Search a number
-
+
412320234320 = 24531388142839
BaseRepresentation
bin1100000000000000011…
…00110111101101010000
31110102021022021010020122
412000000030313231100
523223412434444240
6513230045325412
741534452110341
oct6000014675520
91412238233218
10412320234320
11149956028835
1267ab1266868
132cb5cc36917
1415d565400c8
15aad33234b5
hex6000337b50

412320234320 has 80 divisors (see below), whose sum is σ = 989846645760. Its totient is φ = 159562982400.

The previous prime is 412320234311. The next prime is 412320234341. The reversal of 412320234320 is 23432023214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 412320234320.

It is a congruent number.

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, 9603461 + ... + 9646299.

It is an arithmetic number, because the mean of its divisors is an integer number (12373083072).

Almost surely, 2412320234320 is an apocalyptic number.

412320234320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412320234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494923322880).

412320234320 is an abundant number, since it is smaller than the sum of its proper divisors (577526411440).

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

412320234320 is a wasteful number, since it uses less digits than its factorization.

412320234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46764 (or 46758 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 412320234320 its reverse (23432023214), we get a palindrome (435752257534).

The spelling of 412320234320 in words is "four hundred twelve billion, three hundred twenty million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 3881 7762 15524 19405 31048 38810 42839 62096 77620 85678 120311 155240 171356 214195 240622 310480 342712 428390 481244 601555 685424 856780 962488 1203110 1328009 1713560 1924976 2406220 2656018 3427120 4812440 5312036 6640045 9624880 10624072 13280090 21248144 26560180 53120360 106240720 166258159 332516318 665032636 831290795 1330065272 1662581590 2660130544 3325163180 5154002929 6650326360 10308005858 13300652720 20616011716 25770014645 41232023432 51540029290 82464046864 103080058580 206160117160 412320234320