Search a number
-
+
3022322032032 = 253331304131277
BaseRepresentation
bin101011111110110000011…
…011100101110110100000
3101200221010211002222211020
4223332300123211312200
5344004203420011112
610232234030045440
7431232646253502
oct53766033456640
911627124088736
103022322032032
11a65839aa4836
124098b5649880
1318c0082c4c94
14a63d1743d72
155393e28448c
hex2bfb06e5da0

3022322032032 has 96 divisors (see below), whose sum is σ = 7960435164864. Its totient is φ = 1004034662400.

The previous prime is 3022322032019. The next prime is 3022322032187. The reversal of 3022322032032 is 2302302232203.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3022322031993 and 3022322032011.

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, 96615178 + ... + 96646454.

It is an arithmetic number, because the mean of its divisors is an integer number (82921199634).

Almost surely, 23022322032032 is an apocalyptic number.

3022322032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3022322032032 is an abundant number, since it is smaller than the sum of its proper divisors (4938113132832).

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

3022322032032 is a wasteful number, since it uses less digits than its factorization.

3022322032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34662 (or 34654 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 3022322032032 its reverse (2302302232203), we get a palindrome (5324624264235).

The spelling of 3022322032032 in words is "three trillion, twenty-two billion, three hundred twenty-two million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 993 1324 1986 2648 3041 3972 5296 6082 7944 9123 10592 12164 15888 18246 24328 31277 31776 36492 48656 62554 72984 93831 97312 125108 145968 187662 250216 291936 375324 500432 750648 1000864 1006571 1501296 2013142 3002592 3019713 4026284 6039426 8052568 10352687 12078852 16105136 20705374 24157704 31058061 32210272 41410748 48315408 62116122 82821496 95113357 96630816 124232244 165642992 190226714 248464488 285340071 331285984 380453428 496928976 570680142 760906856 993857952 1141360284 1521813712 2282720568 3043627424 4565441136 9130882272 31482521167 62965042334 94447563501 125930084668 188895127002 251860169336 377790254004 503720338672 755580508008 1007440677344 1511161016016 3022322032032