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321342425244 = 2232377914292137
BaseRepresentation
bin1001010110100011000…
…00000100100010011100
31010201102220110120020100
410223101200010202130
520231102130101434
6403342255221100
732134110355431
oct4532140044234
91121386416210
10321342425244
1111430a470275
1252340b17790
13243c1676bb9
14117a582db88
15855b1ea699
hex4ad180489c

321342425244 has 144 divisors (see below), whose sum is σ = 845782537600. Its totient is φ = 102779808768.

The previous prime is 321342425233. The next prime is 321342425249. The reversal of 321342425244 is 442524243123.

321342425244 is a `hidden beast` number, since 3 + 21 + 342 + 4 + 252 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321342425199 and 321342425208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321342425249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150369744 + ... + 150371880.

Almost surely, 2321342425244 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 321342425244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422891268800).

321342425244 is an abundant number, since it is smaller than the sum of its proper divisors (524440112356).

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

321342425244 is a wasteful number, since it uses less digits than its factorization.

321342425244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3687 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 321342425244 its reverse (442524243123), we get a palindrome (763866668367).

The spelling of 321342425244 in words is "three hundred twenty-one billion, three hundred forty-two million, four hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 316 333 444 474 666 711 948 1332 1422 1429 2137 2844 2858 2923 4274 4287 5716 5846 6411 8548 8574 8769 11692 12822 12861 17148 17538 19233 25644 25722 26307 35076 38466 51444 52614 52873 76932 79069 105228 105746 112891 158138 158619 168823 211492 225782 237207 316276 317238 337646 338673 451564 474414 475857 506469 634476 675292 677346 711621 948828 951714 1012938 1016019 1354692 1423242 1519407 1903428 2025876 2032038 2846484 3038814 3053773 4064076 4176967 6077628 6107546 6246451 8353934 9161319 12215092 12492902 12530901 16707868 18322638 18739353 24985804 25061802 27483957 36645276 37478706 37592703 50123604 54967914 56218059 74957412 75185406 109935828 112436118 112989601 150370812 224872236 225979202 241248067 338968803 451958404 482496134 677937606 723744201 964992268 1016906409 1355875212 1447488402 2033812818 2171232603 2894976804 4067625636 4342465206 8684930412 8926178479 17852356958 26778535437 35704713916 53557070874 80335606311 107114141748 160671212622 321342425244