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150044248055025 = 3252313226092
BaseRepresentation
bin100010000111011011100110…
…000110110001110011110001
3201200021002102121222212220100
4202013123212012301303301
5124131311110000230100
61251041213113303013
743414224225052302
oct4207334606616361
9650232377885810
10150044248055025
1143899454421985
12149b36b7104a69
13659515ba511ac
14290a274c6c7a9
151252eddd39400
hex8876e61b1cf1

150044248055025 has 81 divisors (see below), whose sum is σ = 269710653193059. Its totient is φ = 79737358371840.

The previous prime is 150044248054949. The next prime is 150044248055029. The reversal of 150044248055025 is 520550842440051.

The square root of 150044248055025 is 12249255.

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

150044248055025 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 44 + 24 + 80 + 5 + 502 + 5 = 666.

150044248055025 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 149057507805921 + 986740249104 = 12208911^2 + 993348^2 .

It is not a de Polignac number, because 150044248055025 - 233 = 150035658120433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (150044248055029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 57510250921 + ... + 57510253529.

Almost surely, 2150044248055025 is an apocalyptic number.

150044248055025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

150044248055025 is the 12249255-th square number.

150044248055025 is the 6124628-th centered octagonal number.

It is an amenable number.

150044248055025 is a deficient number, since it is larger than the sum of its proper divisors (119666405138034).

150044248055025 is an frugal number, since it uses more digits than its factorization.

150044248055025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 45.

The spelling of 150044248055025 in words is "one hundred fifty trillion, forty-four billion, two hundred forty-eight million, fifty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 313 939 1565 2609 2817 4695 7825 7827 13045 14085 23475 23481 39135 65225 70425 97969 117405 195675 293907 489845 587025 816617 881721 1469535 2449225 2449851 4083085 4408605 6806881 7347675 7349553 12249255 20415425 20420643 22043025 34034405 36747765 61246275 61261929 102103215 170172025 183738825 255601121 306309645 510516075 766803363 1278005605 1531548225 2130553753 2300410089 3834016815 6390028025 6391661259 10652768765 11502050445 19170084075 19174983777 31958306295 53263843825 57510252225 95874918885 159791531475 479374594425 666863324689 2000589974067 3334316623445 6001769922201 10002949870335 16671583117225 30008849611005 50014749351675 150044248055025