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141384294697520 = 24573153732105003
BaseRepresentation
bin100000001001011010011000…
…101010011000101000110000
3200112121012120120221022021102
4200021122120222120220300
5122012420013420310040
61220411014234343532
741531451424052210
oct4011323052305060
9615535516838242
10141384294697520
114105a819526306
1213a3528228aba8
1360b7635623784
1426cb071b58240
151152ae3968515
hex809698a98a30

141384294697520 has 320 divisors, whose sum is σ = 400526554374144. Its totient is φ = 45395294330880.

The previous prime is 141384294697507. The next prime is 141384294697603. The reversal of 141384294697520 is 25796492483141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66113339 + ... + 68218341.

It is a 1-persistent number, because it is pandigital, but 2⋅141384294697520 = 282768589395040 is not.

Almost surely, 2141384294697520 is an apocalyptic number.

141384294697520 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 141384294697520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200263277187072).

141384294697520 is an abundant number, since it is smaller than the sum of its proper divisors (259142259676624).

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

141384294697520 is a wasteful number, since it uses less digits than its factorization.

141384294697520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105180 (or 2105174 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 65.

The spelling of 141384294697520 in words is "one hundred forty-one trillion, three hundred eighty-four billion, two hundred ninety-four million, six hundred ninety-seven thousand, five hundred twenty".