Search a number
-
+
402003130419 = 321129263532403
BaseRepresentation
bin1011101100110010100…
…00001111100000110011
31102102122021210221100100
411312121100033200303
523041300300133134
6504402214123443
741021004141252
oct5663120174063
91372567727310
10402003130419
11145541317990
1265ab2050583
132bba7640507
1415658234799
15a6cc6c8999
hex5d9940f833

402003130419 has 48 divisors (see below), whose sum is σ = 657795790080. Its totient is φ = 234342064320.

The previous prime is 402003130349. The next prime is 402003130429. The reversal of 402003130419 is 914031300204.

402003130419 is a `hidden beast` number, since 40 + 200 + 3 + 1 + 3 + 0 + 419 = 666.

It is not a de Polignac number, because 402003130419 - 28 = 402003130163 is a prime.

It is a super-2 number, since 2×4020031304192 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402003130392 and 402003130401.

It is not an unprimeable number, because it can be changed into a prime (402003130429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488872 + ... + 1021274.

It is an arithmetic number, because the mean of its divisors is an integer number (13704078960).

Almost surely, 2402003130419 is an apocalyptic number.

402003130419 is a deficient number, since it is larger than the sum of its proper divisors (255792659661).

402003130419 is a wasteful number, since it uses less digits than its factorization.

402003130419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532712 (or 532709 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 402003130419 in words is "four hundred two billion, three million, one hundred thirty thousand, four hundred nineteen".

Divisors: 1 3 9 11 29 33 87 99 261 263 319 789 957 2367 2871 2893 7627 8679 22881 26037 68643 83897 251691 532403 755073 1597209 4791627 5856433 15439687 17569299 46319061 52707897 138957183 140021989 169836557 420065967 509509671 1260197901 1528529013 1540241879 4060637681 4620725637 12181913043 13862176911 36545739129 44667014491 134001043473 402003130419