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4131021444 = 22311231976907
BaseRepresentation
bin1111011000111010…
…0110001010000100
3101122220020122002020
43312032212022010
531430020141234
61521530043140
7204241050204
oct36616461204
911586218066
104131021444
11182a943610
129735794b0
1350ab070b4
142b28dc404
15192a06549
hexf63a6284

4131021444 has 96 divisors (see below), whose sum is σ = 11029810176. Its totient is φ = 1191146880.

The previous prime is 4131021413. The next prime is 4131021449. The reversal of 4131021444 is 4441201314.

It is not an unprimeable number, because it can be changed into a prime (4131021449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594639 + ... + 601545.

It is an arithmetic number, because the mean of its divisors is an integer number (114893856).

Almost surely, 24131021444 is an apocalyptic number.

4131021444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131021444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514905088).

4131021444 is an abundant number, since it is smaller than the sum of its proper divisors (6898788732).

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

4131021444 is a wasteful number, since it uses less digits than its factorization.

4131021444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7143 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4131021444 is about 64273.0226767032. The cubic root of 4131021444 is about 1604.5471487609.

Adding to 4131021444 its reverse (4441201314), we get a palindrome (8572222758).

The spelling of 4131021444 in words is "four billion, one hundred thirty-one million, twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 197 253 276 394 506 591 759 788 1012 1182 1518 2167 2364 3036 4334 4531 6501 6907 8668 9062 13002 13593 13814 18124 20721 26004 27186 27628 41442 49841 54372 75977 82884 99682 149523 151954 158861 199364 227931 299046 303908 317722 455862 476583 598092 635444 911724 953166 1360679 1747471 1906332 2721358 3494942 4082037 5242413 5442716 6989884 8164074 10484826 14967469 16328148 20969652 29934938 31295617 44902407 59869876 62591234 89804814 93886851 125182468 179609628 187773702 344251787 375547404 688503574 1032755361 1377007148 2065510722 4131021444