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412230013400 = 235213748730893
BaseRepresentation
bin1011111111110101101…
…00101101000111011000
31110102001000111102102002
411333322310231013120
523223221340412100
6513213103500132
741532305204522
oct5777264550730
91412030442362
10412230013400
1114990a106497
1267a86bb7648
132cb4733826a
1415d48576a12
15aaca4512d5
hex5ffad2d1d8

412230013400 has 96 divisors (see below), whose sum is σ = 967444374240. Its totient is φ = 163347010560.

The previous prime is 412230013387. The next prime is 412230013409. The reversal of 412230013400 is 4310032214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412230013409) 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, 13328354 + ... + 13359246.

It is an arithmetic number, because the mean of its divisors is an integer number (10077545565).

Almost surely, 2412230013400 is an apocalyptic number.

412230013400 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 412230013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483722187120).

412230013400 is an abundant number, since it is smaller than the sum of its proper divisors (555214360840).

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

412230013400 is a wasteful number, since it uses less digits than its factorization.

412230013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31533 (or 31524 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 412230013400 its reverse (4310032214), we get a palindrome (416540045614).

The spelling of 412230013400 in words is "four hundred twelve billion, two hundred thirty million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 487 548 685 974 1096 1370 1948 2435 2740 3425 3896 4870 5480 6850 9740 12175 13700 19480 24350 27400 30893 48700 61786 66719 97400 123572 133438 154465 247144 266876 308930 333595 533752 617860 667190 772325 1235720 1334380 1544650 1667975 2668760 3089300 3335950 4232341 6178600 6671900 8464682 13343800 15044891 16929364 21161705 30089782 33858728 42323410 60179564 75224455 84646820 105808525 120359128 150448910 169293640 211617050 300897820 376122275 423234100 601795640 752244550 846468200 1504489100 2061150067 3008978200 4122300134 8244600268 10305750335 16489200536 20611500670 41223001340 51528751675 82446002680 103057503350 206115006700 412230013400