Search a number
-
+
1126428224544 = 25337186248053
BaseRepresentation
bin10000011001000100010…
…110101010110000100000
310222200111201102200022000
4100121010112222300200
5121423411111141134
62221250214044000
7144244640633610
oct20310426526040
93880451380260
101126428224544
113a4796404287
12162386649600
13822b619306c
143c73b3cca40
151e47ac40e99
hex106445aac20

1126428224544 has 96 divisors (see below), whose sum is σ = 3754760768640. Its totient is φ = 321836633856.

The previous prime is 1126428224539. The next prime is 1126428224557. The reversal of 1126428224544 is 4454228246211.

1126428224544 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 4 + 2 + 82 + 24 + 544 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1126428224544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93117979 + ... + 93130074.

It is an arithmetic number, because the mean of its divisors is an integer number (39112091340).

Almost surely, 21126428224544 is an apocalyptic number.

1126428224544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1126428224544 is an abundant number, since it is smaller than the sum of its proper divisors (2628332544096).

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

1126428224544 is a wasteful number, since it uses less digits than its factorization.

1126428224544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186248079 (or 186248065 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The spelling of 1126428224544 in words is "one trillion, one hundred twenty-six billion, four hundred twenty-eight million, two hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 186248053 372496106 558744159 744992212 1117488318 1303736371 1489984424 1676232477 2234976636 2607472742 2979968848 3352464954 3911209113 4469953272 5028697431 5214945484 5959937696 6704929908 7822418226 8939906544 10057394862 10429890968 11733627339 13409859816 15644836452 17879813088 20114789724 20859781936 23467254678 26819719632 31289672904 35200882017 40229579448 41719563872 46934509356 53639439264 62579345808 70401764034 80459158896 93869018712 125158691616 140803528068 160918317792 187738037424 281607056136 375476074848 563214112272 1126428224544