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14154535120 = 24511149107951
BaseRepresentation
bin11010010111010110…
…10001000011010000
31100112110020212220111
431023223101003100
5212442030110440
610300312451104
71010522364145
oct151353210320
940473225814
1014154535120
116003958810
1228b03a9a94
13144763808b
14983c223cc
1557c9ab4ea
hex34bad10d0

14154535120 has 80 divisors (see below), whose sum is σ = 36142329600. Its totient is φ = 5112512000.

The previous prime is 14154535097. The next prime is 14154535123. The reversal of 14154535120 is 2153545141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14154535123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77145 + ... + 185095.

It is an arithmetic number, because the mean of its divisors is an integer number (451779120).

Almost surely, 214154535120 is an apocalyptic number.

14154535120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14154535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071164800).

14154535120 is an abundant number, since it is smaller than the sum of its proper divisors (21987794480).

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

14154535120 is a wasteful number, since it uses less digits than its factorization.

14154535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108124 (or 108118 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 14154535120 in words is "fourteen billion, one hundred fifty-four million, five hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 298 440 596 745 880 1192 1490 1639 2384 2980 3278 5960 6556 8195 11920 13112 16390 26224 32780 65560 107951 131120 215902 431804 539755 863608 1079510 1187461 1727216 2159020 2374922 4318040 4749844 5937305 8636080 9499688 11874610 16084699 18999376 23749220 32169398 47498440 64338796 80423495 94996880 128677592 160846990 176931689 257355184 321693980 353863378 643387960 707726756 884658445 1286775920 1415453512 1769316890 2830907024 3538633780 7077267560 14154535120