512 (or 20074510 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 432396997140 in words is "four hundred thirty-two billion, three hundred ninety-six million, nine hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 359 718 1077 1436 1795 2154 3590 4308 5385 7180 10770 21540 20074141 40148282 60222423 80296564 100370705 120444846 200741410 240889692 301112115 401482820 602224230 1204448460 7206616619 14413233238 21619849857 28826466476 36033083095 43239699714 72066166190 86479399428 108099249285 144132332380 216198498570 432396997140