Search a number
-
+
322607052040 = 235713347255413
BaseRepresentation
bin1001011000111001110…
…00001111010100001000
31010211201001002021001211
410230130320033110020
520241144401131130
6404111552422504
732210334461140
oct4543470172410
91124631067054
10322607052040
111148a92a8089
1252634547a34
1324563678290
1411885783920
1585d224ea2a
hex4b1ce0f508

322607052040 has 128 divisors (see below), whose sum is σ = 895951445760. Its totient is φ = 101805179904.

The previous prime is 322607052037. The next prime is 322607052049. The reversal of 322607052040 is 40250706223.

It is a junction number, because it is equal to n+sod(n) for n = 322607051993 and 322607052011.

It is not an unprimeable number, because it can be changed into a prime (322607052049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135374 + ... + 1390786.

It is an arithmetic number, because the mean of its divisors is an integer number (6999620670).

Almost surely, 2322607052040 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 322607052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447975722880).

322607052040 is an abundant number, since it is smaller than the sum of its proper divisors (573344393720).

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

322607052040 is a wasteful number, since it uses less digits than its factorization.

322607052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255791 (or 255787 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 322607052040 its reverse (40250706223), we get a palindrome (362857758263).

The spelling of 322607052040 in words is "three hundred twenty-two billion, six hundred seven million, fifty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 347 364 455 520 694 728 910 1388 1735 1820 2429 2776 3470 3640 4511 4858 6940 9022 9716 12145 13880 18044 19432 22555 24290 31577 36088 45110 48580 63154 90220 97160 126308 157885 180440 252616 255413 315770 510826 631540 1021652 1263080 1277065 1787891 2043304 2554130 3320369 3575782 5108260 6640738 7151564 8939455 10216520 13281476 14303128 16601845 17878910 23242583 26562952 33203690 35757820 46485166 66407380 71515640 88628311 92970332 116212915 132814760 177256622 185940664 232425830 354513244 443141555 464851660 620398177 709026488 886283110 929703320 1152168043 1240796354 1772566220 2304336086 2481592708 3101990885 3545132440 4608672172 4963185416 5760840215 6203981770 8065176301 9217344344 11521680430 12407963540 16130352602 23043360860 24815927080 32260705204 40325881505 46086721720 64521410408 80651763010 161303526020 322607052040