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11404445712 = 2431143914919
BaseRepresentation
bin10101001111100001…
…00000100000010000
31002102210110212110020
422213300200200100
5141324014230322
65123352503440
7552420121602
oct124760404020
932383425406
1011404445712
11492256a950
1222633aab80
1310c996463a
147a28b1172
1546b33005c
hex2a7c20810

11404445712 has 80 divisors (see below), whose sum is σ = 32153656320. Its totient is φ = 3454403200.

The previous prime is 11404445693. The next prime is 11404445743. The reversal of 11404445712 is 21754440411.

It is a super-2 number, since 2×114044457122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315989 + ... + 2320907.

It is an arithmetic number, because the mean of its divisors is an integer number (401920704).

Almost surely, 211404445712 is an apocalyptic number.

11404445712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11404445712 is an abundant number, since it is smaller than the sum of its proper divisors (20749210608).

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

11404445712 is a wasteful number, since it uses less digits than its factorization.

11404445712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9326 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 11404445712 in words is "eleven billion, four hundred four million, four hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4391 4919 8782 9838 13173 14757 17564 19676 26346 29514 35128 39352 48301 52692 54109 59028 70256 78704 96602 105384 108218 118056 144903 162327 193204 210768 216436 236112 289806 324654 386408 432872 579612 649308 772816 865744 1159224 1298616 2318448 2597232 21599329 43198658 64797987 86397316 129595974 172794632 237592619 259191948 345589264 475185238 518383896 712777857 950370476 1036767792 1425555714 1900740952 2851111428 3801481904 5702222856 11404445712