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14662942439040 = 2732572316397003
BaseRepresentation
bin1101010101011111101101…
…1110011011011010000000
31220220202121200002012112200
43111113323132123122000
53410214201231022130
651104021320153200
73042235245200550
oct325277336333200
956822550065480
1014662942439040
114743578821245
121789939908800
1382492bb1b10c
14389993ca7160
151a663b992760
hexd55fb79b680

14662942439040 has 768 divisors, whose sum is σ = 60753248225280. Its totient is φ = 3186110619648.

The previous prime is 14662942439023. The next prime is 14662942439081. The reversal of 14662942439040 is 4093424926641.

14662942439040 is a `hidden beast` number, since 1 + 4 + 6 + 629 + 4 + 2 + 4 + 3 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×146629424390402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151111179 + ... + 151208181.

It is an arithmetic number, because the mean of its divisors is an integer number (79105791960).

Almost surely, 214662942439040 is an apocalyptic number.

14662942439040 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 14662942439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30376624112640).

14662942439040 is an abundant number, since it is smaller than the sum of its proper divisors (46090305786240).

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

14662942439040 is a wasteful number, since it uses less digits than its factorization.

14662942439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97221 (or 97206 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 14662942439040 in words is "fourteen trillion, six hundred sixty-two billion, nine hundred forty-two million, four hundred thirty-nine thousand, forty".