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1429711371480 = 23357192971139313
BaseRepresentation
bin10100110011100001011…
…100000011110011011000
312001200100001011211221210
4110303201130003303120
5141411022102341410
63012444512303120
7205202403100230
oct24634134036330
95050301154853
101429711371480
11501378884457
121b1107541aa0
13a4a8a253062
144d2ac5a0cc0
15272cb774220
hex14ce1703cd8

1429711371480 has 1024 divisors, whose sum is σ = 5469327360000. Its totient is φ = 291651010560.

The previous prime is 1429711371467. The next prime is 1429711371587. The reversal of 1429711371480 is 841731179241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4567767804 + ... + 4567768116.

It is an arithmetic number, because the mean of its divisors is an integer number (5341140000).

Almost surely, 21429711371480 is an apocalyptic number.

1429711371480 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 1429711371480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734663680000).

1429711371480 is an abundant number, since it is smaller than the sum of its proper divisors (4039615988520).

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

1429711371480 is a wasteful number, since it uses less digits than its factorization.

1429711371480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 1429711371480 in words is "one trillion, four hundred twenty-nine billion, seven hundred eleven million, three hundred seventy-one thousand, four hundred eighty".