Search a number
-
+
431453142 = 23443241257
BaseRepresentation
bin11001101101110…
…111001111010110
31010001212002110000
4121231313033112
51340423000032
6110451312130
713456201611
oct3155671726
91101762400
10431453142
112015a914a
121005ab646
136b504b23
1441431178
1527d27e7c
hex19b773d6

431453142 has 80 divisors (see below), whose sum is σ = 997227792. Its totient is φ = 139345920.

The previous prime is 431453137. The next prime is 431453153. The reversal of 431453142 is 241354134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1678678 + ... + 1678934.

Almost surely, 2431453142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431453142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498613896).

431453142 is an abundant number, since it is smaller than the sum of its proper divisors (565774650).

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

431453142 is a wasteful number, since it uses less digits than its factorization.

431453142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 431453142 is about 20771.4501660332. The cubic root of 431453142 is about 755.6335147339.

The spelling of 431453142 in words is "four hundred thirty-one million, four hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 241 257 258 387 482 514 723 771 774 1161 1446 1542 2169 2313 2322 3483 4338 4626 6507 6939 6966 10363 11051 13014 13878 19521 20726 20817 22102 31089 33153 39042 41634 61937 62178 66306 93267 99459 123874 185811 186534 198918 279801 298377 371622 557433 559602 596754 839403 895131 1114866 1672299 1678806 1790262 2663291 3344598 5016897 5326582 7989873 10033794 15979746 23969619 47939238 71908857 143817714 215726571 431453142