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149297541156 = 223219227142391
BaseRepresentation
bin1000101100001011010…
…0111011000000100100
3112021100210122220111100
42023002310323000210
54421230132304111
6152330352240100
713533506106201
oct2130264730044
9467323586440
10149297541156
115835362a455
1224b27540030
1311103b8bb3a
147324376ca8
153d3c0c3756
hex22c2d3b024

149297541156 has 108 divisors (see below), whose sum is σ = 399778264704. Its totient is φ = 46971511200.

The previous prime is 149297541121. The next prime is 149297541209. The reversal of 149297541156 is 651145792941.

149297541156 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 97 + 541 + 1 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3500721 + ... + 3543111.

Almost surely, 2149297541156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149297541156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199889132352).

149297541156 is an abundant number, since it is smaller than the sum of its proper divisors (250480723548).

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

149297541156 is a wasteful number, since it uses less digits than its factorization.

149297541156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42710 (or 42686 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 149297541156 in words is "one hundred forty-nine billion, two hundred ninety-seven million, five hundred forty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 271 342 361 542 684 722 813 1083 1084 1444 1626 2166 2439 3249 3252 4332 4878 5149 6498 9756 10298 12996 15447 20596 30894 42391 46341 61788 84782 92682 97831 127173 169564 185364 195662 254346 293493 381519 391324 508692 586986 763038 805429 880479 1173972 1526076 1610858 1760958 2416287 3221716 3521916 4832574 7248861 9665148 11487961 14497722 15303151 22975922 28995444 30606302 34463883 45909453 45951844 61212604 68927766 91818906 103391649 137728359 137855532 183637812 206783298 218271259 275456718 413566596 436542518 550913436 654813777 873085036 1309627554 1964441331 2619255108 3928882662 4147153921 7857765324 8294307842 12441461763 16588615684 24882923526 37324385289 49765847052 74648770578 149297541156