Search a number
-
+
412331320000 = 265416363241
BaseRepresentation
bin1100000000000001101…
…11001010001011000000
31110102022002010022221101
412000000313022023000
523223423304220000
6513231123104144
741534645251165
oct6000067121300
91412262108841
10412331320000
1114996130a656
1267ab4b12054
132cb623186b2
1415d57bc806c
15aad42b2e6a
hex6000dca2c0

412331320000 has 140 divisors (see below), whose sum is σ = 1028736617656. Its totient is φ = 163918080000.

The previous prime is 412331319979. The next prime is 412331320067. The reversal of 412331320000 is 23133214.

It is a super-3 number, since 3×4123313200003 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412331320000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6488380 + ... + 6551620.

Almost surely, 2412331320000 is an apocalyptic number.

412331320000 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 412331320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514368308828).

412331320000 is an abundant number, since it is smaller than the sum of its proper divisors (616405297656).

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

412331320000 is an equidigital number, since it uses as much as digits as its factorization.

412331320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63436 (or 63411 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 412331320000 its reverse (23133214), we get a palindrome (412354453214).

The spelling of 412331320000 in words is "four hundred twelve billion, three hundred thirty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 163 200 250 320 326 400 500 625 652 800 815 1000 1250 1304 1600 1630 2000 2500 2608 3260 4000 4075 5000 5216 6520 8000 8150 10000 10432 13040 16300 20000 20375 26080 32600 40000 40750 52160 63241 65200 81500 101875 126482 130400 163000 203750 252964 260800 316205 326000 407500 505928 632410 652000 815000 1011856 1264820 1304000 1581025 1630000 2023712 2529640 3162050 3260000 4047424 5059280 6324100 6520000 7905125 10118560 10308283 12648200 15810250 20237120 20616566 25296400 31620500 39525625 41233132 50592800 51541415 63241000 79051250 82466264 101185600 103082830 126482000 158102500 164932528 206165660 252964000 257707075 316205000 329865056 412331320 505928000 515414150 632410000 659730112 824662640 1030828300 1264820000 1288535375 1649325280 2061656600 2529640000 2577070750 3298650560 4123313200 5154141500 6442676875 8246626400 10308283000 12885353750 16493252800 20616566000 25770707500 41233132000 51541415000 82466264000 103082830000 206165660000 412331320000