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11456445440 = 210511203417
BaseRepresentation
bin10101010101101101…
…10111110000000000
31002120102022201200002
422222312313300000
5141430322223230
65132451215132
7553621115366
oct125266676000
932512281602
1011456445440
114949957030
1222788a74a8
13110766cccb
147a9769636
15470ba2545
hex2aadb7c00

11456445440 has 88 divisors (see below), whose sum is σ = 29980558512. Its totient is φ = 4165959680.

The previous prime is 11456445373. The next prime is 11456445479. The reversal of 11456445440 is 4454465411.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 11456445394 and 11456445403.

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, 45389 + ... + 158028.

Almost surely, 211456445440 is an apocalyptic number.

11456445440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456445440 is an abundant number, since it is smaller than the sum of its proper divisors (18524113072).

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

11456445440 is a wasteful number, since it uses less digits than its factorization.

11456445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203453 (or 203435 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 11456445440 in words is "eleven billion, four hundred fifty-six million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 203417 406834 813668 1017085 1627336 2034170 2237587 3254672 4068340 4475174 6509344 8136680 8950348 11187935 13018688 16273360 17900696 22375870 26037376 32546720 35801392 44751740 52074752 65093440 71602784 89503480 104149504 130186880 143205568 179006960 208299008 260373760 286411136 358013920 520747520 572822272 716027840 1041495040 1145644544 1432055680 2291289088 2864111360 5728222720 11456445440