Search a number
-
+
305453200008120 = 233531509161318419
BaseRepresentation
bin100010101110011101101110…
…1011110110110001110111000
31111001112001002200211111210020
41011130323131132312032320
5310014021123200224440
63001351132441450440
7121224160021651563
oct10534733536661670
91431461080744706
10305453200008120
1189365a7a28a93a
122a312a627a0a20
1310159161819558
145560029a9d4da
15254a81321e3d0
hex115cedd7b63b8

305453200008120 has 128 divisors (see below), whose sum is σ = 947777981184000. Its totient is φ = 78671766090240.

The previous prime is 305453200008119. The next prime is 305453200008167. The reversal of 305453200008120 is 21800002354503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78765730 + ... + 82552689.

It is an arithmetic number, because the mean of its divisors is an integer number (7404515478000).

Almost surely, 2305453200008120 is an apocalyptic number.

305453200008120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305453200008120 is an abundant number, since it is smaller than the sum of its proper divisors (642324781175880).

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

305453200008120 is a wasteful number, since it uses less digits than its factorization.

305453200008120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161318973 (or 161318969 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 305453200008120 in words is "three hundred five trillion, four hundred fifty-three billion, two hundred million, eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 509 620 744 930 1018 1240 1527 1860 2036 2545 3054 3720 4072 5090 6108 7635 10180 12216 15270 15779 20360 30540 31558 47337 61080 63116 78895 94674 126232 157790 189348 236685 315580 378696 473370 631160 946740 1893480 161318419 322636838 483955257 645273676 806592095 967910514 1290547352 1613184190 1935821028 2419776285 3226368380 3871642056 4839552570 5000870989 6452736760 9679105140 10001741978 15002612967 19358210280 20003483956 25004354945 30005225934 40006967912 50008709890 60010451868 75013064835 82111075271 100017419780 120020903736 150026129670 164222150542 200034839560 246333225813 300052259340 328444301084 410555376355 492666451626 600104518680 656888602168 821110752710 985332903252 1231666129065 1642221505420 1970665806504 2463332258130 2545443333401 3284443010840 4926664516260 5090886666802 7636330000203 9853329032520 10181773333604 12727216667005 15272660000406 20363546667208 25454433334010 30545320000812 38181650001015 50908866668020 61090640001624 76363300002030 101817733336040 152726600004060 305453200008120