Search a number
-
+
532314240040 = 235112443248267
BaseRepresentation
bin1111011111100000110…
…01101011010000101000
31212212222220011012010201
413233300121223100220
532210134421140130
61044313005321544
753313146245612
oct7576031532050
91785886135121
10532314240040
11195831569300
12871bab662b4
133b273b0277b
141ba9ab65db2
15dca79e2bca
hex7bf066b428

532314240040 has 96 divisors (see below), whose sum is σ = 1319464974240. Its totient is φ = 193131086720.

The previous prime is 532314240037. The next prime is 532314240041. The reversal of 532314240040 is 40042413235.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 532314239990 and 532314240008.

It is not an unprimeable number, because it can be changed into a prime (532314240041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2019987 + ... + 2268253.

It is an arithmetic number, because the mean of its divisors is an integer number (13744426815).

Almost surely, 2532314240040 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 532314240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659732487120).

532314240040 is an abundant number, since it is smaller than the sum of its proper divisors (787150734200).

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

532314240040 is a wasteful number, since it uses less digits than its factorization.

532314240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248743 (or 248728 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 532314240040 its reverse (40042413235), we get a palindrome (572356653275).

The spelling of 532314240040 in words is "five hundred thirty-two billion, three hundred fourteen million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 443 484 605 886 968 1210 1772 2215 2420 3544 4430 4840 4873 8860 9746 17720 19492 24365 38984 48730 53603 97460 107206 194920 214412 248267 268015 428824 496534 536030 993068 1072060 1241335 1986136 2144120 2482670 2730937 4965340 5461874 9930680 10923748 13654685 21847496 27309370 30040307 54618740 60080614 109237480 109982281 120161228 150201535 219964562 240322456 300403070 439929124 549911405 600806140 879858248 1099822810 1201612280 1209805091 2199645620 2419610182 4399291240 4839220364 6049025455 9678440728 12098050910 13307856001 24196101820 26615712002 48392203640 53231424004 66539280005 106462848008 133078560010 266157120020 532314240040