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1430950350080 = 285192915712923
BaseRepresentation
bin10100110100101011010…
…010011000110100000000
312001210112101112111002002
4110310223102120310000
5141421041242200310
63013211452043132
7205245166200566
oct24645322306400
95053471474062
101430950350080
11501954193409
121b13b24634a8
13a4c26b441a4
144d388d59a36
152735040dda5
hex14d2b498d00

1430950350080 has 288 divisors, whose sum is σ = 3756448483200. Its totient is φ = 520181415936.

The previous prime is 1430950350073. The next prime is 1430950350101. The reversal of 1430950350080 is 800530590341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110722499 + ... + 110735421.

It is an arithmetic number, because the mean of its divisors is an integer number (13043223900).

Almost surely, 21430950350080 is an apocalyptic number.

1430950350080 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 1430950350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878224241600).

1430950350080 is an abundant number, since it is smaller than the sum of its proper divisors (2325498133120).

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

1430950350080 is a wasteful number, since it uses less digits than its factorization.

1430950350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13149 (or 13135 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 1430950350080 in words is "one trillion, four hundred thirty billion, nine hundred fifty million, three hundred fifty thousand, eighty".