Search a number
-
+
14355225420 = 22351931340231
BaseRepresentation
bin11010101111010001…
…10101101101001100
31101001102220000020120
431113220311231030
5213344414203140
610332242144540
71015510255104
oct152750655514
941042800216
1014355225420
1160a7172368
122947652150
13147a0a4633
149a2744204
155904001d0
hex357a35b4c

14355225420 has 96 divisors (see below), whose sum is σ = 42446369280. Its totient is φ = 3614906880.

The previous prime is 14355225419. The next prime is 14355225473. The reversal of 14355225420 is 2452255341.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336705 + ... + 376935.

It is an arithmetic number, because the mean of its divisors is an integer number (442149680).

Almost surely, 214355225420 is an apocalyptic number.

14355225420 is a gapful number since it is divisible by the number (10) 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 14355225420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21223184640).

14355225420 is an abundant number, since it is smaller than the sum of its proper divisors (28091143860).

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

14355225420 is a wasteful number, since it uses less digits than its factorization.

14355225420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40575 (or 40573 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 14355225420 in words is "fourteen billion, three hundred fifty-five million, two hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 313 380 570 626 939 1140 1252 1565 1878 3130 3756 4695 5947 6260 9390 11894 17841 18780 23788 29735 35682 40231 59470 71364 80462 89205 118940 120693 160924 178410 201155 241386 356820 402310 482772 603465 764389 804620 1206930 1528778 2293167 2413860 3057556 3821945 4586334 7643890 9172668 11465835 12592303 15287780 22931670 25184606 37776909 45863340 50369212 62961515 75553818 125923030 151107636 188884545 239253757 251846060 377769090 478507514 717761271 755538180 957015028 1196268785 1435522542 2392537570 2871045084 3588806355 4785075140 7177612710 14355225420