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2434232320140 = 2235174123303009
BaseRepresentation
bin100011011011000011100…
…011011000000010001100
322121201011211120021002210
4203123003203120002030
5304340301433221030
65102134302350420
7340603355216505
oct43330343300214
98551154507083
102434232320140
11859396758a55
1233392b58b410
1314871604b53a
1485b63207bac
15434bed65bb0
hex236c38d808c

2434232320140 has 48 divisors (see below), whose sum is σ = 6819765694560. Its totient is φ = 648755742720.

The previous prime is 2434232320073. The next prime is 2434232320181. The reversal of 2434232320140 is 410232324342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2434232320098 and 2434232320107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11547045 + ... + 11755964.

It is an arithmetic number, because the mean of its divisors is an integer number (142078451970).

Almost surely, 22434232320140 is an apocalyptic number.

2434232320140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434232320140 is an abundant number, since it is smaller than the sum of its proper divisors (4385533374420).

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

2434232320140 is a wasteful number, since it uses less digits than its factorization.

2434232320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23304762 (or 23304760 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2434232320140 its reverse (410232324342), we get a palindrome (2844464644482).

The spelling of 2434232320140 in words is "two trillion, four hundred thirty-four billion, two hundred thirty-two million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1741 3482 5223 6964 8705 10446 17410 20892 26115 34820 52230 104460 23303009 46606018 69909027 93212036 116515045 139818054 233030090 279636108 349545135 466060180 699090270 1398180540 40570538669 81141077338 121711616007 162282154676 202852693345 243423232014 405705386690 486846464028 608558080035 811410773380 1217116160070 2434232320140