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4324145540106 = 2371947577199813
BaseRepresentation
bin111110111011001011001…
…010001010110000001010
3120022101101010201020212110
4332323023022022300022
51031321322224240411
613110252433523150
7624260233432230
oct76731312126012
916271333636773
104324145540106
111417950477597
1259a06b7134b6
132549c4120582
1410d40b164950
15777333082a6
hex3eecb28ac0a

4324145540106 has 128 divisors (see below), whose sum is σ = 10643788062720. Its totient is φ = 1143551250432.

The previous prime is 4324145540101. The next prime is 4324145540123. The reversal of 4324145540106 is 6010455414234.

4324145540106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43241455401062 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4324145540101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21541056 + ... + 21740868.

It is an arithmetic number, because the mean of its divisors is an integer number (83154594240).

Almost surely, 24324145540106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4324145540106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321894031360).

4324145540106 is an abundant number, since it is smaller than the sum of its proper divisors (6319642522614).

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

4324145540106 is a wasteful number, since it uses less digits than its factorization.

4324145540106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200468.

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 4324145540106 in words is "four trillion, three hundred twenty-four billion, one hundred forty-five million, five hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 57 94 114 133 141 266 282 329 399 577 658 798 893 987 1154 1731 1786 1974 2679 3462 4039 5358 6251 8078 10963 12117 12502 18753 21926 24234 27119 32889 37506 54238 65778 76741 81357 153482 162714 189833 199813 230223 379666 399626 460446 515261 569499 599439 1030522 1138998 1198878 1398691 1545783 2797382 3091566 3606827 3796447 4196073 7213654 7592894 8392146 9391211 10820481 11389341 18782422 21640962 22778682 26575129 28173633 53150258 56347266 65738477 79725387 115292101 131476954 159450774 178433009 197215431 230584202 345876303 356866018 394430862 535299027 691752606 807044707 1070598054 1249031063 1614089414 2190549919 2421134121 2498062126 3747093189 4381099838 4842268242 5418728747 6571649757 7494186378 10837457494 13143299514 15333849433 16256186241 30667698866 32512372482 37931101229 46001548299 75862202458 92003096598 102955846193 113793303687 205911692386 227586607374 308867538579 617735077158 720690923351 1441381846702 2162072770053 4324145540106