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14045453640 = 2332541951589
BaseRepresentation
bin11010001010010110…
…01001110101001000
31100020211222222020200
431011023021311020
5212231114004030
610241414452200
71005026246301
oct150513116510
940224888220
1014045453640
115a58324229
12287b964060
13142ab64b1a
149735497a8
15573110d60
hex3452c9d48

14045453640 has 96 divisors (see below), whose sum is σ = 46761132600. Its totient is φ = 3654097920.

The previous prime is 14045453579. The next prime is 14045453647. The reversal of 14045453640 is 4635454041.

14045453640 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 5 + 4 + 5 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9519124356 + 4526329284 = 97566^2 + 67278^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14045453595 and 14045453604.

It is not an unprimeable number, because it can be changed into a prime (14045453647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461035 + ... + 490554.

Almost surely, 214045453640 is an apocalyptic number.

14045453640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14045453640 is an abundant number, since it is smaller than the sum of its proper divisors (32715678960).

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

14045453640 is a wasteful number, since it uses less digits than its factorization.

14045453640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951647 (or 951640 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 14045453640 in words is "fourteen billion, forty-five million, four hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 951589 1903178 2854767 3806356 4757945 5709534 7612712 8564301 9515890 11419068 14273835 17128602 19031780 22838136 28547670 34257204 38063560 39015149 42821505 57095340 68514408 78030298 85643010 114190680 117045447 156060596 171286020 195075745 234090894 312121192 342572040 351136341 390151490 468181788 585227235 702272682 780302980 936363576 1170454470 1404545364 1560605960 1755681705 2340908940 2809090728 3511363410 4681817880 7022726820 14045453640