Search a number
-
+
12440969280 = 263351439927
BaseRepresentation
bin10111001011000101…
…00010000001000000
31012010000212201111000
423211202202001000
5200434342004110
65414301052000
7620204331315
oct134542420100
935100781430
1012440969280
11530466a3a3
1224b2557000
13123361bbac
14860408d0c
154cc3281c0
hex2e58a2040

12440969280 has 112 divisors (see below), whose sum is σ = 43889005440. Its totient is φ = 3317589504.

The previous prime is 12440969263. The next prime is 12440969311. The reversal of 12440969280 is 8296904421.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 711324 + ... + 728603.

It is an arithmetic number, because the mean of its divisors is an integer number (391866120).

Almost surely, 212440969280 is an apocalyptic number.

12440969280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12440969280 is an abundant number, since it is smaller than the sum of its proper divisors (31448036160).

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

12440969280 is a wasteful number, since it uses less digits than its factorization.

12440969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439953 (or 1439937 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12440969280 in words is "twelve billion, four hundred forty million, nine hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 1439927 2879854 4319781 5759708 7199635 8639562 11519416 12959343 14399270 17279124 21598905 23038832 25918686 28798540 34558248 38878029 43197810 46077664 51837372 57597080 64796715 69116496 77756058 86395620 92155328 103674744 115194160 129593430 138232992 155512116 172791240 194390145 207349488 230388320 259186860 276465984 311024232 345582480 388780290 414698976 460776640 518373720 622048464 691164960 777560580 829397952 1036747440 1244096928 1382329920 1555121160 2073494880 2488193856 3110242320 4146989760 6220484640 12440969280