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14127504140 = 2253127782261
BaseRepresentation
bin11010010100001000…
…01001101100001100
31100110120101120101002
431022010021230030
5212413120113030
610253505235432
71010043542501
oct151204115414
940416346332
1014127504140
115a9a675a62
1228a3332b78
131441b62609
149803c74a8
1557a41c245
hex34a109b0c

14127504140 has 48 divisors (see below), whose sum is σ = 30735715584. Its totient is φ = 5448902400.

The previous prime is 14127504137. The next prime is 14127504163. The reversal of 14127504140 is 4140572141.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130610 + ... + 212870.

It is an arithmetic number, because the mean of its divisors is an integer number (640327408).

Almost surely, 214127504140 is an apocalyptic number.

14127504140 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 14127504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367857792).

14127504140 is an abundant number, since it is smaller than the sum of its proper divisors (16608211444).

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

14127504140 is a wasteful number, since it uses less digits than its factorization.

14127504140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82578 (or 82576 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The spelling of 14127504140 in words is "fourteen billion, one hundred twenty-seven million, five hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 277 310 554 620 1108 1385 2770 5540 8587 17174 34348 42935 82261 85870 164522 171740 329044 411305 822610 1645220 2550091 5100182 10200364 12750455 22786297 25500910 45572594 51001820 91145188 113931485 227862970 455725940 706375207 1412750414 2825500828 3531876035 7063752070 14127504140