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2134302144 = 26313855089
BaseRepresentation
bin111111100110110…
…1101110111000000
312111202001210010120
41333031231313000
513332340132034
6551441300240
7103614161142
oct17715556700
95452053116
102134302144
119a5837877
124b6934680
1328023b0a0
14163658c92
15c7590c49
hex7f36ddc0

2134302144 has 56 divisors (see below), whose sum is σ = 6081400080. Its totient is φ = 656707584.

The previous prime is 2134302139. The next prime is 2134302199. The reversal of 2134302144 is 4412034312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 425049 + ... + 430040.

It is an arithmetic number, because the mean of its divisors is an integer number (108596430).

Almost surely, 22134302144 is an apocalyptic number.

2134302144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2134302144 is an abundant number, since it is smaller than the sum of its proper divisors (3947097936).

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

2134302144 is a wasteful number, since it uses less digits than its factorization.

2134302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855117 (or 855107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2134302144 is about 46198.5080278573. The cubic root of 2134302144 is about 1287.5140200692.

Adding to 2134302144 its reverse (4412034312), we get a palindrome (6546336456).

The spelling of 2134302144 in words is "two billion, one hundred thirty-four million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 855089 1710178 2565267 3420356 5130534 6840712 10261068 11116157 13681424 20522136 22232314 27362848 33348471 41044272 44464628 54725696 66696942 82088544 88929256 133393884 164177088 177858512 266787768 355717024 533575536 711434048 1067151072 2134302144