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14145450120 = 2333513097639
BaseRepresentation
bin11010010110010001…
…00111000010001000
31100111211011022122000
431023020213002020
5212432213400440
610255350031000
71010352225234
oct151310470210
940454138560
1014145450120
115aa981304a
1228a9348460
1314457a6b39
149829395c4
1557bcb4730
hex34b227088

14145450120 has 64 divisors (see below), whose sum is σ = 47151504000. Its totient is φ = 3772119744.

The previous prime is 14145450103. The next prime is 14145450127. The reversal of 14145450120 is 2105454141.

14145450120 is a `hidden beast` number, since 1 + 41 + 454 + 50 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14145450127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6547740 + ... + 6549899.

It is an arithmetic number, because the mean of its divisors is an integer number (736742250).

Almost surely, 214145450120 is an apocalyptic number.

14145450120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14145450120 is an abundant number, since it is smaller than the sum of its proper divisors (33006053880).

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

14145450120 is a wasteful number, since it uses less digits than its factorization.

14145450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097659 (or 13097649 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 14145450120 in words is "fourteen billion, one hundred forty-five million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 13097639 26195278 39292917 52390556 65488195 78585834 104781112 117878751 130976390 157171668 196464585 235757502 261952780 314343336 353636253 392929170 471515004 523905560 589393755 707272506 785858340 943030008 1178787510 1414545012 1571716680 1768181265 2357575020 2829090024 3536362530 4715150040 7072725060 14145450120