Search a number
-
+
430360230320442 = 233192161194101997
BaseRepresentation
bin110000111011010010000110…
…0101001110101100100111010
32002102210000222101212012101000
41201312210030221311210322
5422402010222430223232
64123144432132105430
7156435333461461122
oct14166441451654472
92072700871765330
10430360230320442
11115142826603184
1240326842465276
1315619a45b87b66
14783b791021c82
1534b49cd16227c
hex187690ca7593a

430360230320442 has 64 divisors (see below), whose sum is σ = 1007156447222400. Its totient is φ = 135840340880640.

The previous prime is 430360230320401. The next prime is 430360230320467. The reversal of 430360230320442 is 244023032063034.

430360230320442 is a `hidden beast` number, since 4 + 3 + 0 + 3 + 60 + 230 + 320 + 4 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 430360230320397 and 430360230320406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94833813 + ... + 99268184.

It is an arithmetic number, because the mean of its divisors is an integer number (15736819487850).

Almost surely, 2430360230320442 is an apocalyptic number.

430360230320442 is an abundant number, since it is smaller than the sum of its proper divisors (576796216901958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430360230320442 is a wasteful number, since it uses less digits than its factorization.

430360230320442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194104188 (or 194104182 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 430360230320442 its reverse (244023032063034), we get a palindrome (674383262383476).

The spelling of 430360230320442 in words is "four hundred thirty trillion, three hundred sixty billion, two hundred thirty million, three hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2161 4322 6483 12966 19449 38898 41059 58347 82118 116694 123177 246354 369531 739062 1108593 2217186 194101997 388203994 582305991 1164611982 1746917973 3493835946 3687937943 5240753919 7375875886 10481507838 11063813829 22127627658 33191441487 66382882974 99574324461 199148648922 419454415517 838908831034 1258363246551 2516726493102 3775089739653 7550179479306 7969633894823 11325269218959 15939267789646 22650538437918 23908901684469 47817803368938 71726705053407 143453410106814 215180115160221 430360230320442