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14132031220 = 2252352158967
BaseRepresentation
bin11010010100101010…
…11010111011110100
31100110212220120100201
431022111122323310
5212420244444340
610254150250244
71010130166126
oct151225327364
940425816321
1014132031220
115aa218824a
1228a4956984
131442a89068
14980c45216
1557aa1379a
hex34a55aef4

14132031220 has 48 divisors (see below), whose sum is σ = 31027546368. Its totient is φ = 5396568320.

The previous prime is 14132031211. The next prime is 14132031229. The reversal of 14132031220 is 2213023141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14132031211) and next prime (14132031229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132031229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210177 + ... + 269143.

It is an arithmetic number, because the mean of its divisors is an integer number (646407216).

Almost surely, 214132031220 is an apocalyptic number.

14132031220 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 14132031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513773184).

14132031220 is an abundant number, since it is smaller than the sum of its proper divisors (16895515148).

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

14132031220 is a wasteful number, since it uses less digits than its factorization.

14132031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59520 (or 59518 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 14132031220 its reverse (2213023141), we get a palindrome (16345054361).

The spelling of 14132031220 in words is "fourteen billion, one hundred thirty-two million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 521 1042 2084 2605 5210 10420 11983 23966 47932 58967 59915 117934 119830 235868 239660 294835 589670 1179340 1356241 2712482 5424964 6781205 13562410 27124820 30721807 61443614 122887228 153609035 307218070 614436140 706601561 1413203122 2826406244 3533007805 7066015610 14132031220