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14323585285440 = 26345171931229241
BaseRepresentation
bin1101000001101111100000…
…1101100111110101000000
31212201022200021201121210000
43100123320031213311000
53334134200313113230
650244055250440000
73005562540035154
oct320337015476500
955638607647700
1014323585285440
114622664529a22
12173400b893000
137cb929187b52
1437739dad5064
1519c8c8e7eb60
hexd06f8367d40

14323585285440 has 2240 divisors, whose sum is σ = 59120217446400. Its totient is φ = 3267860889600.

The previous prime is 14323585285411. The next prime is 14323585285489. The reversal of 14323585285440 is 4458258532341.

14323585285440 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 3 + 585 + 2 + 8 + 54 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 59433963720 + ... + 59433963960.

Almost surely, 214323585285440 is an apocalyptic number.

14323585285440 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 14323585285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29560108723200).

14323585285440 is an abundant number, since it is smaller than the sum of its proper divisors (44796632160960).

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

14323585285440 is a wasteful number, since it uses less digits than its factorization.

14323585285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 14323585285440 in words is "fourteen trillion, three hundred twenty-three billion, five hundred eighty-five million, two hundred eighty-five thousand, four hundred forty".