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14435621051424 = 25323292235231933
BaseRepresentation
bin1101001000010000111000…
…0100001001110000100000
31220010000212020210020002020
43102010032010021300200
53343003122442121144
650411344402021440
73016640101242336
oct322041604116040
956100766706066
1014435621051424
114666126825161
121751878347880
138093723726c1
1437c98b403b56
151a0784b52419
hexd210e109c20

14435621051424 has 384 divisors, whose sum is σ = 41187820584960. Its totient is φ = 4413278048256.

The previous prime is 14435621051377. The next prime is 14435621051431. The reversal of 14435621051424 is 42415012653441.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7467987162 + ... + 7467989094.

It is an arithmetic number, because the mean of its divisors is an integer number (107259949440).

Almost surely, 214435621051424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14435621051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20593910292480).

14435621051424 is an abundant number, since it is smaller than the sum of its proper divisors (26752199533536).

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

14435621051424 is a wasteful number, since it uses less digits than its factorization.

14435621051424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 14435621051424 in words is "fourteen trillion, four hundred thirty-five billion, six hundred twenty-one million, fifty-one thousand, four hundred twenty-four".