Search a number
-
+
1422493800768 = 2633978486623
BaseRepresentation
bin10100101100110011001…
…111001101100101000000
312000222201001001021021000
4110230303033031211000
5141301231403111033
63005252402532000
7204525502543065
oct24546317154500
95028631037230
101422493800768
114a9304736787
121ab832367000
13a41a9b50361
144cbc5baac6c
1527007ccea13
hex14b333cd940

1422493800768 has 112 divisors (see below), whose sum is σ = 4224980892160. Its totient is φ = 469276250112.

The previous prime is 1422493800731. The next prime is 1422493800829. The reversal of 1422493800768 is 8670083942241.

1422493800768 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 493 + 80 + 0 + 76 + 8 = 666.

It is a super-2 number, since 2×14224938007682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 4075696 + ... + 4410927.

It is an arithmetic number, because the mean of its divisors is an integer number (37723043680).

Almost surely, 21422493800768 is an apocalyptic number.

1422493800768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1422493800768 is an abundant number, since it is smaller than the sum of its proper divisors (2802487091392).

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

1422493800768 is an equidigital number, since it uses as much as digits as its factorization.

1422493800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486741 (or 8486725 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1422493800768 in words is "one trillion, four hundred twenty-two billion, four hundred ninety-three million, eight hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 288 291 388 432 576 582 776 864 873 1164 1552 1728 1746 2328 2619 3104 3492 4656 5238 6208 6984 9312 10476 13968 18624 20952 27936 41904 55872 83808 167616 8486623 16973246 25459869 33946492 50919738 67892984 76379607 101839476 135785968 152759214 203678952 229138821 271571936 305518428 407357904 458277642 543143872 611036856 814715808 823202431 916555284 1222073712 1629431616 1646404862 1833110568 2444147424 2469607293 3292809724 3666221136 4888294848 4939214586 6585619448 7332442272 7408821879 9878429172 13171238896 14664884544 14817643758 19756858344 22226465637 26342477792 29635287516 39513716688 44452931274 52684955584 59270575032 79027433376 88905862548 118541150064 158054866752 177811725096 237082300128 355623450192 474164600256 711246900384 1422493800768