Search a number
-
+
532315354144 = 2573239202921
BaseRepresentation
bin1111011111100000111…
…01111011010000100000
31212212222222020210101211
413233300131323100200
532210140212313034
61044313045235504
753313161566000
oct7576035732040
91785888223354
10532315354144
1119583215a352
12871bb402b94
133b2741028c2
141ba9ad76000
15dca7b62d64
hex7bf077b420

532315354144 has 96 divisors (see below), whose sum is σ = 1227272256000. Its totient is φ = 227179491840.

The previous prime is 532315354141. The next prime is 532315354177. The reversal of 532315354144 is 441453513235.

It is a junction number, because it is equal to n+sod(n) for n = 532315354097 and 532315354106.

It is not an unprimeable number, because it can be changed into a prime (532315354141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2521804 + ... + 2724724.

It is an arithmetic number, because the mean of its divisors is an integer number (12784086000).

Almost surely, 2532315354144 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 532315354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613636128000).

532315354144 is an abundant number, since it is smaller than the sum of its proper divisors (694956901856).

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

532315354144 is a wasteful number, since it uses less digits than its factorization.

532315354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203191 (or 203169 counting only the distinct ones).

The product of its digits is 432000, while the sum is 40.

Adding to 532315354144 its reverse (441453513235), we get a palindrome (973768867379).

The spelling of 532315354144 in words is "five hundred thirty-two billion, three hundred fifteen million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 239 343 392 478 686 784 956 1372 1568 1673 1912 2744 3346 3824 5488 6692 7648 10976 11711 13384 23422 26768 46844 53536 81977 93688 163954 187376 202921 327908 374752 405842 655816 811684 1311632 1420447 1623368 2623264 2840894 3246736 5681788 6493472 9943129 11363576 19886258 22727152 39772516 45454304 48498119 69601903 79545032 96996238 139203806 159090064 193992476 278407612 318180128 339486833 387984952 556815224 678973666 775969904 1113630448 1357947332 1551939808 2227260896 2376407831 2715894664 4752815662 5431789328 9505631324 10863578656 16634854817 19011262648 33269709634 38022525296 66539419268 76045050592 133078838536 266157677072 532315354144