Search a number
-
+
531342574044436 = 227112251787793931
BaseRepresentation
bin111100011010000001101010…
…1011000010100010100010100
32120200022212001120012101210101
41320310003111120110110110
51024121004042423410221
65122023224142103444
7216630143212545160
oct17064032530242424
92520285046171711
10531342574044436
11144336135a80800
124b715900b7ab84
1319a6350b33572b
14952d191365ca0
15416668e088d91
hex1e340d5614514

531342574044436 has 144 divisors (see below), whose sum is σ = 1174220702516736. Its totient is φ = 205929563400000.

The previous prime is 531342574044341. The next prime is 531342574044439. The reversal of 531342574044436 is 634440475243135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531342574044439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668858391 + ... + 669652321.

It is an arithmetic number, because the mean of its divisors is an integer number (8154310434144).

Almost surely, 2531342574044436 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 531342574044436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587110351258368).

531342574044436 is an abundant number, since it is smaller than the sum of its proper divisors (642878128472300).

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

531342574044436 is a wasteful number, since it uses less digits than its factorization.

531342574044436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795002 (or 794989 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 55.

The spelling of 531342574044436 in words is "five hundred thirty-one trillion, three hundred forty-two billion, five hundred seventy-four million, forty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 251 308 484 502 787 847 1004 1574 1694 1757 2761 3148 3388 3514 5509 5522 7028 8657 11018 11044 17314 19327 22036 30371 34628 38654 60599 60742 77308 95227 121198 121484 190454 197537 212597 242396 380908 395074 425194 666589 790148 793931 850388 1333178 1382759 1587862 2172907 2666356 2765518 3175724 4345814 5531036 5557517 8691628 8733241 11115034 15210349 17466482 22230068 23901977 30420698 34932964 47803954 60841396 61132687 95607908 96065651 122265374 167313839 192131302 199276681 244530748 334627678 384262604 398553362 624823697 669255356 672459557 797106724 1249647394 1344919114 1394936767 2192043491 2499294788 2689838228 2789873534 4373765879 4384086982 5579747068 6873060667 8747531758 8768173964 13746121334 15344304437 17495063516 24112478401 27492242668 30688608874 48111424669 48224956802 61377217748 75603667337 96222849338 96449913604 151207334674 156830747947 168787348807 192445698676 302414669348 313661495894 337574697614 529225671359 627322991788 675149395228 1058451342718 1097815235629 1725138227417 2116902685436 2195630471258 3450276454834 4391260942516 6900552909668 12075967591919 18976520501587 24151935183838 37953041003174 48303870367676 75906082006348 132835643511109 265671287022218 531342574044436