Search a number
-
+
1429236864 = 273211112787
BaseRepresentation
bin101010100110000…
…0110110010000000
310200121100202101200
41111030012302000
510411341034424
6353453301200
750263212216
oct12514066200
93617322350
101429236864
116738488a0
1233a794800
1319a1472b3
14d7b62cb6
158571c8c9
hex55306c80

1429236864 has 96 divisors (see below), whose sum is σ = 4486706640. Its totient is φ = 433098240.

The previous prime is 1429236833. The next prime is 1429236901. The reversal of 1429236864 is 4686329241.

1429236864 is a `hidden beast` number, since 142 + 92 + 368 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 43722 + ... + 69065.

Almost surely, 21429236864 is an apocalyptic number.

It is an amenable number.

1429236864 is an abundant number, since it is smaller than the sum of its proper divisors (3057469776).

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

1429236864 is a wasteful number, since it uses less digits than its factorization.

1429236864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112818 (or 112803 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1429236864 is about 37805.2491593429. The cubic root of 1429236864 is about 1126.4227238550.

The spelling of 1429236864 in words is "one billion, four hundred twenty-nine million, two hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 112787 225574 338361 451148 676722 902296 1015083 1240657 1353444 1804592 2030166 2481314 2706888 3609184 3721971 4060332 4962628 5413776 7218368 7443942 8120664 9925256 10827552 11165913 14436736 14887884 16241328 19850512 21655104 22331826 29775768 32482656 39701024 43310208 44663652 59551536 64965312 79402048 89327304 119103072 129930624 158804096 178654608 238206144 357309216 476412288 714618432 1429236864