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14454513120 = 253530113569
BaseRepresentation
bin11010111011000111…
…00101110111100000
31101022100201100100210
431131203211313200
5214100323404440
610350150214120
71021124222445
oct153543456740
941270640323
1014454513120
116148217713
122974954340
131494828b58
149b19cb9cc
15598eb3a80
hex35d8e5de0

14454513120 has 48 divisors (see below), whose sum is σ = 45531717840. Its totient is φ = 3854536704.

The previous prime is 14454513119. The next prime is 14454513133. The reversal of 14454513120 is 2131545441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 15056305 + ... + 15057264.

It is an arithmetic number, because the mean of its divisors is an integer number (948577455).

Almost surely, 214454513120 is an apocalyptic number.

14454513120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14454513120 is an abundant number, since it is smaller than the sum of its proper divisors (31077204720).

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

14454513120 is a wasteful number, since it uses less digits than its factorization.

14454513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30113587 (or 30113579 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 14454513120 in words is "fourteen billion, four hundred fifty-four million, five hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 30113569 60227138 90340707 120454276 150567845 180681414 240908552 301135690 361362828 451703535 481817104 602271380 722725656 903407070 963634208 1204542760 1445451312 1806814140 2409085520 2890902624 3613628280 4818171040 7227256560 14454513120