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1424194759680 = 210357111204169
BaseRepresentation
bin10100101110011000100…
…111110110110000000000
312001011002120200221020020
4110232120213312300000
5141313222324302210
63010133244213440
7204615605501010
oct24563047666000
95034076627206
101424194759680
114a9aa78a4350
121b0027b3a280
13a43bb374214
144cd07a61c40
15270a72c2770
hex14b989f6c00

1424194759680 has 352 divisors, whose sum is σ = 5679212520960. Its totient is φ = 295936327680.

The previous prime is 1424194759639. The next prime is 1424194759699. The reversal of 1424194759680 is 869574914241.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 580636 + ... + 1784804.

It is an arithmetic number, because the mean of its divisors is an integer number (16134126480).

Almost surely, 21424194759680 is an apocalyptic number.

1424194759680 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 1424194759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839606260480).

1424194759680 is an abundant number, since it is smaller than the sum of its proper divisors (4255017761280).

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

1424194759680 is a wasteful number, since it uses less digits than its factorization.

1424194759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204215 (or 1204197 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 1424194759680 in words is "one trillion, four hundred twenty-four billion, one hundred ninety-four million, seven hundred fifty-nine thousand, six hundred eighty".