Search a number
-
+
14340033020 = 22519374323719
BaseRepresentation
bin11010101101011101…
…11000100111111100
31101000101022011012002
431112232320213330
5213332022024040
610330540401432
71015234161305
oct152656704774
941011264162
1014340033020
116099636065
122942546278
131476bb5551
149a070b7ac
1558ddeda15
hex356bb89fc

14340033020 has 96 divisors (see below), whose sum is σ = 33314265600. Its totient is φ = 5164072704.

The previous prime is 14340033017. The next prime is 14340033061. The reversal of 14340033020 is 2033004341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14340032983 and 14340033001.

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, 592721 + ... + 616439.

It is an arithmetic number, because the mean of its divisors is an integer number (347023600).

Almost surely, 214340033020 is an apocalyptic number.

14340033020 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 14340033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16657132800).

14340033020 is an abundant number, since it is smaller than the sum of its proper divisors (18974232580).

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

14340033020 is a wasteful number, since it uses less digits than its factorization.

14340033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23827 (or 23825 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 14340033020 its reverse (2033004341), we get a palindrome (16373037361).

The spelling of 14340033020 in words is "fourteen billion, three hundred forty million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 37 38 43 74 76 86 95 148 172 185 190 215 370 380 430 703 740 817 860 1406 1591 1634 2812 3182 3268 3515 4085 6364 7030 7955 8170 14060 15910 16340 23719 30229 31820 47438 60458 94876 118595 120916 151145 237190 302290 450661 474380 604580 877603 901322 1019917 1755206 1802644 2039834 2253305 3510412 4079668 4388015 4506610 5099585 8776030 9013220 10199170 16674457 17552060 19378423 20398340 33348914 37736929 38756846 66697828 75473858 77513692 83372285 96892115 150947716 166744570 188684645 193784230 333489140 377369290 387568460 717001651 754738580 1434003302 2868006604 3585008255 7170016510 14340033020