Search a number
-
+
14543768301150 = 23521137238227163
BaseRepresentation
bin1101001110100011110000…
…1001001010111001011110
31220111101000012220201212210
43103220330021022321132
53401241114141114100
650533152004541250
73030516064554444
oct323507411127136
956441005821783
1014543768301150
1146a7a830615a0
12176a81a6b1826
13816618a7036a
14383cca4dcb94
151a34b4271c50
hexd3a3c24ae5e

14543768301150 has 96 divisors (see below), whose sum is σ = 40410950283648. Its totient is φ = 3430471132800.

The previous prime is 14543768301119. The next prime is 14543768301151. The reversal of 14543768301150 is 5110386734541.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14543768301150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14543768301151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119052532 + ... + 119174631.

It is an arithmetic number, because the mean of its divisors is an integer number (420947398788).

Almost surely, 214543768301150 is an apocalyptic number.

14543768301150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14543768301150 is an abundant number, since it is smaller than the sum of its proper divisors (25867181982498).

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

14543768301150 is a wasteful number, since it uses less digits than its factorization.

14543768301150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238227226 (or 238227221 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 14543768301150 in words is "fourteen trillion, five hundred forty-three billion, seven hundred sixty-eight million, three hundred one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 37 50 55 66 74 75 110 111 150 165 185 222 275 330 370 407 550 555 814 825 925 1110 1221 1650 1850 2035 2442 2775 4070 5550 6105 10175 12210 20350 30525 61050 238227163 476454326 714681489 1191135815 1429362978 2382271630 2620498793 3573407445 5240997586 5955679075 7146814890 7861496379 8814405031 11911358150 13102493965 15722992758 17628810062 17867037225 26204987930 26443215093 35734074450 39307481895 44072025155 52886430186 65512469825 78614963790 88144050310 96958455341 131024939650 132216075465 193916910682 196537409475 220360125775 264432150930 290875366023 393074818950 440720251550 484792276705 581750732046 661080377325 969584553410 1322160754650 1454376830115 2423961383525 2908753660230 4847922767050 7271884150575 14543768301150