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14001214040 = 2351134791703
BaseRepresentation
bin11010000101000100…
…11001001001011000
31100010202202100220222
431002202121021120
5212133302322130
610233154335212
71003651233002
oct150242311130
940122670828
1014001214040
115a35358380
122868b8a508
131421945648
1496b711372
1556e2c2ce5
hex342899258

14001214040 has 64 divisors (see below), whose sum is σ = 34466031360. Its totient is φ = 5076622720.

The previous prime is 14001214021. The next prime is 14001214043. The reversal of 14001214040 is 4041210041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001214043) by changing a digit.

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, 106829 + ... + 198531.

It is an arithmetic number, because the mean of its divisors is an integer number (538531740).

Almost surely, 214001214040 is an apocalyptic number.

14001214040 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 14001214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233015680).

14001214040 is an abundant number, since it is smaller than the sum of its proper divisors (20464817320).

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

14001214040 is a wasteful number, since it uses less digits than its factorization.

14001214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92072 (or 92068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 14001214040 its reverse (4041210041), we get a palindrome (18042424081).

The spelling of 14001214040 in words is "fourteen billion, one million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 347 440 694 1388 1735 2776 3470 3817 6940 7634 13880 15268 19085 30536 38170 76340 91703 152680 183406 366812 458515 733624 917030 1008733 1834060 2017466 3668120 4034932 5043665 8069864 10087330 20174660 31820941 40349320 63641882 127283764 159104705 254567528 318209410 350030351 636418820 700060702 1272837640 1400121404 1750151755 2800242808 3500303510 7000607020 14001214040