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14002441600 = 27527625109
BaseRepresentation
bin11010000101001110…
…00100110110000000
31100010212001201211011
431002213010312000
5212134111112400
610233240530304
71003664534620
oct150247046600
940125051734
1014002441600
115a36016694
122869480994
131421c85304
1496b950880
1556e4668ba
hex3429c4d80

14002441600 has 96 divisors (see below), whose sum is σ = 39531956400. Its totient is φ = 4800829440.

The previous prime is 14002441591. The next prime is 14002441633. The reversal of 14002441600 is 614420041.

It is a super-2 number, since 2×140024416002 (a number of 21 digits) contains 22 as substring.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 290155 + ... + 334954.

Almost surely, 214002441600 is an apocalyptic number.

14002441600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002441600 is an abundant number, since it is smaller than the sum of its proper divisors (25529514800).

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

14002441600 is an equidigital number, since it uses as much as digits as its factorization.

14002441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625140 (or 625123 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14002441600 its reverse (614420041), we get a palindrome (14616861641).

The spelling of 14002441600 in words is "fourteen billion, two million, four hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 625109 1250218 2500436 3125545 4375763 5000872 6251090 8751526 10001744 12502180 15627725 17503052 20003488 21878815 25004360 31255450 35006104 40006976 43757630 50008720 62510900 70012208 80013952 87515260 100017440 109394075 125021800 140024416 175030520 200034880 218788150 250043600 280048832 350061040 400069760 437576300 500087200 560097664 700122080 875152600 1000174400 1400244160 1750305200 2000348800 2800488320 3500610400 7001220800 14002441600