Search a number
-
+
4302140310240 = 25358962792313
BaseRepresentation
bin111110100110101011100…
…010111000001011100000
3120020021120112222202100220
4332212223202320023200
51030441240404411430
613052213113243040
7622551022162143
oct76465342701340
916207515882326
104302140310240
111409589059703
1259594a103480
132528c8189cb6
1410c32082205a
1576d964e5110
hex3e9ab8b82e0

4302140310240 has 48 divisors (see below), whose sum is σ = 13551741978768. Its totient is φ = 1147237415936.

The previous prime is 4302140310233. The next prime is 4302140310253. The reversal of 4302140310240 is 420130412034.

4302140310240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×43021403102402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4302140310240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4481395677 + ... + 4481396636.

It is an arithmetic number, because the mean of its divisors is an integer number (282327957891).

Almost surely, 24302140310240 is an apocalyptic number.

4302140310240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4302140310240 is an abundant number, since it is smaller than the sum of its proper divisors (9249601668528).

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

4302140310240 is a wasteful number, since it uses less digits than its factorization.

4302140310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962792331 (or 8962792323 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4302140310240 its reverse (420130412034), we get a palindrome (4722270722274).

The spelling of 4302140310240 in words is "four trillion, three hundred two billion, one hundred forty million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8962792313 17925584626 26888376939 35851169252 44813961565 53776753878 71702338504 89627923130 107553507756 134441884695 143404677008 179255846260 215107015512 268883769390 286809354016 358511692520 430214031024 537767538780 717023385040 860428062048 1075535077560 1434046770080 2151070155120 4302140310240