Search a number
-
+
531314413120 = 26519250334913
BaseRepresentation
bin1111011101101001100…
…11101000111001000000
31212210102012210201110001
413232310303220321000
532201112442204440
61044025451445344
753246315665411
oct7566463507100
91783365721401
10531314413120
11195369153567
1286b80156854
133b1449262ca
141ba04061808
15dc49d47b9a
hex7bb4ce8e40

531314413120 has 112 divisors (see below), whose sum is σ = 1332351757440. Its totient is φ = 201253994496.

The previous prime is 531314413109. The next prime is 531314413219. The reversal of 531314413120 is 21314413135.

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, 15200784 + ... + 15235696.

Almost surely, 2531314413120 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 531314413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666175878720).

531314413120 is an abundant number, since it is smaller than the sum of its proper divisors (801037344320).

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

531314413120 is a wasteful number, since it uses less digits than its factorization.

531314413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37452 (or 37442 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 531314413120 its reverse (21314413135), we get a palindrome (552628826255).

The spelling of 531314413120 in words is "five hundred thirty-one billion, three hundred fourteen million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 2503 3040 5006 6080 10012 12515 20024 25030 34913 40048 47557 50060 69826 80096 95114 100120 139652 160192 174565 190228 200240 237785 279304 349130 380456 400480 475570 558608 663347 698260 760912 800960 951140 1117216 1326694 1396520 1521824 1902280 2234432 2653388 2793040 3043648 3316735 3804560 5306776 5586080 6633470 7609120 10613552 11172160 13266940 15218240 21227104 26533880 42454208 53067760 87387239 106135520 174774478 212271040 349548956 436936195 699097912 873872390 1398195824 1660357541 1747744780 2796391648 3320715082 3495489560 5592783296 6641430164 6990979120 8301787705 13282860328 13981958240 16603575410 26565720656 27963916480 33207150820 53131441312 66414301640 106262882624 132828603280 265657206560 531314413120