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4124430421000 = 235367184733329
BaseRepresentation
bin111100000001001011001…
…101011100110000001000
3112121021212122111000111021
4330001023031130300020
51020033313141433000
612434423121442224
7603660142064611
oct74011315346010
915537778430437
104124430421000
1113501854a364a
125674134a0374
1323bc16b37596
141038a2c3cc08
1572444da811a
hex3c04b35cc08

4124430421000 has 128 divisors (see below), whose sum is σ = 9800811820800. Its totient is φ = 1624220083200.

The previous prime is 4124430420931. The next prime is 4124430421019. The reversal of 4124430421000 is 1240344214.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 123732336 + ... + 123765664.

It is an arithmetic number, because the mean of its divisors is an integer number (76568842350).

Almost surely, 24124430421000 is an apocalyptic number.

4124430421000 is a gapful number since it is divisible by the number (40) 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 4124430421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900405910400).

4124430421000 is an abundant number, since it is smaller than the sum of its proper divisors (5676381399800).

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

4124430421000 is a wasteful number, since it uses less digits than its factorization.

4124430421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35264 (or 35250 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4124430421000 its reverse (1240344214), we get a palindrome (4125670765214).

The spelling of 4124430421000 in words is "four trillion, one hundred twenty-four billion, four hundred thirty million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 1847 2680 3350 3694 6700 7388 8375 9235 13400 14776 16750 18470 33329 33500 36940 46175 66658 67000 73880 92350 123749 133316 166645 184700 230875 247498 266632 333290 369400 461750 494996 618745 666580 833225 923500 989992 1237490 1333160 1666450 1847000 2233043 2474980 3093725 3332900 4166125 4466086 4949960 6187450 6665800 8332250 8932172 11165215 12374900 15468625 16664500 17864344 22330430 24749800 30937250 33329000 44660860 55826075 61558663 61874500 89321720 111652150 123117326 123749000 223304300 246234652 279130375 307793315 446608600 492469304 558260750 615586630 1116521500 1231173260 1538966575 2233043000 2462346520 3077933150 4124430421 6155866300 7694832875 8248860842 12311732600 15389665750 16497721684 20622152105 30779331500 32995443368 41244304210 61558663000 82488608420 103110760525 164977216840 206221521050 412443042100 515553802625 824886084200 1031107605250 2062215210500 4124430421000