Search a number
-
+
3021124401344 = 267431061147811
BaseRepresentation
bin101011111101101001000…
…010111111100011000000
3101200211001100120001101002
4223331221002333203000
5343444230321320334
610231515124431132
7431161164464030
oct53755102774300
911624040501332
103021124401344
11a65284a67105
124096205484a8
1318bb7715007a
14a631a66d8c0
15538be065b7e
hex2bf690bf8c0

3021124401344 has 112 divisors (see below), whose sum is σ = 7017470482176. Its totient is φ = 1263456230400.

The previous prime is 3021124401329. The next prime is 3021124401349. The reversal of 3021124401344 is 4431044211203.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×30211244013442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3021124401349) 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, 20365199 + ... + 20513009.

It is an arithmetic number, because the mean of its divisors is an integer number (62655986448).

Almost surely, 23021124401344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3021124401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508735241088).

3021124401344 is an abundant number, since it is smaller than the sum of its proper divisors (3996346080832).

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

3021124401344 is a wasteful number, since it uses less digits than its factorization.

3021124401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148934 (or 148924 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 3021124401344 its reverse (4431044211203), we get a palindrome (7452168612547).

The spelling of 3021124401344 in words is "three trillion, twenty-one billion, one hundred twenty-four million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1061 1204 1376 2122 2408 2752 4244 4816 7427 8488 9632 14854 16976 19264 29708 33952 45623 59416 67904 91246 118832 147811 182492 237664 295622 319361 364984 475328 591244 638722 729968 1034677 1182488 1277444 1459936 2069354 2364976 2554888 2919872 4138708 4729952 5109776 6355873 8277416 9459904 10219552 12711746 16554832 20439104 25423492 33109664 44491111 50846984 66219328 88982222 101693968 156827471 177964444 203387936 313654942 355928888 406775872 627309884 711857776 1097792297 1254619768 1423715552 2195584594 2509239536 2847431104 4391169188 5018479072 6743581253 8782338376 10036958144 13487162506 17564676752 26974325012 35129353504 47205068771 53948650024 70258707008 94410137542 107897300048 188820275084 215794600096 377640550168 431589200192 755281100336 1510562200672 3021124401344