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14215570354000 = 245339718019941
BaseRepresentation
bin1100111011011101001000…
…0001010110111101010000
31212022222212112120120112201
43032313102001112331100
53330401442002312000
650122313131532544
72665020041210461
oct316672201267520
955288775516481
1014215570354000
114590875958244
1217170a58ba154
137c16a4007c32
14372074400d68
15199ba629a96a
hexcedd2056f50

14215570354000 has 160 divisors (see below), whose sum is σ = 34482433688352. Its totient is φ = 5668185600000.

The previous prime is 14215570353997. The next prime is 14215570354039. The reversal of 14215570354000 is 45307551241.

14215570354000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 14154871191616 + 60699162384 = 3762296^2 + 246372^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429989030 + ... + 1429998970.

Almost surely, 214215570354000 is an apocalyptic number.

14215570354000 is a gapful number since it is divisible by the number (10) 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 14215570354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241216844176).

14215570354000 is an abundant number, since it is smaller than the sum of its proper divisors (20266863334352).

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

14215570354000 is a wasteful number, since it uses less digits than its factorization.

14215570354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12162 (or 12146 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The spelling of 14215570354000 in words is "fourteen trillion, two hundred fifteen billion, five hundred seventy million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 397 400 500 794 1000 1588 1801 1985 2000 3176 3602 3970 6352 7204 7940 9005 9925 9941 14408 15880 18010 19850 19882 28816 31760 36020 39700 39764 45025 49625 49705 72040 79400 79528 90050 99250 99410 144080 158800 159056 180100 198500 198820 225125 248525 360200 397000 397640 450250 497050 714997 720400 794000 795280 900500 994100 1242625 1429994 1801000 1988200 2485250 2859988 3574985 3602000 3946577 3976400 4970500 5719976 7149970 7893154 9941000 11439952 14299940 15786308 17874925 17903741 19732885 19882000 28599880 31572616 35749850 35807482 39465770 57199760 63145232 71499700 71614964 78931540 89374625 89518705 98664425 142999400 143229928 157863080 178749250 179037410 197328850 285998800 286459856 315726160 357498500 358074820 394657700 447593525 493322125 714997000 716149640 789315400 895187050 986644250 1429994000 1432299280 1578630800 1790374100 1973288500 2237967625 3580748200 3946577000 4475935250 7107785177 7161496400 7893154000 8951870500 14215570354 17903741000 28431140708 35538925885 35807482000 56862281416 71077851770 113724562832 142155703540 177694629425 284311407080 355389258850 568622814160 710778517700 888473147125 1421557035400 1776946294250 2843114070800 3553892588500 7107785177000 14215570354000