Search a number
-
+
428585214420 = 223351172152393
BaseRepresentation
bin1100011110010011010…
…10110110000111010100
31111222020211200201102000
412033021222312013110
524010220303330140
6524520032315300
742651512133366
oct6171152660724
91458224621360
10428585214420
111558421a9050
126b0903a2b30
1331552878abc
1416a5a76ad36
15b23620ba30
hex63c9ab61d4

428585214420 has 96 divisors (see below), whose sum is σ = 1454592263040. Its totient is φ = 103899444480.

The previous prime is 428585214383. The next prime is 428585214461. The reversal of 428585214420 is 24412585824.

It is a happy number.

428585214420 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 8 + 5 + 214 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 36070257 + ... + 36082136.

It is an arithmetic number, because the mean of its divisors is an integer number (15152002740).

Almost surely, 2428585214420 is an apocalyptic number.

It is an amenable number.

428585214420 is an abundant number, since it is smaller than the sum of its proper divisors (1026007048620).

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

428585214420 is a wasteful number, since it uses less digits than its factorization.

428585214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72152422 (or 72152414 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 428585214420 in words is "four hundred twenty-eight billion, five hundred eighty-five million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 72152393 144304786 216457179 288609572 360761965 432914358 649371537 721523930 793676323 865828716 1082285895 1298743074 1443047860 1587352646 1948114611 2164571790 2381028969 2597486148 3174705292 3246857685 3896229222 3968381615 4329143580 4762057938 6493715370 7143086907 7792458444 7936763230 9524115876 9740573055 11905144845 12987430740 14286173814 15873526460 19481146110 21429260721 23810289690 28572347628 35715434535 38962292220 42858521442 47620579380 71430869070 85717042884 107146303605 142861738140 214292607210 428585214420