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2142431401 = 112632692753
BaseRepresentation
bin111111110110010…
…1110100010101001
312112022100210101011
41333230232202221
513341430301101
6552331423521
7104043236455
oct17754564251
95468323334
102142431401
119aa38a470
124b95b4ba1
13281b262b6
14164773665
15c8149751
hex7fb2e8a9

2142431401 has 16 divisors (see below), whose sum is σ = 2355661440. Its totient is φ = 1932344320.

The previous prime is 2142431383. The next prime is 2142431411. The reversal of 2142431401 is 1041342412.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2142431401 - 211 = 2142429353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142431411) 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, 776841 + ... + 779593.

It is an arithmetic number, because the mean of its divisors is an integer number (147228840).

Almost surely, 22142431401 is an apocalyptic number.

It is an amenable number.

2142431401 is a deficient number, since it is larger than the sum of its proper divisors (213230039).

2142431401 is a wasteful number, since it uses less digits than its factorization.

2142431401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2142431401 is about 46286.4062225617. The cubic root of 2142431401 is about 1289.1466023975.

Adding to 2142431401 its reverse (1041342412), we get a palindrome (3183773813).

It can be divided in two parts, 21424 and 31401, that added together give a palindrome (52825).

The spelling of 2142431401 in words is "two billion, one hundred forty-two million, four hundred thirty-one thousand, four hundred one".

Divisors: 1 11 263 269 2753 2893 2959 30283 70747 724039 740557 778217 7964429 8146127 194766491 2142431401