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3024134031040 = 265172909191099
BaseRepresentation
bin101100000000011100011…
…011110100011011000000
3101201002211002201002011121
4230000130123310123000
5344021411302443130
610233133515322024
7431325601064443
oct54003433643300
911632732632147
103024134031040
11a66589904481
1240a120450314
1318c236826745
14a652426165a
15539e83acd7a
hex2c01c6f46c0

3024134031040 has 112 divisors (see below), whose sum is σ = 7627481316000. Its totient is φ = 1138100191232.

The previous prime is 3024134031011. The next prime is 3024134031053. The reversal of 3024134031040 is 401304314203.

It is a junction number, because it is equal to n+sod(n) for n = 3024134030996 and 3024134031014.

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 15 ways as a sum of consecutive naturals, for example, 15729411 + ... + 15920509.

It is an arithmetic number, because the mean of its divisors is an integer number (68102511750).

Almost surely, 23024134031040 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 3024134031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813740658000).

3024134031040 is an abundant number, since it is smaller than the sum of its proper divisors (4603347284960).

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

3024134031040 is a wasteful number, since it uses less digits than its factorization.

3024134031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194042 (or 194032 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3024134031040 its reverse (401304314203), we get a palindrome (3425438345243).

The spelling of 3024134031040 in words is "three trillion, twenty-four billion, one hundred thirty-four million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 2909 5440 5818 11636 14545 23272 29090 46544 49453 58180 93088 98906 116360 186176 191099 197812 232720 247265 382198 395624 465440 494530 764396 791248 930880 955495 989060 1528792 1582496 1910990 1978120 3057584 3164992 3248683 3821980 3956240 6115168 6497366 7643960 7912480 12230336 12994732 15287920 15824960 16243415 25989464 30575840 32486830 51978928 61151680 64973660 103957856 129947320 207915712 259894640 519789280 555906991 1039578560 1111813982 2223627964 2779534955 4447255928 5559069910 8894511856 9450418847 11118139820 17789023712 18900837694 22236279640 35578047424 37801675388 44472559280 47252094235 75603350776 88945118560 94504188470 151206701552 177890237120 189008376940 302413403104 378016753880 604826806208 756033507760 1512067015520 3024134031040