Search a number
-
+
143123093748096 = 2737114840472597
BaseRepresentation
bin100000100010101101110001…
…001010010111100110000000
3200202202102201111010010002120
4200202231301022113212000
5122224412043444414341
61224221501440444240
742101205454114260
oct4042556112274600
9622672644103076
10143123093748096
1141670188233850
121407626a619680
1361b25b0374127
14274b2a23777a0
151182e605e7066
hex822b71297980

143123093748096 has 128 divisors (see below), whose sum is σ = 473979076796160. Its totient is φ = 37174829537280.

The previous prime is 143123093748091. The next prime is 143123093748101. The reversal of 143123093748096 is 690847390321341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (143123093748091) and next prime (143123093748101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143123093748091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2420206731 + ... + 2420265866.

It is an arithmetic number, because the mean of its divisors is an integer number (3702961537470).

Almost surely, 2143123093748096 is an apocalyptic number.

143123093748096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

143123093748096 is an abundant number, since it is smaller than the sum of its proper divisors (330855983048064).

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

143123093748096 is a wasteful number, since it uses less digits than its factorization.

143123093748096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840472632 (or 4840472620 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 143123093748096 in words is "one hundred forty-three trillion, one hundred twenty-three billion, ninety-three million, seven hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 4840472597 9680945194 14521417791 19361890388 29042835582 33883308179 38723780776 53245198567 58085671164 67766616358 77447561552 101649924537 106490397134 116171342328 135533232716 154895123104 159735595701 203299849074 212980794268 232342684656 271066465432 309790246208 319471191402 372716389969 406599698148 425961588536 464685369312 542132930864 619580492416 638942382804 745432779938 813199396296 851923177072 929370738624 1084265861728 1118149169907 1277884765608 1490865559876 1626398792592 1703846354144 1858741477248 2168531723456 2236298339814 2555769531216 2981731119752 3252797585184 3407692708288 4337063446912 4472596679628 5111539062432 5963462239504 6505595170368 6815385416576 8945193359256 10223078124864 11926924479008 13011190340736 17890386718512 20446156249728 23853848958016 35780773437024 47707697916032 71561546874048 143123093748096