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14002001431400 = 235270010007157
BaseRepresentation
bin1100101111000001100001…
…0100100100101101101000
31211120120121112222012111102
43023300120110210231220
53313402044331301100
645440233004420532
72643416435263403
oct313603024445550
954516545865442
1014002001431400
11450924085a724
1216a1821b47748
137a74c97ac998
143659b41bad3a
15194356994cd5
hexcbc18524b68

14002001431400 has 24 divisors (see below), whose sum is σ = 32554653328470. Its totient is φ = 5600800572480.

The previous prime is 14002001431349. The next prime is 14002001431423. The reversal of 14002001431400 is 413410020041.

It can be written as a sum of positive squares in 3 ways, for example, as 11029266829156 + 2972734602244 = 3321034^2 + 1724162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 35005003379 + ... + 35005003778.

Almost surely, 214002001431400 is an apocalyptic number.

14002001431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002001431400 is an abundant number, since it is smaller than the sum of its proper divisors (18552651897070).

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

14002001431400 is a wasteful number, since it uses less digits than its factorization.

14002001431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70010007173 (or 70010007164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14002001431400 its reverse (413410020041), we get a palindrome (14415411451441).

The spelling of 14002001431400 in words is "fourteen trillion, two billion, one million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 70010007157 140020014314 280040028628 350050035785 560080057256 700100071570 1400200143140 1750250178925 2800400286280 3500500357850 7001000715700 14002001431400