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2142360319 = 11437163793
BaseRepresentation
bin111111110110001…
…1101001011111111
312112022020011212111
41333230131023333
513341421012234
6552330114451
7104042522311
oct17754351377
95468204774
102142360319
119aa341020
124b957ba27
13281accb38
141647557b1
15c8133664
hex7fb1d2ff

2142360319 has 16 divisors (see below), whose sum is σ = 2425192704. Its totient is φ = 1875484800.

The previous prime is 2142360301. The next prime is 2142360373. The reversal of 2142360319 is 9130632412.

It is a cyclic number.

It is not a de Polignac number, because 2142360319 - 25 = 2142360287 is a prime.

It is a super-2 number, since 2×21423603192 = 9179415472851563522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142360119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687 + ... + 65479.

It is an arithmetic number, because the mean of its divisors is an integer number (151574544).

Almost surely, 22142360319 is an apocalyptic number.

2142360319 is a deficient number, since it is larger than the sum of its proper divisors (282832385).

2142360319 is a wasteful number, since it uses less digits than its factorization.

2142360319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63918.

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 2142360319 is about 46285.6383665603. The cubic root of 2142360319 is about 1289.1323450554.

The spelling of 2142360319 in words is "two billion, one hundred forty-two million, three hundred sixty thousand, three hundred nineteen".

Divisors: 1 11 43 71 473 781 3053 33583 63793 701723 2743099 4529303 30174089 49822333 194760029 2142360319