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432426624234 = 231124015032953
BaseRepresentation
bin1100100101011101010…
…00101010010011101010
31112100011112222120000120
412102232220222103222
524041102203433414
6530353135144110
743145635442043
oct6225650522352
91470145876016
10432426624234
11157433613100
126b982975036
1331a15681667
1416d029db8ca
15b3ad5a72a9
hex64aea2a4ea

432426624234 has 96 divisors (see below), whose sum is σ = 955212435072. Its totient is φ = 130407552000.

The previous prime is 432426624197. The next prime is 432426624269.

432426624234 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 146434902 + ... + 146437854.

It is an arithmetic number, because the mean of its divisors is an integer number (9950129532).

Almost surely, 2432426624234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432426624234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477606217536).

432426624234 is an abundant number, since it is smaller than the sum of its proper divisors (522785810838).

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

432426624234 is a wasteful number, since it uses less digits than its factorization.

432426624234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3873 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 432426624234 in words is "four hundred thirty-two billion, four hundred twenty-six million, six hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 401 503 726 802 1006 1203 1509 2406 2953 3018 4411 5533 5906 8822 8859 11066 13233 16599 17718 26466 32483 33198 48521 60863 64966 97042 97449 121726 145563 182589 194898 201703 291126 357313 365178 403406 605109 714626 1071939 1184153 1210218 1485359 2143878 2218733 2368306 2970718 3552459 4437466 4456077 6656199 7104918 8912154 13025683 13312398 16338949 24406063 26051366 32677898 39077049 48812126 49016847 73218189 78154098 98033694 143282513 146436378 179728439 286565026 359456878 429847539 539185317 595628959 859695078 1078370634 1191257918 1786886877 3573773754 6551918549 13103837098 19655755647 39311511294 72071104039 144142208078 216213312117 432426624234