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14330103700 = 22521137379929
BaseRepresentation
bin11010101100010010…
…00000011110010100
31100222200121200201111
431112021000132110
5213322001304300
610325543504404
71015053604663
oct152611003624
940880550644
1014330103700
116093a74010
12293b158104
131474b19c03
1499d284dda
1558d0db9ba
hex356240794

14330103700 has 144 divisors (see below), whose sum is σ = 34969636800. Its totient is φ = 5051289600.

The previous prime is 14330103673. The next prime is 14330103707. The reversal of 14330103700 is 730103341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330103707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15424836 + ... + 15425764.

It is an arithmetic number, because the mean of its divisors is an integer number (242844700).

Almost surely, 214330103700 is an apocalyptic number.

14330103700 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 14330103700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484818400).

14330103700 is an abundant number, since it is smaller than the sum of its proper divisors (20639533100).

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

14330103700 is a wasteful number, since it uses less digits than its factorization.

14330103700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The spelling of 14330103700 in words is "fourteen billion, three hundred thirty million, one hundred three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 379 407 550 740 758 814 925 929 1100 1516 1628 1850 1858 1895 2035 3700 3716 3790 4070 4169 4645 7580 8140 8338 9290 9475 10175 10219 14023 16676 18580 18950 20350 20438 20845 23225 28046 34373 37900 40700 40876 41690 46450 51095 56092 68746 70115 83380 92900 102190 104225 137492 140230 154253 171865 204380 208450 255475 280460 308506 343730 350575 352091 378103 416900 510950 617012 687460 701150 704182 756206 771265 859325 1021900 1402300 1408364 1512412 1542530 1718650 1760455 1890515 3085060 3437300 3520910 3781030 3856325 3873001 7041820 7562060 7712650 7746002 8802275 9452575 13027367 15425300 15492004 17604550 18905150 19365005 26054734 35209100 37810300 38730010 52109468 65136835 77460020 96825025 130273670 143301037 193650050 260547340 286602074 325684175 387300100 573204148 651368350 716505185 1302736700 1433010370 2866020740 3582525925 7165051850 14330103700