Search a number
-
+
114428650284300 = 223521137937171583
BaseRepresentation
bin11010000001001001111111…
…000011010110010100001100
3120000011021100101101002112210
4122001021333003112110030
5104444244333433044200
61043211443553030420
733050124425030442
oct3201117703262414
9500137311332483
10114428650284300
1133507a10a33870
1210a01057555410
134bb0763279471
14203853a508b92
15d3684247e650
hex68127f0d650c

114428650284300 has 144 divisors (see below), whose sum is σ = 370940010319872. Its totient is φ = 26990541561600.

The previous prime is 114428650284283. The next prime is 114428650284329. The reversal of 114428650284300 is 3482056824411.

It is a super-3 number, since 3×1144286502843003 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114428650284300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468463692 + ... + 468707891.

It is an arithmetic number, because the mean of its divisors is an integer number (2575972293888).

Almost surely, 2114428650284300 is an apocalyptic number.

114428650284300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114428650284300 is an abundant number, since it is smaller than the sum of its proper divisors (256511360035572).

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

114428650284300 is a wasteful number, since it uses less digits than its factorization.

114428650284300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937171648 (or 937171641 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 114428650284300 in words is "one hundred fourteen trillion, four hundred twenty-eight billion, six hundred fifty million, two hundred eighty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 937171583 1874343166 2811514749 3748686332 4685857915 5623029498 9371715830 10308887413 11246058996 14057573745 18743431660 20617774826 23429289575 28115147490 30926662239 34675348571 41235549652 46858579150 51544437065 56230294980 61853324478 69350697142 70287868725 93717158300 103088874130 104026045713 123706648956 138701394284 140575737450 154633311195 173376742855 206177748260 208052091426 257722185325 281151474900 309266622390 346753485710 381428834281 416104182852 515444370650 520130228565 618533244780 693506971420 762857668562 773166555975 866883714275 1030888741300 1040260457130 1144286502843 1525715337124 1546333111950 1733767428550 1907144171405 2080520914260 2288573005686 2600651142825 3092666223900 3467534857100 3814288342810 4577146011372 5201302285650 5721432514215 7628576685620 9535720857025 10402604571300 11442865028430 19071441714050 22885730056860 28607162571075 38142883428100 57214325142150 114428650284300