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14371227648 = 211328832
BaseRepresentation
bin11010110001001011…
…11000100000000000
31101002120000000011200
431120211320200000
5213413013241043
610334013141200
71016063263611
oct153045704000
941076000150
1014371227648
116105202048
122950a8a800
1314804b81cb
149a490bc08
15591a117d3
hex358978800

14371227648 has 108 divisors (see below), whose sum is σ = 41553803655. Its totient is φ = 4784984064.

The previous prime is 14371227631. The next prime is 14371227697. The reversal of 14371227648 is 84672217341.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14371227648 is a `hidden beast` number, since 1 + 4 + 371 + 2 + 276 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7185613824 + 7185613824 = 84768^2 + 84768^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=84768.

It is a super-2 number, since 2×143712276482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16275015 + ... + 16275897.

Almost surely, 214371227648 is an apocalyptic number.

14371227648 is a gapful number since it is divisible by the number (18) 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 14371227648

14371227648 is an abundant number, since it is smaller than the sum of its proper divisors (27182576007).

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

14371227648 is an frugal number, since it uses more digits than its factorization.

14371227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 888 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 14371227648 in words is "fourteen billion, three hundred seventy-one million, two hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 883 1024 1152 1536 1766 2048 2304 2649 3072 3532 4608 5298 6144 7064 7947 9216 10596 14128 15894 18432 21192 28256 31788 42384 56512 63576 84768 113024 127152 169536 226048 254304 339072 452096 508608 678144 779689 904192 1017216 1356288 1559378 1808384 2034432 2339067 2712576 3118756 4068864 4678134 5425152 6237512 7017201 8137728 9356268 12475024 14034402 16275456 18712536 24950048 28068804 37425072 49900096 56137608 74850144 99800192 112275216 149700288 199600384 224550432 299400576 399200768 449100864 598801152 798401536 898201728 1197602304 1596803072 1796403456 2395204608 3592806912 4790409216 7185613824 14371227648