Search a number
-
+
430244400430134 = 232892237120056791
BaseRepresentation
bin110000111010011100001010…
…0101001110111110000110110
32002102100222000000111002221200
41201310320110221313300312
5422343111013002231014
64123015314323353330
7156424063216605663
oct14164702451676066
92072328000432850
10430244400430134
111150a869765a204
12403082b7222846
131560bb46912424
147835d23870a6a
1534b199e334a09
hex1874e14a77c36

430244400430134 has 48 divisors (see below), whose sum is σ = 943091722740960. Its totient is φ = 141740006728320.

The previous prime is 430244400430123. The next prime is 430244400430189. The reversal of 430244400430134 is 431034004442034.

430244400430134 is a `hidden beast` number, since 4 + 3 + 0 + 244 + 400 + 4 + 3 + 0 + 1 + 3 + 4 = 666.

It is a super-2 number, since 2×4302444004301342 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56444722 + ... + 63612069.

It is an arithmetic number, because the mean of its divisors is an integer number (19647744223770).

Almost surely, 2430244400430134 is an apocalyptic number.

430244400430134 is an abundant number, since it is smaller than the sum of its proper divisors (512847322310826).

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

430244400430134 is a wasteful number, since it uses less digits than its factorization.

430244400430134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120059125 (or 120059122 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 430244400430134 its reverse (431034004442034), we get a palindrome (861278404872168).

The spelling of 430244400430134 in words is "four hundred thirty trillion, two hundred forty-four billion, four hundred million, four hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 2237 4474 6711 13422 20133 40266 199093 398186 597279 1194558 1791837 3583674 120056791 240113582 360170373 720340746 1080511119 2161022238 10685054399 21370108798 32055163197 64110326394 96165489591 192330979182 268567041467 537134082934 805701124401 1611402248802 2417103373203 4834206746406 23902466690563 47804933381126 71707400071689 143414800143378 215122200215067 430244400430134