Search a number
-
+
410324413020 = 223547694920939
BaseRepresentation
bin1011111100010010011…
…11011010101001011100
31110020010012202220010020
411332021033122221130
523210321022204040
6512300032112140
741434135651344
oct5761117325134
91406105686106
10410324413020
11149021485745
1267634995650
132c9025c3582
1415c07451d24
15aa17ed8cd0
hex5f893daa5c

410324413020 has 96 divisors (see below), whose sum is σ = 1173578112000. Its totient is φ = 107071236864.

The previous prime is 410324412989. The next prime is 410324413153. The reversal of 410324413020 is 20314423014.

It is a super-2 number, since 2×4103244130202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19585711 + ... + 19606649.

It is an arithmetic number, because the mean of its divisors is an integer number (12224772000).

Almost surely, 2410324413020 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 410324413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586789056000).

410324413020 is an abundant number, since it is smaller than the sum of its proper divisors (763253698980).

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

410324413020 is a wasteful number, since it uses less digits than its factorization.

410324413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27947 (or 27945 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 410324413020 its reverse (20314423014), we get a palindrome (430638836034).

The spelling of 410324413020 in words is "four hundred ten billion, three hundred twenty-four million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 6949 13898 20847 20939 27796 34745 41694 41878 62817 69490 83388 83756 104235 104695 125634 138980 208470 209390 251268 314085 326603 416940 418780 628170 653206 979809 984133 1256340 1306412 1633015 1959618 1968266 2952399 3266030 3919236 3936532 4899045 4920665 5904798 6532060 9798090 9841330 11809596 14761995 19596180 19682660 29523990 59047980 145505111 291010222 436515333 582020444 727525555 873030666 1455051110 1746061332 2182576665 2910102220 4365153330 6838740217 8730306660 13677480434 20516220651 27354960868 34193701085 41032441302 68387402170 82064882604 102581103255 136774804340 205162206510 410324413020