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14412103040 = 275143915649
BaseRepresentation
bin11010110110000011…
…10011110110000000
31101012101220200200002
431123001303312000
5214003444244130
610342033215132
71020100566056
oct153301636600
941171820602
1014412103040
116126290365
1229627014a8
131488aca32a
149aa10c1d6
155953d7b45
hex35b073d80

14412103040 has 64 divisors (see below), whose sum is σ = 34480080000. Its totient is φ = 5760466944.

The previous prime is 14412103021. The next prime is 14412103091. The reversal of 14412103040 is 4030121441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 913136 + ... + 928784.

It is an arithmetic number, because the mean of its divisors is an integer number (538751250).

Almost surely, 214412103040 is an apocalyptic number.

14412103040 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 14412103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240040000).

14412103040 is an abundant number, since it is smaller than the sum of its proper divisors (20067976960).

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

14412103040 is a wasteful number, since it uses less digits than its factorization.

14412103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17107 (or 17095 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14412103040 its reverse (4030121441), we get a palindrome (18442224481).

The spelling of 14412103040 in words is "fourteen billion, four hundred twelve million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1439 2878 5756 7195 11512 14390 15649 23024 28780 31298 46048 57560 62596 78245 92096 115120 125192 156490 184192 230240 250384 312980 460480 500768 625960 920960 1001536 1251920 2003072 2503840 5007680 10015360 22518911 45037822 90075644 112594555 180151288 225189110 360302576 450378220 720605152 900756440 1441210304 1801512880 2882420608 3603025760 7206051520 14412103040