Search a number
-
+
4316457040 = 2457241107251
BaseRepresentation
bin1000000010100011…
…11110100001010000
3102010211011201220021
410001101332201100
532320003111130
61552152353224
7211652164600
oct40121764120
912124151807
104316457040
111915589075
12a056a5814
1353a3620bc
142cd3acc00
151a3e3537a
hex10147e850

4316457040 has 240 divisors, whose sum is σ = 12118849344. Its totient is φ = 1424640000.

The previous prime is 4316457011. The next prime is 4316457053. The reversal of 4316457040 is 407546134.

It is a junction number, because it is equal to n+sod(n) for n = 4316456987 and 4316457005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17196915 + ... + 17197165.

Almost surely, 24316457040 is an apocalyptic number.

4316457040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4316457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059424672).

4316457040 is an abundant number, since it is smaller than the sum of its proper divisors (7802392304).

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

4316457040 is a wasteful number, since it uses less digits than its factorization.

4316457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 4316457040 is about 65699.7491623827. The cubic root of 4316457040 is about 1628.2052133218.

The spelling of 4316457040 in words is "four billion, three hundred sixteen million, four hundred fifty-seven thousand, forty".