Search a number
-
+
212034442410 = 23257809416023
BaseRepresentation
bin1100010101111000111…
…1001101010010101010
3202021022001012200221200
43011132033031102222
511433221304124120
6241223545545030
721214261010640
oct3053617152252
9667261180850
10212034442410
1181a17a0797a
1235115aa5176
1316cc1652a0b
14a396507190
1557aec49e90
hex315e3cd4aa

212034442410 has 96 divisors (see below), whose sum is σ = 630825511680. Its totient is φ = 48404991744.

The previous prime is 212034442391. The next prime is 212034442483. The reversal of 212034442410 is 14244430212.

212034442410 is a `hidden beast` number, since 2 + 1 + 203 + 4 + 4 + 42 + 410 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301659 + ... + 717681.

It is an arithmetic number, because the mean of its divisors is an integer number (6571099080).

Almost surely, 2212034442410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212034442410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315412755840).

212034442410 is an abundant number, since it is smaller than the sum of its proper divisors (418791069270).

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

212034442410 is a wasteful number, since it uses less digits than its factorization.

212034442410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416852 (or 416849 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 212034442410 its reverse (14244430212), we get a palindrome (226278872622).

The spelling of 212034442410 in words is "two hundred twelve billion, thirty-four million, four hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 809 1618 2427 4045 4854 5663 7281 8090 11326 12135 14562 16989 24270 28315 33978 36405 50967 56630 72810 84945 101934 169890 254835 416023 509670 832046 1248069 2080115 2496138 2912161 3744207 4160230 5824322 6240345 7488414 8736483 12480690 14560805 17472966 18721035 26209449 29121610 37442070 43682415 52418898 87364830 131047245 262094490 336562607 673125214 1009687821 1682813035 2019375642 2355938249 3029063463 3365626070 4711876498 5048439105 6058126926 7067814747 10096878210 11779691245 14135629494 15145317315 21203444241 23559382490 30290634630 35339073735 42406888482 70678147470 106017221205 212034442410