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24012242421324 = 2232931279790089
BaseRepresentation
bin1010111010110110010010…
…01011100000011001001100
310011000112210110102122110220
411131123021023200121030
511121404033024440244
6123023023305431340
75025553515630333
oct535331113403114
9104015713378426
1024012242421324
117718597937a83
12283989749b550
131052463531c51
145d02ad480d1a
152b99309ea319
hex15d6c92e064c

24012242421324 has 144 divisors (see below), whose sum is σ = 59966404898400. Its totient is φ = 7469318599680.

The previous prime is 24012242421301. The next prime is 24012242421331. The reversal of 24012242421324 is 42312424221042.

It is a super-2 number, since 2×240122424213242 (a number of 28 digits) contains 22 as substring.

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, 266494072 + ... + 266584160.

It is an arithmetic number, because the mean of its divisors is an integer number (416433367350).

Almost surely, 224012242421324 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 24012242421324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29983202449200).

24012242421324 is an abundant number, since it is smaller than the sum of its proper divisors (35954162477076).

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

24012242421324 is a wasteful number, since it uses less digits than its factorization.

24012242421324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90984 (or 90951 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 24012242421324 its reverse (42312424221042), we get a palindrome (66324666642366).

The spelling of 24012242421324 in words is "twenty-four trillion, twelve billion, two hundred forty-two million, four hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 797 899 961 1594 1798 1922 2391 2697 2883 3188 3596 3844 4782 5394 5766 9564 10788 11532 23113 24707 27869 46226 49414 55738 69339 74121 83607 90089 92452 98828 111476 138678 148242 167214 180178 270267 277356 296484 334428 360356 540534 716503 765917 1081068 1433006 1531834 2149509 2297751 2612581 2792759 2866012 3063668 4299018 4595502 5225162 5585518 7837743 8378277 8598036 9191004 10450324 11171036 15675486 16756554 22211593 31350972 33513108 44423186 66634779 71800933 80990011 86575529 88846372 133269558 143601866 161980022 173151058 215402799 242970033 259726587 266539116 287203732 323960044 346302116 430805598 485940066 519453174 861611196 971880132 1038906348 2082227057 2225828923 2510690341 4164454114 4451657846 5021380682 6246681171 6677486769 7532071023 8328908228 8903315692 10042761364 12493362342 13354973538 15064142046 24986724684 26709947076 30128284092 64549038767 69000696613 129098077534 138001393226 193647116301 207002089839 258196155068 276002786452 387294232602 414004179678 774588465204 828008359356 2001020201777 4002040403554 6003060605331 8004080807108 12006121210662 24012242421324