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4112310301044 = 22311471889350899
BaseRepresentation
bin111011110101111000110…
…010110111000101110100
3112120010120222100010112120
4323311320302313011310
51014334002414113134
612425100321315540
7603050611550121
oct73657062670564
915503528303476
104112310301044
111346025a59090
12564bb0495bb0
1323aa34b3637a
141030732b3748
1571e85d0b649
hex3bd78cb7174

4112310301044 has 96 divisors (see below), whose sum is σ = 10696105728000. Its totient is φ = 1218991580160.

The previous prime is 4112310301039. The next prime is 4112310301049. The reversal of 4112310301044 is 4401030132114.

It is an interprime number because it is at equal distance from previous prime (4112310301039) and next prime (4112310301049).

It is a super-2 number, since 2×41123103010442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112310301049) 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, 11543907 + ... + 11894805.

It is an arithmetic number, because the mean of its divisors is an integer number (111417768000).

Almost surely, 24112310301044 is an apocalyptic number.

4112310301044 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 4112310301044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348052864000).

4112310301044 is an abundant number, since it is smaller than the sum of its proper divisors (6583795426956).

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

4112310301044 is a wasteful number, since it uses less digits than its factorization.

4112310301044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352853 (or 352851 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4112310301044 its reverse (4401030132114), we get a palindrome (8513340433158).

The spelling of 4112310301044 in words is "four trillion, one hundred twelve billion, three hundred ten million, three hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 1889 2068 3102 3778 5667 6204 7556 11334 20779 22668 41558 62337 83116 88783 124674 177566 249348 266349 350899 355132 532698 701798 976613 1052697 1065396 1403596 1953226 2105394 2929839 3859889 3906452 4210788 5859678 7719778 11579667 11719356 15439556 16492253 23159334 32984506 46318668 49476759 65969012 98953518 181414783 197907036 362829566 544244349 662848211 725659132 1088488698 1325696422 1988544633 2176977396 2651392844 3977089266 7291330321 7954178532 14582660642 21873990963 29165321284 31153865917 43747981926 62307731834 87495963852 93461597751 124615463668 186923195502 342692525087 373846391004 685385050174 1028077575261 1370770100348 2056155150522 4112310301044