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144192504192 = 27311191796657
BaseRepresentation
bin1000011001001010001…
…0110000000110000000
3111210012000122011022020
42012102202300012000
54330301240113232
6150124025441440
713263140030412
oct2062242600600
9453160564266
10144192504192
1156173a00640
1223b41940280
131079c344bc9
146d9c3729b2
153b3dd1ee2c
hex21928b0180

144192504192 has 128 divisors (see below), whose sum is σ = 439821878400. Its totient is φ = 41394954240.

The previous prime is 144192504133. The next prime is 144192504241. The reversal of 144192504192 is 291405291441.

It is a tau number, because it is divible by the number of its divisors (128).

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, 818073 + ... + 978584.

It is an arithmetic number, because the mean of its divisors is an integer number (3436108425).

Almost surely, 2144192504192 is an apocalyptic number.

144192504192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144192504192 is an abundant number, since it is smaller than the sum of its proper divisors (295629374208).

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

144192504192 is a wasteful number, since it uses less digits than its factorization.

144192504192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796704 (or 1796692 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 144192504192 in words is "one hundred forty-four billion, one hundred ninety-two million, five hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 3344 3648 4224 5016 6688 7296 10032 13376 20064 26752 40128 80256 1796657 3593314 5389971 7186628 10779942 14373256 19763227 21559884 28746512 34136483 39526454 43119768 57493024 59289681 68272966 79052908 86239536 102409449 114986048 118579362 136545932 158105816 172479072 204818898 229972096 237158724 273091864 316211632 344958144 375501313 409637796 474317448 546183728 632423264 689916288 751002626 819275592 948634896 1092367456 1126503939 1264846528 1502005252 1638551184 1897269792 2184734912 2253007878 2529693056 3004010504 3277102368 3794539584 4369469824 4506015756 6008021008 6554204736 7589079168 9012031512 12016042016 13108409472 18024063024 24032084032 36048126048 48064168064 72096252096 144192504192