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1435441213801 = 784992
BaseRepresentation
bin10100111000110110111…
…101101011000101101001
312002020010100212222222001
4110320312331223011221
5142004240422320201
63015233234531001
7205464400000000
oct24706675530551
95066110788861
101435441213801
11503849163831
121b2246436a61
13a549136c2ba
144d693567c37
15275147e5301
hex14e36f6b169

1435441213801 has 27 divisors (see below), whose sum is σ = 1678044175101. Its totient is φ = 1227912495516.

The previous prime is 1435441213753. The next prime is 1435441213807. The reversal of 1435441213801 is 1083121445341.

The square root of 1435441213801 is 1198099.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1435441213801 - 223 = 1435432825193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1435441213807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2876635450 + ... + 2876635948.

It is an arithmetic number, because the mean of its divisors is an integer number (62149784263).

Almost surely, 21435441213801 is an apocalyptic number.

1435441213801 is the 1198099-th square number.

1435441213801 is the 599050-th centered octagonal number.

It is an amenable number.

1435441213801 is a deficient number, since it is larger than the sum of its proper divisors (242602961300).

1435441213801 is an frugal number, since it uses more digits than its factorization.

1435441213801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 1435441213801 in words is "one trillion, four hundred thirty-five billion, four hundred forty-one million, two hundred thirteen thousand, eight hundred one".

Divisors: 1 7 49 343 499 2401 3493 16807 24451 117649 171157 249001 823543 1198099 1743007 5764801 8386693 12201049 58706851 85407343 410947957 597851401 2876635699 4184959807 29294718649 205063030543 1435441213801