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14142253120 = 265353125197
BaseRepresentation
bin11010010101111000…
…11010100001000000
31100111121010220011121
431022330122201000
5212430404044440
610255153322024
71010313111442
oct151274324100
940447126147
1014142253120
115aa7a2a0a6
1228a8266314
131444c27918
14982346492
1557b88234a
hex34af1a840

14142253120 has 56 divisors (see below), whose sum is σ = 33771910104. Its totient is φ = 5640830976.

The previous prime is 14142253117. The next prime is 14142253157. The reversal of 14142253120 is 2135224141.

It can be written as a sum of positive squares in 4 ways, for example, as 182358016 + 13959895104 = 13504^2 + 118152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50362 + ... + 175558.

Almost surely, 214142253120 is an apocalyptic number.

14142253120 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 14142253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885955052).

14142253120 is an abundant number, since it is smaller than the sum of its proper divisors (19629656984).

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

14142253120 is a wasteful number, since it uses less digits than its factorization.

14142253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125567 (or 125557 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14142253120 its reverse (2135224141), we get a palindrome (16277477261).

The spelling of 14142253120 in words is "fourteen billion, one hundred forty-two million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 353 706 1412 1765 2824 3530 5648 7060 11296 14120 22592 28240 56480 112960 125197 250394 500788 625985 1001576 1251970 2003152 2503940 4006304 5007880 8012608 10015760 20031520 40063040 44194541 88389082 176778164 220972705 353556328 441945410 707112656 883890820 1414225312 1767781640 2828450624 3535563280 7071126560 14142253120