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14061001320 = 233251131791931
BaseRepresentation
bin11010001100001100…
…11101101001101000
31100021221020212122200
431012012131221220
5212244104020240
610243132020200
71005305352642
oct150606355150
940257225580
1014061001320
115a66083453
122885001660
131431149832
14975635892
15574682930
hex34619da68

14061001320 has 192 divisors, whose sum is σ = 46384228800. Its totient is φ = 3693742080.

The previous prime is 14061001303. The next prime is 14061001343. The reversal of 14061001320 is 2310016041.

It is a happy number.

14061001320 is a `hidden beast` number, since 1 + 40 + 610 + 0 + 13 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14061001293 and 14061001302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7280755 + ... + 7282685.

It is an arithmetic number, because the mean of its divisors is an integer number (241584525).

Almost surely, 214061001320 is an apocalyptic number.

14061001320 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 14061001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23192114400).

14061001320 is an abundant number, since it is smaller than the sum of its proper divisors (32323227480).

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

14061001320 is a wasteful number, since it uses less digits than its factorization.

14061001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14061001320 its reverse (2310016041), we get a palindrome (16371017361).

The spelling of 14061001320 in words is "fourteen billion, sixty-one million, one thousand, three hundred twenty".