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29440138512 = 2434383171851
BaseRepresentation
bin11011011010110001…
…001101110100010000
32210222201210222210110
4123122301031310100
5440243133413022
621305152201320
72061361022421
oct333261156420
983881728713
1029440138512
1111538210894
125857539240
132a123b1105
1415d3d4d648
15b748d900c
hex6dac4dd10

29440138512 has 80 divisors (see below), whose sum is σ = 78760459008. Its totient is φ = 9469622400.

The previous prime is 29440138463. The next prime is 29440138513. The reversal of 29440138512 is 21583104492.

It is not an unprimeable number, because it can be changed into a prime (29440138513) 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, 85387 + ... + 257237.

Almost surely, 229440138512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29440138512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39380229504).

29440138512 is an abundant number, since it is smaller than the sum of its proper divisors (49320320496).

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

29440138512 is a wasteful number, since it uses less digits than its factorization.

29440138512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171988 (or 171982 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 29440138512 in words is "twenty-nine billion, four hundred forty million, one hundred thirty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 83 86 129 166 172 249 258 332 344 498 516 664 688 996 1032 1328 1992 2064 3569 3984 7138 10707 14276 21414 28552 42828 57104 85656 171312 171851 343702 515553 687404 1031106 1374808 2062212 2749616 4124424 7389593 8248848 14263633 14779186 22168779 28527266 29558372 42790899 44337558 57054532 59116744 85581798 88675116 114109064 118233488 171163596 177350232 228218128 342327192 354700464 613336219 684654384 1226672438 1840008657 2453344876 3680017314 4906689752 7360034628 9813379504 14720069256 29440138512