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14042047441984 = 26383212232
BaseRepresentation
bin1100110001010110101100…
…1111111110110001000000
31211201101222102121022122121
43030111223033332301000
53320031103121120414
645510454425414024
72646335011615012
oct314255317766100
954641872538577
1014042047441984
114524220784141
1216a953933a314
137ab20c251833
143678d29241b2
151953ec519724
hexcc56b3fec40

14042047441984 has 63 divisors (see below), whose sum is σ = 27960493808263. Its totient is φ = 6996966234752.

The previous prime is 14042047441969. The next prime is 14042047441999. The reversal of 14042047441984 is 48914474024041.

The square root of 14042047441984 is 3747272.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (14042047441969) and next prime (14042047441999).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11481640797 + ... + 11481642019.

Almost surely, 214042047441984 is an apocalyptic number.

14042047441984 is the 3747272-nd square number.

It is an amenable number.

14042047441984 is a deficient number, since it is larger than the sum of its proper divisors (13918446366279).

14042047441984 is an frugal number, since it uses more digits than its factorization.

14042047441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 52.

It can be divided in two parts, 140420 and 47441984, that added together give a square (47582404 = 68982).

The spelling of 14042047441984 in words is "fourteen trillion, forty-two billion, forty-seven million, four hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 383 766 1223 1532 2446 3064 4892 6128 9784 12256 19568 24512 39136 78272 146689 293378 468409 586756 936818 1173512 1495729 1873636 2347024 2991458 3747272 4694048 5982916 7494544 9388096 11965832 14989088 23931664 29978176 47863328 95726656 179400647 358801294 572864207 717602588 1145728414 1435205176 2291456828 2870410352 4582913656 5740820704 9165827312 11481641408 18331654624 36663309248 219406991281 438813982562 877627965124 1755255930248 3510511860496 7021023720992 14042047441984