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145484870112 = 25321729715047
BaseRepresentation
bin1000011101111110010…
…0101111000111100000
3111220112002110011001200
42013133210233013200
54340423111320422
6150500153401200
713340151664161
oct2073744570740
9456462404050
10145484870112
115677746424a
1224242709200
131094700917a
147081c67768
153bb75032ac
hex21df92f1e0

145484870112 has 72 divisors (see below), whose sum is σ = 438059237616. Its totient is φ = 45642310656.

The previous prime is 145484870099. The next prime is 145484870177. The reversal of 145484870112 is 211078484541.

145484870112 is a `hidden beast` number, since 1 + 4 + 54 + 8 + 487 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14852628 + ... + 14862419.

It is an arithmetic number, because the mean of its divisors is an integer number (6084156078).

Almost surely, 2145484870112 is an apocalyptic number.

145484870112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145484870112 is an abundant number, since it is smaller than the sum of its proper divisors (292574367504).

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

145484870112 is a wasteful number, since it uses less digits than its factorization.

145484870112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29715080 (or 29715069 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 145484870112 in words is "one hundred forty-five billion, four hundred eighty-four million, eight hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 29715047 59430094 89145141 118860188 178290282 237720376 267435423 356580564 475440752 505155799 534870846 713161128 950881504 1010311598 1069741692 1426322256 1515467397 2020623196 2139483384 2852644512 3030934794 4041246392 4278966768 4546402191 6061869588 8082492784 8557933536 9092804382 12123739176 16164985568 18185608764 24247478352 36371217528 48494956704 72742435056 145484870112