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14493439440 = 24325180111177
BaseRepresentation
bin11010111111110000…
…00101010111010000
31101102001222000020100
431133320011113100
5214140310030230
610354100412400
71022106126324
oct153770052720
941361860210
1014493439440
116168194627
1229859a7100
13149c907a8c
149b6c41984
1559c602660
hex35fe055d0

14493439440 has 120 divisors (see below), whose sum is σ = 48705184008. Its totient is φ = 3862425600.

The previous prime is 14493439409. The next prime is 14493439453. The reversal of 14493439440 is 4493439441.

14493439440 is a `hidden beast` number, since 144 + 9 + 34 + 39 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1481018256 + 13012421184 = 38484^2 + 114072^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291132 + ... + 1302308.

Almost surely, 214493439440 is an apocalyptic number.

14493439440 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 14493439440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24352592004).

14493439440 is an abundant number, since it is smaller than the sum of its proper divisors (34211744568).

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

14493439440 is a wasteful number, since it uses less digits than its factorization.

14493439440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12997 (or 12988 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

Subtracting from 14493439440 its reverse (4493439441), we obtain a palindrome (9999999999).

The spelling of 14493439440 in words is "fourteen billion, four hundred ninety-three million, four hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1801 3602 5403 7204 9005 10806 11177 14408 16209 18010 21612 22354 27015 28816 32418 33531 36020 43224 44708 54030 55885 64836 67062 72040 81045 86448 89416 100593 108060 111770 129672 134124 144080 162090 167655 178832 201186 216120 223540 259344 268248 324180 335310 402372 432240 447080 502965 536496 648360 670620 804744 894160 1005930 1296720 1341240 1609488 2011860 2682480 4023720 8047440 20129777 40259554 60389331 80519108 100648885 120778662 161038216 181167993 201297770 241557324 301946655 322076432 362335986 402595540 483114648 603893310 724671972 805191080 905839965 966229296 1207786620 1449343944 1610382160 1811679930 2415573240 2898687888 3623359860 4831146480 7246719720 14493439440