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14057026816 = 28739719759
BaseRepresentation
bin11010001011101110…
…10011010100000000
31100021122202221122211
431011313103110000
5212242044324231
610242510511504
71005226520320
oct150567232400
940248687584
1014057026816
115a63909338
122883805594
131430387761
14974cbd280
15574149eb1
hex345dd3500

14057026816 has 72 divisors (see below), whose sum is σ = 32149994240. Its totient is φ = 6008961024.

The previous prime is 14057026801. The next prime is 14057026831. The reversal of 14057026816 is 61862075041.

It is an interprime number because it is at equal distance from previous prime (14057026801) and next prime (14057026831).

It is a super-3 number, since 3×140570268163 (a number of 31 digits) contains 333 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, 701545 + ... + 721303.

Almost surely, 214057026816 is an apocalyptic number.

14057026816 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 14057026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074997120).

14057026816 is an abundant number, since it is smaller than the sum of its proper divisors (18092967424).

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

14057026816 is an equidigital number, since it uses as much as digits as its factorization.

14057026816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20179 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 14057026816 in words is "fourteen billion, fifty-seven million, twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 397 448 794 896 1588 1792 2779 3176 5558 6352 11116 12704 19759 22232 25408 39518 44464 50816 79036 88928 101632 138313 158072 177856 276626 316144 355712 553252 632288 711424 1106504 1264576 2213008 2529152 4426016 5058304 7844323 8852032 15688646 17704064 31377292 35408128 54910261 62754584 109820522 125509168 219641044 251018336 439282088 502036672 878564176 1004073344 1757128352 2008146688 3514256704 7028513408 14057026816