Search a number
-
+
321132053424 = 243721310502749
BaseRepresentation
bin1001010110001001111…
…01100100001110110000
31010200220020121120100110
410223010331210032300
520230134301202144
6403305342221320
732125644262500
oct4530475441660
91120806546313
10321132053424
11114211743866
12522a2584840
1324389bcaa30
141178590ba00
1585479e30b9
hex4ac4f643b0

321132053424 has 120 divisors (see below), whose sum is σ = 1039268118000. Its totient is φ = 84694159872.

The previous prime is 321132053423. The next prime is 321132053461. The reversal of 321132053424 is 424350231123.

It is a junction number, because it is equal to n+sod(n) for n = 321132053391 and 321132053400.

It is not an unprimeable number, because it can be changed into a prime (321132053423) 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, 5220799 + ... + 5281950.

It is an arithmetic number, because the mean of its divisors is an integer number (8660567650).

Almost surely, 2321132053424 is an apocalyptic number.

It is an amenable number.

321132053424 is an abundant number, since it is smaller than the sum of its proper divisors (718136064576).

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

321132053424 is a wasteful number, since it uses less digits than its factorization.

321132053424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502787 (or 10502774 counting only the distinct ones).

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

Adding to 321132053424 its reverse (424350231123), we get a palindrome (745482284547).

The spelling of 321132053424 in words is "three hundred twenty-one billion, one hundred thirty-two million, fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 10502749 21005498 31508247 42010996 63016494 73519243 84021992 126032988 136535737 147038486 168043984 220557729 252065976 273071474 294076972 409607211 441115458 504131952 514634701 546142948 588153944 819214422 882230916 955750159 1029269402 1092285896 1176307888 1543904103 1638428844 1764461832 1911500318 2058538804 2184571792 2867250477 3087808206 3276857688 3528923664 3823000636 4117077608 5734500954 6175616412 6553715376 6690251113 7646001272 8234155216 11469001908 12351232824 13380502226 15292002544 20070753339 22938003816 24702465648 26761004452 40141506678 45876007632 53522008904 80283013356 107044017808 160566026712 321132053424