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2141400869 = 17676133067
BaseRepresentation
bin111111110100011…
…0010111100100101
312112020102102202022
41333220302330211
513341144311434
6552253352525
7104031415136
oct17750627445
95466372668
102141400869
119a9846193
124b9198745
1328185520a
14164585c8d
15c7ee422e
hex7fa32f25

2141400869 has 16 divisors (see below), whose sum is σ = 2305712448. Its totient is φ = 1981469952.

The previous prime is 2141400851. The next prime is 2141400881. The reversal of 2141400869 is 9680041412.

It is a happy number.

It is not a de Polignac number, because 2141400869 - 212 = 2141396773 is a prime.

It is a super-2 number, since 2×21414008692 = 9171195363507910322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141400269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 696674 + ... + 699740.

It is an arithmetic number, because the mean of its divisors is an integer number (144107028).

Almost surely, 22141400869 is an apocalyptic number.

It is an amenable number.

2141400869 is a deficient number, since it is larger than the sum of its proper divisors (164311579).

2141400869 is a wasteful number, since it uses less digits than its factorization.

2141400869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2141400869 is about 46275.2727598660. The cubic root of 2141400869 is about 1288.9398715633.

The spelling of 2141400869 in words is "two billion, one hundred forty-one million, four hundred thousand, eight hundred sixty-nine".

Divisors: 1 17 67 613 1139 3067 10421 41071 52139 205489 698207 1880071 3493313 31961207 125964757 2141400869