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1429946136 = 2335799311
BaseRepresentation
bin101010100111011…
…0011111100011000
310200122200210100000
41111032303330120
510412031234021
6353520413000
750302225113
oct12516637430
93618623300
101429946136
11674192773
1233aa77160
1319a335098
14d7ca957a
158580cb26
hex553b3f18

1429946136 has 96 divisors (see below), whose sum is σ = 4067481600. Its totient is φ = 470564640.

The previous prime is 1429946129. The next prime is 1429946153. The reversal of 1429946136 is 6316499241.

1429946136 is a `hidden beast` number, since 1 + 4 + 29 + 9 + 4 + 613 + 6 = 666.

It is a super-2 number, since 2×14299461362 = 4089491903722660992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1429946091 and 1429946100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 148921 + ... + 158231.

It is an arithmetic number, because the mean of its divisors is an integer number (42369600).

Almost surely, 21429946136 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 1429946136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033740800).

1429946136 is an abundant number, since it is smaller than the sum of its proper divisors (2637535464).

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

1429946136 is an equidigital number, since it uses as much as digits as its factorization.

1429946136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9411 (or 9395 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1429946136 is about 37814.6285979381. The cubic root of 1429946136 is about 1126.6090256021.

The spelling of 1429946136 in words is "one billion, four hundred twenty-nine million, nine hundred forty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 243 316 324 474 486 632 648 711 948 972 1422 1896 1944 2133 2844 4266 5688 6399 8532 9311 12798 17064 18622 19197 25596 27933 37244 38394 51192 55866 74488 76788 83799 111732 153576 167598 223464 251397 335196 502794 670392 735569 754191 1005588 1471138 1508382 2011176 2206707 2262573 2942276 3016764 4413414 4525146 5884552 6033528 6620121 8826828 9050292 13240242 17653656 18100584 19860363 26480484 39720726 52960968 59581089 79441452 119162178 158882904 178743267 238324356 357486534 476648712 714973068 1429946136