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402144460965 = 335131032224681
BaseRepresentation
bin1011101101000011010…
…11011000000010100101
31102110000010202021102000
411312201223120002211
523042042440222330
6504424223235513
741024341342542
oct5664153300245
91373003667360
10402144460965
11145604078695
1265b31448b99
132bbca9c5360
141566cd03bc9
15a6d9ce4560
hex5da1ad80a5

402144460965 has 64 divisors (see below), whose sum is σ = 777392878080. Its totient is φ = 196056599040.

The previous prime is 402144460937. The next prime is 402144460979. The reversal of 402144460965 is 569064441204.

402144460965 is a `hidden beast` number, since 40 + 2 + 144 + 460 + 9 + 6 + 5 = 666.

It is not a de Polignac number, because 402144460965 - 218 = 402144198821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 402144460965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931576 + ... + 1293105.

It is an arithmetic number, because the mean of its divisors is an integer number (12146763720).

Almost surely, 2402144460965 is an apocalyptic number.

402144460965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

402144460965 is a deficient number, since it is larger than the sum of its proper divisors (375248417115).

402144460965 is a wasteful number, since it uses less digits than its factorization.

402144460965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224811 (or 2224805 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 402144460965 in words is "four hundred two billion, one hundred forty-four million, four hundred sixty thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 103 117 135 195 309 351 515 585 927 1339 1545 1755 2781 4017 4635 6695 12051 13905 20085 36153 60255 180765 2224681 6674043 11123405 20022129 28920853 33370215 60066387 86762559 100110645 144604265 229142143 260287677 300331935 433812795 687426429 780863031 1145710715 1301438385 2062279287 2978847859 3437132145 3904315155 6186837861 8936543577 10311396435 14894239295 26809630731 30934189305 44682717885 80428892193 134048153655 402144460965