Search a number
-
+
431440403430 = 235231061589327
BaseRepresentation
bin1100100011100111101…
…10100001101111100110
31112020121211020100102010
412101303312201233212
524032042220402210
6530111225055050
743112331630531
oct6216366415746
91466554210363
10431440403430
11156a77950893
126b748627486
13318b925a25a
1416c4ba39a18
15b351be8920
hex6473da1be6

431440403430 has 64 divisors (see below), whose sum is σ = 1081497028608. Its totient is φ = 109944658560.

The previous prime is 431440403419. The next prime is 431440403431. The reversal of 431440403430 is 34304044134.

It is a super-2 number, since 2×4314404034302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431440403431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437427 + ... + 1026753.

It is an arithmetic number, because the mean of its divisors is an integer number (16898391072).

Almost surely, 2431440403430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431440403430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540748514304).

431440403430 is an abundant number, since it is smaller than the sum of its proper divisors (650056625178).

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

431440403430 is a wasteful number, since it uses less digits than its factorization.

431440403430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590421.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 431440403430 its reverse (34304044134), we get a palindrome (465744447564).

The spelling of 431440403430 in words is "four hundred thirty-one billion, four hundred forty million, four hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1061 2122 3183 5305 6366 10610 15915 24403 31830 48806 73209 122015 146418 244030 366045 589327 732090 1178654 1767981 2946635 3535962 5893270 8839905 13554521 17679810 27109042 40663563 67772605 81327126 135545210 203317815 406635630 625275947 1250551894 1875827841 3126379735 3751655682 6252759470 9379139205 14381346781 18758278410 28762693562 43144040343 71906733905 86288080686 143813467810 215720201715 431440403430