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24002342040 = 23351918115813
BaseRepresentation
bin10110010110101001…
…101010110010011000
32021221202122022101010
4112112221222302120
5343124044421130
615005421253520
71506541353405
oct262651526230
967852568333
1024002342040
11a1a7772916
12479a4042a0
132356939371
141239a892ac
159573050b0
hex596a6ac98

24002342040 has 128 divisors (see below), whose sum is σ = 75851769600. Its totient is φ = 6059358720.

The previous prime is 24002342009. The next prime is 24002342053. The reversal of 24002342040 is 4024320042.

It is a super-2 number, since 2×240023420402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24002341998 and 24002342016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4126174 + ... + 4131986.

It is an arithmetic number, because the mean of its divisors is an integer number (592591950).

Almost surely, 224002342040 is an apocalyptic number.

24002342040 is a gapful number since it is divisible by the number (20) 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 24002342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37925884800).

24002342040 is an abundant number, since it is smaller than the sum of its proper divisors (51849427560).

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

24002342040 is a wasteful number, since it uses less digits than its factorization.

24002342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 24002342040 its reverse (4024320042), we get a palindrome (28026662082).

The spelling of 24002342040 in words is "twenty-four billion, two million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1811 2280 3622 5433 5813 7244 9055 10866 11626 14488 17439 18110 21732 23252 27165 29065 34409 34878 36220 43464 46504 54330 58130 68818 69756 72440 87195 103227 108660 110447 116260 137636 139512 172045 174390 206454 217320 220894 232520 275272 331341 344090 348780 412908 441788 516135 552235 662682 688180 697560 825816 883576 1032270 1104470 1325364 1376360 1656705 2064540 2208940 2650728 3313410 4129080 4417880 6626820 10527343 13253640 21054686 31582029 42109372 52636715 63164058 84218744 105273430 126328116 157910145 200019517 210546860 252656232 315820290 400039034 421093720 600058551 631640580 800078068 1000097585 1200117102 1263281160 1600156136 2000195170 2400234204 3000292755 4000390340 4800468408 6000585510 8000780680 12001171020 24002342040