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14856355840 = 217522669
BaseRepresentation
bin11011101011000001…
…00000000000000000
31102100100212001221111
431311200200000000
5220411211341330
610454103133104
71034103640534
oct156540400000
942310761844
1014856355840
116334031037
122a67444194
131529b64101
14a0d111bc4
155be3dd32a
hex375820000

14856355840 has 72 divisors (see below), whose sum is σ = 35656690860. Its totient is φ = 5942280192.

The previous prime is 14856355817. The next prime is 14856355849. The reversal of 14856355840 is 4855365841.

It can be written as a sum of positive squares in 2 ways, for example, as 14048886784 + 807469056 = 118528^2 + 28416^2 .

It is a super-2 number, since 2×148563558402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14856355849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 644026 + ... + 666694.

Almost surely, 214856355840 is an apocalyptic number.

14856355840 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 14856355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17828345430).

14856355840 is an abundant number, since it is smaller than the sum of its proper divisors (20800335020).

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

14856355840 is an frugal number, since it uses more digits than its factorization.

14856355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22708 (or 22676 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 49.

The spelling of 14856355840 in words is "fourteen billion, eight hundred fifty-six million, three hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 22669 32768 40960 45338 65536 81920 90676 113345 131072 163840 181352 226690 327680 362704 453380 655360 725408 906760 1450816 1813520 2901632 3627040 5803264 7254080 11606528 14508160 23213056 29016320 46426112 58032640 92852224 116065280 185704448 232130560 371408896 464261120 742817792 928522240 1485635584 1857044480 2971271168 3714088960 7428177920 14856355840