Search a number
-
+
5464120140 = 2233531615351
BaseRepresentation
bin1010001011010111…
…11101101101001100
3112002210201001201000
411011223331231030
542142303321030
62302111020300
7252256153263
oct50553755514
915083631630
105464120140
112354398376
121085b0a690
136910605ab
1439b9975da
1521ea83860
hex145afdb4c

5464120140 has 192 divisors, whose sum is σ = 17838858240. Its totient is φ = 1386720000.

The previous prime is 5464120121. The next prime is 5464120147. The reversal of 5464120140 is 410214645.

5464120140 is a `hidden beast` number, since 5 + 4 + 641 + 2 + 0 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5464120147) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1018465 + ... + 1023815.

It is an arithmetic number, because the mean of its divisors is an integer number (92910720).

Almost surely, 25464120140 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 5464120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919429120).

5464120140 is an abundant number, since it is smaller than the sum of its proper divisors (12374738100).

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

5464120140 is a wasteful number, since it uses less digits than its factorization.

5464120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5464120140 is about 73919.6870934936. The cubic root of 5464120140 is about 1761.3273539725.

Adding to 5464120140 its reverse (410214645), we get a palindrome (5874334785).

The spelling of 5464120140 in words is "five billion, four hundred sixty-four million, one hundred twenty thousand, one hundred forty".