Search a number
-
+
321023220040314 = 233113987713552753
BaseRepresentation
bin100100011111110000000101…
…0111111101100001001111010
31120002122112001011102210011000
41020333200022333230021322
5314034121023312242224
63054432010434545430
7124422106441402401
oct11077401277541172
91502575034383130
10321023220040314
1193319201722410
123000854aa38276
1310a1848a4c63bc
14593b86cd06638
15271a83d7330c9
hex123f80afec27a

321023220040314 has 64 divisors (see below), whose sum is σ = 778257682577280. Its totient is φ = 97277316975360.

The previous prime is 321023220040273. The next prime is 321023220040331. The reversal of 321023220040314 is 413040022320123.

321023220040314 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 23 + 220 + 0 + 403 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16910562 + ... + 30463314.

It is an arithmetic number, because the mean of its divisors is an integer number (12160276290270).

Almost surely, 2321023220040314 is an apocalyptic number.

321023220040314 is an abundant number, since it is smaller than the sum of its proper divisors (457234462536966).

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

321023220040314 is a wasteful number, since it uses less digits than its factorization.

321023220040314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13592652 (or 13592646 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 321023220040314 its reverse (413040022320123), we get a palindrome (734063242360437).

The spelling of 321023220040314 in words is "three hundred twenty-one trillion, twenty-three billion, two hundred twenty million, forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 39877 79754 119631 239262 358893 438647 717786 877294 1076679 1315941 2153358 2631882 3947823 7895646 11843469 13552753 23686938 27105506 40658259 81316518 121974777 149080283 243949554 298160566 365924331 447240849 731848662 894481698 1341722547 2683445094 4025167641 8050335282 540443131381 1080886262762 1621329394143 3242658788286 4863988182429 5944874445191 9727976364858 11889748890382 14591964547287 17834623335573 29183929094574 35669246671146 53503870006719 107007740013438 160511610020157 321023220040314