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2014124420 = 2257211257727
BaseRepresentation
bin111100000001101…
…0001100110000100
312012100221010021202
41320003101212010
513111103440140
6531505402032
7100624526600
oct17003214604
95170833252
102014124420
11943a14540
12482639318
132613812c9
141516d4500
15bbc52915
hex780d1984

2014124420 has 144 divisors (see below), whose sum is σ = 5395807872. Its totient is φ = 624476160.

The previous prime is 2014124407. The next prime is 2014124447. The reversal of 2014124420 is 244214102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2014124392 and 2014124401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770097 + ... + 2770823.

It is an arithmetic number, because the mean of its divisors is an integer number (37470888).

Almost surely, 22014124420 is an apocalyptic number.

2014124420 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 2014124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697903936).

2014124420 is an abundant number, since it is smaller than the sum of its proper divisors (3381683452).

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

2014124420 is a wasteful number, since it uses less digits than its factorization.

2014124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2014124420 is about 44878.9975378239. The cubic root of 2014124420 is about 1262.8800374703.

Adding to 2014124420 its reverse (244214102), we get a palindrome (2258338522).

The spelling of 2014124420 in words is "two billion, fourteen million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 257 308 385 490 514 539 727 770 980 1028 1078 1285 1454 1540 1799 2156 2570 2695 2827 2908 3598 3635 5089 5140 5390 5654 7196 7270 7997 8995 10178 10780 11308 12593 14135 14540 15994 17990 19789 20356 25186 25445 28270 31988 35623 35980 39578 39985 50372 50890 55979 56540 62965 71246 79156 79970 98945 101780 111958 125930 138523 142492 159940 178115 186839 197890 223916 251860 277046 279895 356230 373678 391853 395780 554092 559790 692615 712460 747356 783706 934195 1119580 1307873 1385230 1567412 1868390 1959265 2055229 2615746 2770460 3736780 3918530 4110458 5231492 6539365 7837060 8220916 9155111 10276145 13078730 14386603 18310222 20552290 26157460 28773206 36620444 41104580 45775555 57546412 71933015 91551110 100706221 143866030 183102220 201412442 287732060 402824884 503531105 1007062210 2014124420