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2141008479 = 32417121151
BaseRepresentation
bin111111110011101…
…0011001001011111
312112012200111111100
41333213103021133
513341044232404
6552241124143
7104025162141
oct17747231137
95465614440
102141008479
119a95a83a5
124b9029653
1328174872c
141644c2c91
15c7e67d39
hex7f9d325f

2141008479 has 36 divisors (see below), whose sum is σ = 3216036096. Its totient is φ = 1371720000.

The previous prime is 2141008477. The next prime is 2141008481. The reversal of 2141008479 is 9748001412.

It is an interprime number because it is at equal distance from previous prime (2141008477) and next prime (2141008481).

It is not a de Polignac number, because 2141008479 - 21 = 2141008477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141008477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1859554 + ... + 1860704.

It is an arithmetic number, because the mean of its divisors is an integer number (89334336).

Almost surely, 22141008479 is an apocalyptic number.

2141008479 is a deficient number, since it is larger than the sum of its proper divisors (1075027617).

2141008479 is a wasteful number, since it uses less digits than its factorization.

2141008479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2141008479 is about 46271.0328283258. The cubic root of 2141008479 is about 1288.8611383660.

The spelling of 2141008479 in words is "two billion, one hundred forty-one million, eight thousand, four hundred seventy-nine".

Divisors: 1 3 9 41 71 123 213 369 639 1151 2911 3453 5041 8733 10359 15123 26199 45369 47191 81721 141573 206681 245163 424719 620043 735489 1860129 3350561 5802191 10051683 17406573 30155049 52219719 237889831 713669493 2141008479