Search a number
-
+
380675323314 = 23211132107106321
BaseRepresentation
bin1011000101000100000…
…01000111010110110010
31100101120220210002011200
411202202001013112302
522214110340321224
6450514013152030
736334326600516
oct5424201072662
91311526702150
10380675323314
11137497328820
126193b48b616
1329b88b42b00
14145d3870146
159d800c85c9
hex58a20475b2

380675323314 has 144 divisors (see below), whose sum is σ = 983430867744. Its totient is φ = 105486451200.

The previous prime is 380675323283. The next prime is 380675323321. The reversal of 380675323314 is 413323576083.

380675323314 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 7 + 5 + 323 + 314 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 380675323314.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527274 + ... + 3633594.

It is an arithmetic number, because the mean of its divisors is an integer number (6829381026).

Almost surely, 2380675323314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380675323314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491715433872).

380675323314 is an abundant number, since it is smaller than the sum of its proper divisors (602755544430).

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

380675323314 is a wasteful number, since it uses less digits than its factorization.

380675323314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106473 (or 106457 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

Adding to 380675323314 its reverse (413323576083), we get a palindrome (793998899397).

The spelling of 380675323314 in words is "three hundred eighty billion, six hundred seventy-five million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 107 117 143 169 198 214 234 286 321 338 429 507 642 858 963 1014 1177 1287 1391 1521 1859 1926 2354 2574 2782 3042 3531 3718 4173 5577 7062 8346 10593 11154 12519 15301 16731 18083 21186 25038 30602 33462 36166 45903 54249 91806 106321 108498 137709 162747 198913 212642 275418 318963 325494 397826 596739 637926 956889 1169531 1193478 1382173 1790217 1913778 2339062 2764346 3508593 3580434 4146519 7017186 8293038 10525779 11376347 12439557 15203903 17968249 21051558 22752694 24879114 30407806 34129041 35936498 45611709 53904747 68258082 91223418 102387123 107809494 125139817 136835127 147892511 161714241 197650739 204774246 250279634 273670254 295785022 323428482 375419451 395301478 443677533 592952217 750838902 887355066 1126258353 1185904434 1331032599 1626817621 1778856651 1922602643 2252516706 2662065198 3253635242 3557713302 3845205286 4880452863 5767807929 9760905726 11535615858 14641358589 17303423787 21148629073 29282717178 34606847574 42297258146 63445887219 126891774438 190337661657 380675323314