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321412010043400 = 235210331555721249
BaseRepresentation
bin100100100010100101001000…
…0101011110110100000001000
31120011000200120121102022021221
41021011022100223312200020
5314112003244032342100
63055330350010011424
7124462152144035563
oct11105122053664010
91504020517368257
10321412010043400
1193459082526151
123006b973a16b74
1310a4603a562773
1459525d23734da
1527259e5e0b01a
hex1245290af6808

321412010043400 has 48 divisors (see below), whose sum is σ = 748006334212500. Its totient is φ = 128440346234880.

The previous prime is 321412010043367. The next prime is 321412010043407. The reversal of 321412010043400 is 4340010214123.

It can be written as a sum of positive squares in 6 ways, for example, as 160935154184484 + 160476855858916 = 12686022^2 + 12667946^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (321412010043407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777654025 + ... + 778067224.

Almost surely, 2321412010043400 is an apocalyptic number.

It is an amenable number.

321412010043400 is an abundant number, since it is smaller than the sum of its proper divisors (426594324169100).

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

321412010043400 is a wasteful number, since it uses less digits than its factorization.

321412010043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555722298 (or 1555722289 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 321412010043400 its reverse (4340010214123), we get a palindrome (325752020257523).

The spelling of 321412010043400 in words is "three hundred twenty-one trillion, four hundred twelve billion, ten million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1033 2066 4132 5165 8264 10330 20660 25825 41320 51650 103300 206600 1555721249 3111442498 6222884996 7778606245 12445769992 15557212490 31114424980 38893031225 62228849960 77786062450 155572124900 311144249800 1607060050217 3214120100434 6428240200868 8035300251085 12856480401736 16070600502170 32141201004340 40176501255425 64282402008680 80353002510850 160706005021700 321412010043400