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14218844416 = 28715750539
BaseRepresentation
bin11010011111000001…
…00101100100000000
31100200221021010200021
431033200211210000
5213110011010131
610310531103224
71012233116620
oct151740454400
940627233607
1014218844416
116037192297
122909a41b14
131457a6360a
1498c5a2880
15583460e11
hex34f825900

14218844416 has 72 divisors (see below), whose sum is σ = 32643988160. Its totient is φ = 6054856704.

The previous prime is 14218844401. The next prime is 14218844501. The reversal of 14218844416 is 61444881241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256075 + ... + 306613.

Almost surely, 214218844416 is an apocalyptic number.

14218844416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14218844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321994080).

14218844416 is an abundant number, since it is smaller than the sum of its proper divisors (18425143744).

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

14218844416 is an equidigital number, since it uses as much as digits as its factorization.

14218844416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50719 (or 50705 counting only the distinct ones).

The product of its digits is 196608, while the sum is 43.

The spelling of 14218844416 in words is "fourteen billion, two hundred eighteen million, eight hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 256 314 448 628 896 1099 1256 1792 2198 2512 4396 5024 8792 10048 17584 20096 35168 40192 50539 70336 101078 140672 202156 281344 353773 404312 707546 808624 1415092 1617248 2830184 3234496 5660368 6468992 7934623 11320736 12937984 15869246 22641472 31738492 45282944 55542361 63476984 90565888 111084722 126953968 222169444 253907936 444338888 507815872 888677776 1015631744 1777355552 2031263488 3554711104 7109422208 14218844416