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145114112 = 2101113991
BaseRepresentation
bin10001010011001…
…00010000000000
3101010001120010202
420221210100000
5244122122422
622222144332
73411310133
oct1051442000
9333046122
10145114112
1174a05420
12407220a8
13240ab050
14153b621a
15cb16b92
hex8a64400

145114112 has 88 divisors (see below), whose sum is σ = 341144832. Its totient is φ = 60825600.

The previous prime is 145114103. The next prime is 145114117. The reversal of 145114112 is 211411541.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (145114117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145937 + ... + 146927.

Almost surely, 2145114112 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 145114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170572416).

145114112 is an abundant number, since it is smaller than the sum of its proper divisors (196030720).

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

145114112 is a wasteful number, since it uses less digits than its factorization.

145114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1017 counting only the distinct ones).

The product of its digits is 160, while the sum is 20.

The square root of 145114112 is about 12046.3318898327. The cubic root of 145114112 is about 525.4965666111.

Adding to 145114112 its reverse (211411541), we get a palindrome (356525653).

The spelling of 145114112 in words is "one hundred forty-five million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 991 1024 1144 1408 1664 1982 2288 2816 3328 3964 4576 5632 6656 7928 9152 10901 11264 12883 13312 15856 18304 21802 25766 31712 36608 43604 51532 63424 73216 87208 103064 126848 141713 146432 174416 206128 253696 283426 348832 412256 507392 566852 697664 824512 1014784 1133704 1395328 1649024 2267408 2790656 3298048 4534816 5581312 6596096 9069632 11162624 13192192 18139264 36278528 72557056 145114112