Search a number
-
+
451035475062240 = 2535939657239713
BaseRepresentation
bin110011010001101101110000…
…1010001011010110111100000
32012010222120101202102200120210
41212203123201101122313200
5433104231123103442430
64235134500424334120
7164001144352230105
oct14643334121326740
92163876352380523
10451035475062240
11120794086224a32
1242705844014340
13164896029c3543
147d5433a908aac
153722703b242b0
hex19a36e145ade0

451035475062240 has 48 divisors (see below), whose sum is σ = 1420761746447568. Its totient is φ = 120276126683136.

The previous prime is 451035475062203. The next prime is 451035475062259. The reversal of 451035475062240 is 42260574530154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 451035475062240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469828619377 + ... + 469828620336.

It is an arithmetic number, because the mean of its divisors is an integer number (29599203050991).

Almost surely, 2451035475062240 is an apocalyptic number.

451035475062240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451035475062240 is an abundant number, since it is smaller than the sum of its proper divisors (969726271385328).

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

451035475062240 is a wasteful number, since it uses less digits than its factorization.

451035475062240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939657239731 (or 939657239723 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 451035475062240 in words is "four hundred fifty-one trillion, thirty-five billion, four hundred seventy-five million, sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 939657239713 1879314479426 2818971719139 3758628958852 4698286198565 5637943438278 7517257917704 9396572397130 11275886876556 14094858595695 15034515835408 18793144794260 22551773753112 28189717191390 30069031670816 37586289588520 45103547506224 56379434382780 75172579177040 90207095012448 112758868765560 150345158354080 225517737531120 451035475062240