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323212135440 = 24353736397763
BaseRepresentation
bin1001011010000001111…
…00011100110000010000
31010220021012122200110010
410231000330130300100
520243414301313230
6404252005434520
732231332551525
oct4550074346020
91126235580403
10323212135440
11115089908207
125278310ba40
132462bb338ac
1411901c9114c
15861a4239b0
hex4b40f1cc10

323212135440 has 80 divisors (see below), whose sum is σ = 1029037583808. Its totient is φ = 83860443648.

The previous prime is 323212135439. The next prime is 323212135447. The reversal of 323212135440 is 44531212323.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 323212135398 and 323212135407.

It is not an unprimeable number, because it can be changed into a prime (323212135447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18190002 + ... + 18207761.

Almost surely, 2323212135440 is an apocalyptic number.

323212135440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323212135440 is an abundant number, since it is smaller than the sum of its proper divisors (705825448368).

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

323212135440 is a wasteful number, since it uses less digits than its factorization.

323212135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36397816 (or 36397810 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 323212135440 its reverse (44531212323), we get a palindrome (367743347763).

The spelling of 323212135440 in words is "three hundred twenty-three billion, two hundred twelve million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 36397763 72795526 109193289 145591052 181988815 218386578 291182104 363977630 436773156 545966445 582364208 727955260 873546312 1091932890 1346717231 1455910520 1747092624 2183865780 2693434462 2911821040 4040151693 4367731560 5386868924 6733586155 8080303386 8735463120 10773737848 13467172310 16160606772 20200758465 21547475696 26934344620 32321213544 40401516930 53868689240 64642427088 80803033860 107737378480 161606067720 323212135440