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14744563148 = 22721729331461
BaseRepresentation
bin11011011101101100…
…00010110111001100
31102001120111102012102
431232312002313030
5220144102010043
610435031054232
71031245501400
oct155666026714
942046442172
1014744563148
116286a15587
122a35b11378
13150c951aa3
149dc331100
155b46a96b8
hex36ed82dcc

14744563148 has 144 divisors (see below), whose sum is σ = 33048116640. Its totient is φ = 5712537600.

The previous prime is 14744563121. The next prime is 14744563193. The reversal of 14744563148 is 84136544741.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31983638 + ... + 31984098.

It is an arithmetic number, because the mean of its divisors is an integer number (229500810).

Almost surely, 214744563148 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 14744563148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524058320).

14744563148 is an abundant number, since it is smaller than the sum of its proper divisors (18303553492).

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

14744563148 is a wasteful number, since it uses less digits than its factorization.

14744563148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 847 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 47.

The spelling of 14744563148 in words is "fourteen billion, seven hundred forty-four million, five hundred sixty-three thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 29 34 49 58 68 98 116 119 196 203 238 331 406 461 476 493 662 812 833 922 986 1324 1421 1666 1844 1972 2317 2842 3227 3332 3451 4634 5627 5684 6454 6902 7837 9268 9599 11254 12908 13369 13804 15674 16219 19198 22508 22589 24157 26738 31348 32438 38396 39389 45178 48314 53476 54859 64876 67193 78778 90356 93583 96628 109718 134386 152591 157556 163183 187166 219436 227273 268772 275723 305182 326366 374332 384013 454546 470351 551446 610364 652732 655081 768026 909092 940702 1068137 1102892 1142281 1310162 1536052 1590911 1881404 2136274 2284562 2594047 2620324 3181822 4272548 4425139 4569124 5188094 6363644 7476959 7995967 8850278 10376188 11136377 14953918 15991934 17700556 18158329 22272754 29907836 30975973 31983868 36316658 44545508 61951946 72633316 75227363 123903892 127108303 150454726 216831811 254216606 300909452 433663622 508433212 526591541 867327244 1053183082 2106366164 3686140787 7372281574 14744563148