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14231717920 = 255773174067
BaseRepresentation
bin11010100000100011…
…01100100000100000
31100201211111011210201
431100101230200200
5213121304433140
610312111034544
71012450414660
oct152021544040
940654434721
1014231717920
116043485352
12291220ba54
13145a620084
149901941a0
1558465549a
hex35046c820

14231717920 has 96 divisors (see below), whose sum is σ = 38952240768. Its totient is φ = 4812576768.

The previous prime is 14231717879. The next prime is 14231717921. The reversal of 14231717920 is 2971713241.

It is a self number, because there is not a number n which added to its sum of digits gives 14231717920.

It is not an unprimeable number, because it can be changed into a prime (14231717921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5274 + ... + 168793.

It is an arithmetic number, because the mean of its divisors is an integer number (405752508).

Almost surely, 214231717920 is an apocalyptic number.

14231717920 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 14231717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476120384).

14231717920 is an abundant number, since it is smaller than the sum of its proper divisors (24720522848).

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

14231717920 is a wasteful number, since it uses less digits than its factorization.

14231717920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174162 (or 174154 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 14231717920 in words is "fourteen billion, two hundred thirty-one million, seven hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 1022 1120 1168 1460 2044 2336 2555 2920 4088 5110 5840 8176 10220 11680 16352 20440 40880 81760 174067 348134 696268 870335 1218469 1392536 1740670 2436938 2785072 3481340 4873876 5570144 6092345 6962680 9747752 12184690 12706891 13925360 19495504 24369380 25413782 27850720 38991008 48738760 50827564 63534455 88948237 97477520 101655128 127068910 177896474 194955040 203310256 254137820 355792948 406620512 444741185 508275640 711585896 889482370 1016551280 1423171792 1778964740 2033102560 2846343584 3557929480 7115858960 14231717920