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14219163840 = 2635712716661
BaseRepresentation
bin11010011111000011…
…10011100011000000
31100200221212100211210
431033201303203000
5213110101220330
610310542010120
71012235620110
oct151741634300
940627770753
1014219163840
116037390282
122909b76940
131457b45b1b
1498c647040
155834c58b0
hex34f8738c0

14219163840 has 224 divisors, whose sum is σ = 52004634624. Its totient is φ = 3224309760.

The previous prime is 14219163811. The next prime is 14219163853. The reversal of 14219163840 is 4836191241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×142191638403 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845110 + ... + 861770.

Almost surely, 214219163840 is an apocalyptic number.

14219163840 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 14219163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26002317312).

14219163840 is an abundant number, since it is smaller than the sum of its proper divisors (37785470784).

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

14219163840 is a wasteful number, since it uses less digits than its factorization.

14219163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16815 (or 16805 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 14219163840 in words is "fourteen billion, two hundred nineteen million, one hundred sixty-three thousand, eight hundred forty".