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2432144240141 = 711231101917113
BaseRepresentation
bin100011011001000111000…
…101111110111000001101
322121111210022110210211112
4203121013011332320031
5304322012411141031
65101151151501405
7340500541636640
oct43310705767015
98544708423745
102432144240141
11858515021600
12333448227865
13148472575145
1485a05b81a57
15433eb8a562b
hex2364717ee0d

2432144240141 has 48 divisors (see below), whose sum is σ = 3185041542144. Its totient is φ = 1815881760000.

The previous prime is 2432144240027. The next prime is 2432144240213. The reversal of 2432144240141 is 1410424412342.

It is not a de Polignac number, because 2432144240141 - 210 = 2432144239117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2432144240098 and 2432144240107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432144740141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193401 + ... + 3110513.

It is an arithmetic number, because the mean of its divisors is an integer number (66355032128).

Almost surely, 22432144240141 is an apocalyptic number.

It is an amenable number.

2432144240141 is a deficient number, since it is larger than the sum of its proper divisors (752897302003).

2432144240141 is a wasteful number, since it uses less digits than its factorization.

2432144240141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917274 (or 917263 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 2432144240141 its reverse (1410424412342), we get a palindrome (3842568652483).

The spelling of 2432144240141 in words is "two trillion, four hundred thirty-two billion, one hundred forty-four million, two hundred forty thousand, one hundred forty-one".

Divisors: 1 7 11 31 77 101 121 217 341 707 847 1111 2387 3131 3751 7777 12221 21917 26257 34441 85547 241087 378851 917113 2651957 6419791 10088243 28430503 70617701 92628413 110970673 199013521 312735533 648398891 776794711 1018912543 2189148731 2871480803 3440090863 7132387801 11208037973 20100365621 24080636041 31586288833 78456265811 221104021831 347449177163 2432144240141