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148144444 = 2273195683
BaseRepresentation
bin10001101010010…
…00000100111100
3101022202111222021
420311020010330
5300411110234
622411125524
73446131000
oct1065100474
9338674867
10148144444
1176695128
12417438a4
13248cc446
1415964700
15d0149b4
hex8d4813c

148144444 has 48 divisors (see below), whose sum is σ = 318304000. Its totient is φ = 60138288.

The previous prime is 148144421. The next prime is 148144471. The reversal of 148144444 is 444441841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23227 + ... + 28909.

Almost surely, 2148144444 is an apocalyptic number.

148144444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148144444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159152000).

148144444 is an abundant number, since it is smaller than the sum of its proper divisors (170159556).

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

148144444 is a wasteful number, since it uses less digits than its factorization.

148144444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5711 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The square root of 148144444 is about 12171.4602246403. The cubic root of 148144444 is about 529.1292739761.

The spelling of 148144444 in words is "one hundred forty-eight million, one hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1372 1862 3724 5683 6517 11366 13034 22732 26068 39781 79562 107977 159124 215954 278467 431908 556934 755839 1113868 1511678 1949269 3023356 3898538 5290873 7797076 10581746 21163492 37036111 74072222 148144444