Search a number
-
+
430416652242231 = 34191744916028021
BaseRepresentation
bin110000111011101100010111…
…1101010011000110100110111
32002102222102121112122210120000
41201313120233222120310313
5422403421300433222411
64123230402541442343
7156442401613055664
oct14167305752306467
92072872545583500
10430416652242231
1111516474a285106
1240335769b703b3
131562216823bcb5
1478403c45d0a6b
1534b61d16d3956
hex187762fa98d37

430416652242231 has 40 divisors (see below), whose sum is σ = 676847341038000. Its totient is φ = 271826499957120.

The previous prime is 430416652242179. The next prime is 430416652242251. The reversal of 430416652242231 is 132242256614034.

430416652242231 is a `hidden beast` number, since 4 + 3 + 0 + 4 + 1 + 66 + 522 + 42 + 23 + 1 = 666.

It is not a de Polignac number, because 430416652242231 - 227 = 430416518024503 is a prime.

It is a super-2 number, since 2×4304166522422312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430416652242251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18840001 + ... + 34868021.

It is an arithmetic number, because the mean of its divisors is an integer number (16921183525950).

Almost surely, 2430416652242231 is an apocalyptic number.

430416652242231 is a deficient number, since it is larger than the sum of its proper divisors (246430688795769).

430416652242231 is a wasteful number, since it uses less digits than its factorization.

430416652242231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16045501 (or 16045492 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 430416652242231 in words is "four hundred thirty trillion, four hundred sixteen billion, six hundred fifty-two million, two hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 17449 52347 157041 331531 471123 994593 1413369 2983779 8951337 16028021 26854011 48084063 144252189 304532399 432756567 913597197 1298269701 2740791591 8222374773 24667124319 279672938429 839018815287 2517056445861 5313785830151 7551169337583 15941357490453 22653508012749 47824072471359 143472217414077 430416652242231