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14144149102128 = 2431953292621423
BaseRepresentation
bin1100110111010011000011…
…1110111001111000110000
31212002011112001220001121220
43031310300332321320300
53323214204132232003
650025422110345040
72656611125453403
oct315646076717060
955064461801556
1014144149102128
114563555481651
121705292abb180
137b7a312b0956
1436c81ab43d3a
15197dc5ee8353
hexcdd30fb9e30

14144149102128 has 80 divisors (see below), whose sum is σ = 39187861102080. Its totient is φ = 4382298415872.

The previous prime is 14144149102063. The next prime is 14144149102133. The reversal of 14144149102128 is 82120194144141.

It is a self number, because there is not a number n which added to its sum of digits gives 14144149102128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146262376 + ... + 146359047.

It is an arithmetic number, because the mean of its divisors is an integer number (489848263776).

Almost surely, 214144149102128 is an apocalyptic number.

It is an amenable number.

14144149102128 is an abundant number, since it is smaller than the sum of its proper divisors (25043711999952).

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

14144149102128 is a wasteful number, since it uses less digits than its factorization.

14144149102128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292621506 (or 292621500 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 14144149102128 in words is "fourteen trillion, one hundred forty-four billion, one hundred forty-nine million, one hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 1007 1272 2014 2544 3021 4028 6042 8056 12084 16112 24168 48336 292621423 585242846 877864269 1170485692 1755728538 2340971384 3511457076 4681942768 5559807037 7022914152 11119614074 14045828304 15508935419 16679421111 22239228148 31017870838 33358842222 44478456296 46526806257 62035741676 66717684444 88956912592 93053612514 124071483352 133435368888 186107225028 248142966704 266870737776 294669772961 372214450056 589339545922 744428900112 884009318883 1178679091844 1768018637766 2357358183688 3536037275532 4714716367376 7072074551064 14144149102128