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324311141420 = 225753157278393
BaseRepresentation
bin1001011100000100111…
…00110100110000101100
31011000002210121222020022
410232002130310300230
520303142123011140
6404553025141312
732300506134560
oct4560234646054
91130083558208
10324311141420
111155a3203712
1252a2b18a838
1324775726ca6
14119a7c116a0
158681b600b5
hex4b82734c2c

324311141420 has 96 divisors (see below), whose sum is σ = 798086556288. Its totient is φ = 108399163392.

The previous prime is 324311141419. The next prime is 324311141423. The reversal of 324311141420 is 24141113423.

It is a self number, because there is not a number n which added to its sum of digits gives 324311141420.

It is not an unprimeable number, because it can be changed into a prime (324311141423) by changing a digit.

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, 1025744 + ... + 1304136.

It is an arithmetic number, because the mean of its divisors is an integer number (8313401628).

Almost surely, 2324311141420 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 324311141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399043278144).

324311141420 is an abundant number, since it is smaller than the sum of its proper divisors (473775414868).

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

324311141420 is a wasteful number, since it uses less digits than its factorization.

324311141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278619 (or 278617 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 324311141420 its reverse (24141113423), we get a palindrome (348452254843).

The spelling of 324311141420 in words is "three hundred twenty-four billion, three hundred eleven million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 157 212 265 314 371 530 628 742 785 1060 1099 1484 1570 1855 2198 3140 3710 4396 5495 7420 8321 10990 16642 21980 33284 41605 58247 83210 116494 166420 232988 278393 291235 556786 582470 1113572 1164940 1391965 1948751 2783930 3897502 5567860 7795004 9743755 14754829 19487510 29509658 38975020 43707701 59019316 73774145 87415402 103283803 147548290 174830804 206567606 218538505 295096580 305953907 413135212 437077010 516419015 611907814 874154020 1032838030 1223815628 1529769535 2065676060 2316508153 3059539070 4633016306 6119078140 9266032612 11582540765 16215557071 23165081530 32431114142 46330163060 64862228284 81077785355 162155570710 324311141420