Search a number
-
+
4770109440 = 21138571
BaseRepresentation
bin1000111000101001…
…00001100000000000
3110022102210200000000
410130110201200000
534232122000230
62105200000000
7226131155415
oct43424414000
913272720000
104770109440
112028669908
12b11600000
135b033a385
1433373c10c
151cdb95b60
hex11c521800

4770109440 has 432 divisors, whose sum is σ = 17409122640. Its totient is φ = 1254113280.

The previous prime is 4770109417. The next prime is 4770109471. The reversal of 4770109440 is 449010774.

4770109440 is a `hidden beast` number, since 47 + 70 + 109 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×47701094402 = 45507888139154227200, which contains 22 as substring.

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 = 4770109395 and 4770109404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67184605 + ... + 67184675.

It is an arithmetic number, because the mean of its divisors is an integer number (40298895).

Almost surely, 24770109440 is an apocalyptic number.

4770109440 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 4770109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704561320).

4770109440 is an abundant number, since it is smaller than the sum of its proper divisors (12639013200).

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

4770109440 is an frugal number, since it uses more digits than its factorization.

4770109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4770109440 is about 69065.9788897544. The cubic root of 4770109440 is about 1683.3565546144.

The spelling of 4770109440 in words is "four billion, seven hundred seventy million, one hundred nine thousand, four hundred forty".