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14231917000 = 235372388397
BaseRepresentation
bin11010100000100100…
…11101000111001000
31100201211212021220001
431100102131013020
5213121332321000
610312115212344
71012452204250
oct152022350710
940654767801
1014231917000
116043600984
1229122a70b4
13145a68c882
14990206960
1558469446a
hex35049d1c8

14231917000 has 128 divisors (see below), whose sum is σ = 39715453440. Its totient is φ = 4667308800.

The previous prime is 14231916983. The next prime is 14231917003. The reversal of 14231917000 is 71913241.

It is a super-2 number, since 2×142319170002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 14231917000.

It is not an unprimeable number, because it can be changed into a prime (14231917003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116802 + ... + 205198.

It is an arithmetic number, because the mean of its divisors is an integer number (310276980).

Almost surely, 214231917000 is an apocalyptic number.

14231917000 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 14231917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19857726720).

14231917000 is an abundant number, since it is smaller than the sum of its proper divisors (25483536440).

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

14231917000 is a wasteful number, since it uses less digits than its factorization.

14231917000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88448 (or 88434 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 14231917000 in words is "fourteen billion, two hundred thirty-one million, nine hundred seventeen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 280 322 350 460 500 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 2300 2875 3220 3500 4025 4600 5750 6440 7000 8050 11500 16100 20125 23000 32200 40250 80500 88397 161000 176794 353588 441985 618779 707176 883970 1237558 1767940 2033131 2209925 2475116 3093895 3535880 4066262 4419850 4950232 6187790 8132524 8839700 10165655 11049625 12375580 14231917 15469475 16265048 17679400 20331310 22099250 24751160 28463834 30938950 40662620 44198500 50828275 56927668 61877900 71159585 77347375 81325240 88397000 101656550 113855336 123755800 142319170 154694750 203313100 254141375 284638340 309389500 355797925 406626200 508282750 569276680 618779000 711595850 1016565500 1423191700 1778989625 2033131000 2846383400 3557979250 7115958500 14231917000