Search a number
-
+
140505004728 = 2337111315573
BaseRepresentation
bin1000001011011011000…
…0000011101010111000
3111102200000221210000000
42002312300003222320
54300223240122403
6144314101513000
713102562556204
oct2026660035270
9442600853000
10140505004728
1154651459720
1223292a12760
13103323aa06a
146b2c727b04
1539c52277a3
hex20b6c03ab8

140505004728 has 256 divisors, whose sum is σ = 434397427200. Its totient is φ = 42244675200.

The previous prime is 140505004699. The next prime is 140505004729. The reversal of 140505004728 is 827400505041.

140505004728 is a `hidden beast` number, since 1 + 40 + 50 + 500 + 47 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140505004692 and 140505004701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140505004729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25208950 + ... + 25214522.

It is an arithmetic number, because the mean of its divisors is an integer number (1696864950).

Almost surely, 2140505004728 is an apocalyptic number.

140505004728 is a gapful number since it is divisible by the number (18) 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 140505004728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217198713600).

140505004728 is an abundant number, since it is smaller than the sum of its proper divisors (293892422472).

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

140505004728 is a wasteful number, since it uses less digits than its factorization.

140505004728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 140505004728 its reverse (827400505041), we get a palindrome (967905509769).

The spelling of 140505004728 in words is "one hundred forty billion, five hundred five million, four thousand, seven hundred twenty-eight".