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150445464129 = 347126072
BaseRepresentation
bin1000110000011100111…
…1111001101001000001
3112101022210200102210000
42030013033321221001
54431103014323004
6153040320230213
713604115226332
oct2140717715101
9471283612700
10150445464129
11588925a6a24
12251a7a6b369
131125794b6bc
1473d29cc289
153da7c73c39
hex23073f9a41

150445464129 has 45 divisors (see below), whose sum is σ = 228325601361. Its totient is φ = 98721435960.

The previous prime is 150445464109. The next prime is 150445464133. The reversal of 150445464129 is 921464544051.

The square root of 150445464129 is 387873.

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

150445464129 is a `hidden beast` number, since 1 + 5 + 0 + 44 + 546 + 41 + 29 = 666.

It is not a de Polignac number, because 150445464129 - 221 = 150443366977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150445464109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 247850544 + ... + 247851150.

Almost surely, 2150445464129 is an apocalyptic number.

150445464129 is the 387873-rd square number.

150445464129 is the 193937-th centered octagonal number.

It is an amenable number.

150445464129 is a deficient number, since it is larger than the sum of its proper divisors (77880137232).

150445464129 is an frugal number, since it uses more digits than its factorization.

150445464129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 150445464129 in words is "one hundred fifty billion, four hundred forty-five million, four hundred sixty-four thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 71 81 213 607 639 1821 1917 5041 5463 5751 15123 16389 43097 45369 49167 129291 136107 368449 387873 408321 1105347 1163619 3059887 3316041 3490857 9179661 9948123 26159879 27538983 29844369 78479637 82616949 235438911 247850847 706316733 1857351409 2118950199 5572054227 16716162681 50148488043 150445464129