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1429245441 = 3213591971051
BaseRepresentation
bin101010100110000…
…1000111000000001
310200121101012011100
41111030020320001
510411341323231
6353453405013
750263246221
oct12514107001
93617335140
101429245441
11673854288
1233a799769
1319a14b180
14d7b66081
15857201e6
hex55308e01

1429245441 has 48 divisors (see below), whose sum is σ = 2274592320. Its totient is φ = 859420800.

The previous prime is 1429245413. The next prime is 1429245443. The reversal of 1429245441 is 1445429241.

It is not a de Polignac number, because 1429245441 - 211 = 1429243393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1429245396 and 1429245405.

It is not an unprimeable number, because it can be changed into a prime (1429245443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1359366 + ... + 1360416.

It is an arithmetic number, because the mean of its divisors is an integer number (47387340).

Almost surely, 21429245441 is an apocalyptic number.

It is an amenable number.

1429245441 is a deficient number, since it is larger than the sum of its proper divisors (845346879).

1429245441 is a wasteful number, since it uses less digits than its factorization.

1429245441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1323 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1429245441 is about 37805.3625958011. The cubic root of 1429245441 is about 1126.4249771107.

The spelling of 1429245441 in words is "one billion, four hundred twenty-nine million, two hundred forty-five thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 59 117 177 197 531 591 767 1051 1773 2301 2561 3153 6903 7683 9459 11623 13663 23049 34869 40989 62009 104607 122967 151099 186027 207047 453297 558081 621141 806117 1359891 1863423 2418351 2691611 7255053 8074833 12215773 24224499 36647319 109941957 158805049 476415147 1429245441