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14001224412320 = 255267732688701
BaseRepresentation
bin1100101110111110101000…
…0000011110110010100000
31211120111121101212112200222
43023233222000132302200
53313344001422143240
645440023530302212
72643361251602555
oct313575200366240
954514541775628
1014001224412320
1145089821957a2
1216a1645887968
137a7404814c92
1436593cd14a2c
1519430d65beb5
hexcbbea01eca0

14001224412320 has 48 divisors (see below), whose sum is σ = 33090250015368. Its totient is φ = 5598397516800.

The previous prime is 14001224412319. The next prime is 14001224412349. The reversal of 14001224412320 is 2321442210041.

It can be written as a sum of positive squares in 4 ways, for example, as 5763245256976 + 8237979155344 = 2400676^2 + 2870188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14001224412320.

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, 15916031 + ... + 16772670.

Almost surely, 214001224412320 is an apocalyptic number.

14001224412320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001224412320 is an abundant number, since it is smaller than the sum of its proper divisors (19089025603048).

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

14001224412320 is a wasteful number, since it uses less digits than its factorization.

14001224412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32691393 (or 32691385 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14001224412320 its reverse (2321442210041), we get a palindrome (16322666622361).

The spelling of 14001224412320 in words is "fourteen trillion, one billion, two hundred twenty-four million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2677 5354 10708 13385 21416 26770 42832 53540 85664 107080 214160 428320 32688701 65377402 130754804 163443505 261509608 326887010 523019216 653774020 1046038432 1307548040 2615096080 5230192160 87507652577 175015305154 350030610308 437538262885 700061220616 875076525770 1400122441232 1750153051540 2800244882464 3500306103080 7000612206160 14001224412320