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2133444040 = 235713586111
BaseRepresentation
bin111111100101001…
…1100010111001000
312111200110012000221
41333022130113020
513332130202130
6551411035424
7103603655320
oct17712342710
95450405027
102133444040
119a53010a2
124b659bb74
1327ccca630
141634b4280
15c747187a
hex7f29c5c8

2133444040 has 64 divisors (see below), whose sum is σ = 5908008960. Its totient is φ = 675198720.

The previous prime is 2133444037. The next prime is 2133444041. The reversal of 2133444040 is 404443312.

It is a junction number, because it is equal to n+sod(n) for n = 2133443996 and 2133444014.

It is not an unprimeable number, because it can be changed into a prime (2133444041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289416 + ... + 296695.

It is an arithmetic number, because the mean of its divisors is an integer number (92312640).

Almost surely, 22133444040 is an apocalyptic number.

2133444040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133444040 is an abundant number, since it is smaller than the sum of its proper divisors (3774564920).

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

2133444040 is a wasteful number, since it uses less digits than its factorization.

2133444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586142 (or 586138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2133444040 is about 46189.2199544439. The cubic root of 2133444040 is about 1287.3414470289.

Adding to 2133444040 its reverse (404443312), we get a palindrome (2537887352).

The spelling of 2133444040 in words is "two billion, one hundred thirty-three million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 586111 1172222 2344444 2930555 4102777 4688888 5861110 7619443 8205554 11722220 15238886 16411108 20513885 23444440 30477772 32822216 38097215 41027770 53336101 60955544 76194430 82055540 106672202 152388860 164111080 213344404 266680505 304777720 426688808 533361010 1066722020 2133444040