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2142433704 = 233176186083
BaseRepresentation
bin111111110110010…
…1111000110101000
312112022100220112110
41333230233012220
513341430334304
6552331442320
7104043246255
oct17754570650
95468326473
102142433704
119aa391174
124b95b63a0
13281b27368
1416477442c
15c814a289
hex7fb2f1a8

2142433704 has 64 divisors (see below), whose sum is σ = 5764184640. Its totient is φ = 661109760.

The previous prime is 2142433703. The next prime is 2142433723. The reversal of 2142433704 is 4073342412.

It is not an unprimeable number, because it can be changed into a prime (2142433703) 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, 18154 + ... + 67929.

It is an arithmetic number, because the mean of its divisors is an integer number (90065385).

Almost surely, 22142433704 is an apocalyptic number.

2142433704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142433704 is an abundant number, since it is smaller than the sum of its proper divisors (3621750936).

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

2142433704 is a wasteful number, since it uses less digits than its factorization.

2142433704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86170 (or 86166 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2142433704 is about 46286.4311002695. The cubic root of 2142433704 is about 1289.1470643187.

The spelling of 2142433704 in words is "two billion, one hundred forty-two million, four hundred thirty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 1037 1464 2074 3111 4148 6222 8296 12444 24888 86083 172166 258249 344332 516498 688664 1032996 1463411 2065992 2926822 4390233 5251063 5853644 8780466 10502126 11707288 15753189 17560932 21004252 31506378 35121864 42008504 63012756 89268071 126025512 178536142 267804213 357072284 535608426 714144568 1071216852 2142433704