Search a number
-
+
1222139094016 = 21017921932
BaseRepresentation
bin10001110010001101001…
…010101010010000000000
311022211112222022121120111
4101302031022222100000
5130010420102002031
62333235402121104
7154203513616441
oct21621512522000
94284488277514
101222139094016
11431340726105
12178a37ab0194
138b32a1ba839
144321a9552c8
1521bcd6421b1
hex11c8d2aa400

1222139094016 has 99 divisors (see below), whose sum is σ = 2469604998441. Its totient is φ = 604507275264.

The previous prime is 1222139093983. The next prime is 1222139094019. The reversal of 1222139094016 is 6104909312221.

The square root of 1222139094016 is 1105504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 296110105600 + 926028988416 = 544160^2 + 962304^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1222139094016.

It is not an unprimeable number, because it can be changed into a prime (1222139094019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6332326816 + ... + 6332327008.

Almost surely, 21222139094016 is an apocalyptic number.

1222139094016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1222139094016 is the 1105504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222139094016

1222139094016 is an abundant number, since it is smaller than the sum of its proper divisors (1247465904425).

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

1222139094016 is an frugal number, since it uses more digits than its factorization.

1222139094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 1222139094016 in words is "one trillion, two hundred twenty-two billion, one hundred thirty-nine million, ninety-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 179 193 256 358 386 512 716 772 1024 1432 1544 2864 3088 5728 6176 11456 12352 22912 24704 32041 34547 37249 45824 49408 64082 69094 74498 91648 98816 128164 138188 148996 183296 197632 256328 276376 297992 512656 552752 595984 1025312 1105504 1191968 2050624 2211008 2383936 4101248 4422016 4767872 6183913 6667571 8202496 8844032 9535744 12367826 13335142 16404992 17688064 19071488 24735652 26670284 32809984 35376128 38142976 49471304 53340568 98942608 106681136 197885216 213362272 395770432 426724544 791540864 853449088 1193495209 1583081728 1706898176 2386990418 3166163456 3413796352 4773980836 6332326912 6827592704 9547961672 19095923344 38191846688 76383693376 152767386752 305534773504 611069547008 1222139094016