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14241540131 = 7132361331337
BaseRepresentation
bin11010100001101110…
…01010100000100011
31100202111222012100022
431100313022200203
5213131313241011
610313101344055
71012630044110
oct152067124043
940674865308
1014241540131
116048a83985
12291556802b
13145c67ba30
149915cd907
155854458db
hex350dca823

14241540131 has 64 divisors (see below), whose sum is σ = 18701469696. Its totient is φ = 10538035200.

The previous prime is 14241540119. The next prime is 14241540133. The reversal of 14241540131 is 13104514241.

It is a de Polignac number, because none of the positive numbers 2k-14241540131 is a prime.

It is a super-2 number, since 2×142415401312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14241540131.

It is not an unprimeable number, because it can be changed into a prime (14241540133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42259595 + ... + 42259931.

It is an arithmetic number, because the mean of its divisors is an integer number (292210464).

Almost surely, 214241540131 is an apocalyptic number.

14241540131 is a deficient number, since it is larger than the sum of its proper divisors (4459929565).

14241540131 is a wasteful number, since it uses less digits than its factorization.

14241540131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772.

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 14241540131 in words is "fourteen billion, two hundred forty-one million, five hundred forty thousand, one hundred thirty-one".

Divisors: 1 7 13 23 61 91 161 299 331 337 427 793 1403 2093 2317 2359 4303 4381 5551 7613 7751 9821 18239 20191 20557 30121 30667 53291 54257 98969 100763 111547 127673 141337 143899 262483 267241 464393 472811 692783 705341 780829 1450111 1837381 1870687 2565581 3250751 3309677 6037109 6146543 6804367 10150777 17959067 33352553 42259763 43025801 47630569 88456771 156500441 233467871 619197397 1095503087 2034505733 14241540131