Search a number
-
+
30461353046000 = 245380918826547
BaseRepresentation
bin1101110110100010101100…
…01000001010111111110000
310222212002002001211210101222
412323101112020022333300
512443034322334433000
6144441430304044212
76262521503520362
oct673212610127760
9128762061753358
1030461353046000
119784650739a48
1234bb745603668
1313cc6549263b6
147744a19b0d32
1537c582ae2a85
hex1bb45620aff0

30461353046000 has 80 divisors (see below), whose sum is σ = 73746600763680. Its totient is φ = 12169479334400.

The previous prime is 30461353045969. The next prime is 30461353046039. The reversal of 30461353046000 is 64035316403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7795274 + ... + 11031273.

It is an arithmetic number, because the mean of its divisors is an integer number (921832509546).

Almost surely, 230461353046000 is an apocalyptic number.

It is an amenable number.

30461353046000 is an abundant number, since it is smaller than the sum of its proper divisors (43285247717680).

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

30461353046000 is a wasteful number, since it uses less digits than its factorization.

30461353046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18827379 (or 18827363 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 30461353046000 in words is "thirty trillion, four hundred sixty-one billion, three hundred fifty-three million, forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 809 1000 1618 2000 3236 4045 6472 8090 12944 16180 20225 32360 40450 64720 80900 101125 161800 202250 323600 404500 809000 1618000 18826547 37653094 75306188 94132735 150612376 188265470 301224752 376530940 470663675 753061880 941327350 1506123760 1882654700 2353318375 3765309400 4706636750 7530618800 9413273500 15230676523 18826547000 30461353046 37653094000 60922706092 76153382615 121845412184 152306765230 243690824368 304613530460 380766913075 609227060920 761533826150 1218454121840 1523067652300 1903834565375 3046135304600 3807669130750 6092270609200 7615338261500 15230676523000 30461353046000