Search a number
-
+
4585240721340 = 2235547149199677
BaseRepresentation
bin100001010111001010110…
…1001001111011110111100
3121020100022022100201100000
41002232111221033132330
51100111033111040330
613430232553434300
7652162353030156
oct102562551173674
917210268321300
104585240721340
111508653939704
12620797a0b990
13273503a51156
1411bcd9341ad6
157e415213560
hex42b95a4f7bc

4585240721340 has 576 divisors, whose sum is σ = 14925980160000. Its totient is φ = 1180963390464.

The previous prime is 4585240721333. The next prime is 4585240721351. The reversal of 4585240721340 is 431270425854.

4585240721340 is a `hidden beast` number, since 4 + 5 + 8 + 524 + 0 + 72 + 13 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6772881082 + ... + 6772881758.

It is an arithmetic number, because the mean of its divisors is an integer number (25913160000).

Almost surely, 24585240721340 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 4585240721340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462990080000).

4585240721340 is an abundant number, since it is smaller than the sum of its proper divisors (10340739438660).

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

4585240721340 is a wasteful number, since it uses less digits than its factorization.

4585240721340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 4585240721340 in words is "four trillion, five hundred eighty-five billion, two hundred forty million, seven hundred twenty-one thousand, three hundred forty".