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424243311001420 = 225311375698777897
BaseRepresentation
bin110000001110110001101011…
…1110110011011111101001100
32001122010021010202222211210211
41200131203113312123331030
5421101300300104021140
64102142404142212204
7155234365510240501
oct14035432766337514
92048107122884724
10424243311001420
111131a463a072949
123b6b9242584064
1315294c84963571
1476a96b30d54a8
15340a81e9032ea
hex181d8d7d9bf4c

424243311001420 has 96 divisors (see below), whose sum is σ = 927990949777920. Its totient is φ = 162737978449920.

The previous prime is 424243311001381. The next prime is 424243311001439. The reversal of 424243311001420 is 24100113342424.

It is a happy number.

It is a super-3 number, since 3×4242433110014203 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43941912 + ... + 52719808.

It is an arithmetic number, because the mean of its divisors is an integer number (9666572393520).

Almost surely, 2424243311001420 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 424243311001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463995474888960).

424243311001420 is an abundant number, since it is smaller than the sum of its proper divisors (503747638776500).

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

424243311001420 is a wasteful number, since it uses less digits than its factorization.

424243311001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8778643 (or 8778641 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 424243311001420 its reverse (24100113342424), we get a palindrome (448343424343844).

The spelling of 424243311001420 in words is "four hundred twenty-four trillion, two hundred forty-three billion, three hundred eleven million, one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 137 155 274 310 548 569 620 685 1138 1370 2276 2740 2845 4247 5690 8494 11380 16988 17639 21235 35278 42470 70556 77953 84940 88195 155906 176390 311812 352780 389765 779530 1559060 2416543 4833086 8777897 9666172 12082715 17555794 24165430 35111588 43889485 48330860 87778970 175557940 272114807 544229614 1088459228 1202571889 1360574035 2405143778 2721148070 4810287556 4994623393 5442296140 6012859445 9989246786 12025718890 19978493572 24051437780 24973116965 37279728559 49946233930 74559457118 99892467860 149118914236 154833325183 186398642795 309666650366 372797285590 619333300732 684263404841 745594571180 774166625915 1368526809682 1548333251830 2737053619364 3096666503660 3421317024205 6842634048410 13685268096820 21212165550071 42424331100142 84848662200284 106060827750355 212121655500710 424243311001420