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130040042144 = 2552359313103
BaseRepresentation
bin111100100011011111…
…1011001001010100000
3110102122201021121010012
41321012333121022200
54112310222322034
6135423425224052
712252341056205
oct1710677311240
9412581247105
10130040042144
1150171239411
1221252192028
13c3552845cc
14641892dcac
1535b1622cce
hex1e46fd92a0

130040042144 has 48 divisors (see below), whose sum is σ = 256958013312. Its totient is φ = 64781319168.

The previous prime is 130040042123. The next prime is 130040042173. The reversal of 130040042144 is 441240040031.

It is a happy number.

It is a super-2 number, since 2×1300400421442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9917897 + ... + 9930999.

It is an arithmetic number, because the mean of its divisors is an integer number (5353291944).

Almost surely, 2130040042144 is an apocalyptic number.

It is an amenable number.

130040042144 is a deficient number, since it is larger than the sum of its proper divisors (126917971168).

130040042144 is a wasteful number, since it uses less digits than its factorization.

130040042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14229 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 130040042144 its reverse (441240040031), we get a palindrome (571280082175).

The spelling of 130040042144 in words is "one hundred thirty billion, forty million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 523 593 1046 1186 2092 2372 4184 4744 8368 9488 13103 16736 18976 26206 52412 104824 209648 310139 419296 620278 1240556 2481112 4962224 6852869 7770079 9924448 13705738 15540158 27411476 31080316 54822952 62160632 109645904 124321264 219291808 248642528 4063751317 8127502634 16255005268 32510010536 65020021072 130040042144