Search a number
-
+
431130340432 = 241110179730431
BaseRepresentation
bin1100100011000010101…
…11101110110001010000
31112012211012210111221101
412101201113232301100
524030423331343212
6530020351234144
743101545300011
oct6214127566120
91465735714841
10431130340432
11156928923980
126b680818954
1331869c4801c
1416c1c7a7008
15b33489d157
hex64615eec50

431130340432 has 80 divisors (see below), whose sum is σ = 921460022784. Its totient is φ = 193778240000.

The previous prime is 431130340429. The next prime is 431130340463. The reversal of 431130340432 is 234043031134.

It is a self number, because there is not a number n which added to its sum of digits gives 431130340432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14152257 + ... + 14182687.

Almost surely, 2431130340432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431130340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460730011392).

431130340432 is an abundant number, since it is smaller than the sum of its proper divisors (490329682352).

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

431130340432 is a wasteful number, since it uses less digits than its factorization.

431130340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31348 (or 31342 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 431130340432 its reverse (234043031134), we get a palindrome (665173371566).

The spelling of 431130340432 in words is "four hundred thirty-one billion, one hundred thirty million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 797 808 1111 1594 1616 2222 3188 4444 6376 8767 8888 12752 17534 17776 30431 35068 60862 70136 80497 121724 140272 160994 243448 321988 334741 486896 643976 669482 885467 1287952 1338964 1770934 2677928 3073531 3541868 5355856 6147062 7083736 12294124 14167472 24253507 24588248 33808841 48507014 49176496 67617682 97014028 135235364 194028056 266788577 270470728 388056112 533577154 540941456 1067154308 2134308616 2449604207 4268617232 4899208414 9798416828 19596833656 26945646277 39193667312 53891292554 107782585108 215565170216 431130340432