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402140013 = 311293741277
BaseRepresentation
bin10111111110000…
…010101101101101
31001000200211101120
4113332002231231
51310421440023
6103523131153
712652063602
oct2776025555
91030624346
10402140013
11196aa7820
12b2813ab9
1365410692
143b5a06a9
15254878e3
hex17f82b6d

402140013 has 64 divisors (see below), whose sum is σ = 638910720. Its totient is φ = 222566400.

The previous prime is 402139987. The next prime is 402140017. The reversal of 402140013 is 310041204.

It is not a de Polignac number, because 402140013 - 217 = 402008941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 402139974 and 402140001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402140017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1451631 + ... + 1451907.

It is an arithmetic number, because the mean of its divisors is an integer number (9982980).

Almost surely, 2402140013 is an apocalyptic number.

It is an amenable number.

402140013 is a deficient number, since it is larger than the sum of its proper divisors (236770707).

402140013 is a wasteful number, since it uses less digits than its factorization.

402140013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 402140013 is about 20053.4289586594. The cubic root of 402140013 is about 738.1179426075.

Adding to 402140013 its reverse (310041204), we get a palindrome (712181217).

The spelling of 402140013 in words is "four hundred two million, one hundred forty thousand, thirteen".

Divisors: 1 3 11 29 33 37 41 87 111 123 277 319 407 451 831 957 1073 1189 1221 1353 1517 3047 3219 3567 4551 8033 9141 10249 11357 11803 13079 16687 24099 30747 34071 35409 39237 43993 50061 88363 112739 124927 131979 265089 297221 329353 338217 374781 420209 483923 891663 988059 1260627 1451769 3269431 3622883 4622299 9808293 10868649 12186061 13866897 36558183 134046671 402140013