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12441328480 = 255711108329
BaseRepresentation
bin10111001011000111…
…11001101101100000
31012010001112222012201
423211203321231200
5200434440002410
65414312502544
7620210355460
oct134543715540
935101488181
1012441328480
115304895259
1224b26aaa54
131233716539
1486049dba0
154cc39983a
hex2e58f9b60

12441328480 has 48 divisors (see below), whose sum is σ = 33591589920. Its totient is φ = 4265597952.

The previous prime is 12441328469. The next prime is 12441328507. The reversal of 12441328480 is 8482314421.

It is a super-2 number, since 2×124413284802 (a number of 21 digits) contains 22 as substring.

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, 5553045 + ... + 5555284.

It is an arithmetic number, because the mean of its divisors is an integer number (699824790).

Almost surely, 212441328480 is an apocalyptic number.

12441328480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441328480 is an abundant number, since it is smaller than the sum of its proper divisors (21150261440).

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

12441328480 is a wasteful number, since it uses less digits than its factorization.

12441328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11108351 (or 11108343 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 12441328480 in words is "twelve billion, four hundred forty-one million, three hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 11108329 22216658 44433316 55541645 77758303 88866632 111083290 155516606 177733264 222166580 311033212 355466528 388791515 444333160 622066424 777583030 888666320 1244132848 1555166060 1777332640 2488265696 3110332120 6220664240 12441328480