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1429606944 = 25325998287
BaseRepresentation
bin101010100110110…
…0001001000100000
310200122001120001100
41111031201020200
510411434410234
6353505234400
750266313163
oct12515411040
93618046040
101429606944
11673a80947
1233a932a00
1319a24688c
14d7c1bada
1585792399
hex55361220

1429606944 has 72 divisors (see below), whose sum is σ = 4072723200. Its totient is φ = 475682688.

The previous prime is 1429606931. The next prime is 1429606951. The reversal of 1429606944 is 4496069241.

1429606944 is a `hidden beast` number, since 14 + 29 + 606 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1429606944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168369 + ... + 176655.

It is an arithmetic number, because the mean of its divisors is an integer number (56565600).

Almost surely, 21429606944 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 1429606944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036361600).

1429606944 is an abundant number, since it is smaller than the sum of its proper divisors (2643116256).

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

1429606944 is a wasteful number, since it uses less digits than its factorization.

1429606944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1429606944 is about 37810.1434009447. The cubic root of 1429606944 is about 1126.5199390325.

The spelling of 1429606944 in words is "one billion, four hundred twenty-nine million, six hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 599 1198 1797 2396 3594 4792 5391 7188 8287 9584 10782 14376 16574 19168 21564 24861 28752 33148 43128 49722 57504 66296 74583 86256 99444 132592 149166 172512 198888 265184 298332 397776 596664 795552 1193328 2386656 4963913 9927826 14891739 19855652 29783478 39711304 44675217 59566956 79422608 89350434 119133912 158845216 178700868 238267824 357401736 476535648 714803472 1429606944