Search a number
-
+
420141430120200 = 233526111479274047
BaseRepresentation
bin101111110000111011100110…
…0101100101001111100001000
32001002121010110122110010122120
41133201313030230221330020
5420032044122102321300
64045322150343251240
7154332134206105215
oct13741671454517410
92032533418403576
10420141430120200
11111962a86269298
123b156282a49b20
1315058222789b39
1475a6d4d006b0c
153388c9952a3a0
hex17e1dccb29f08

420141430120200 has 96 divisors (see below), whose sum is σ = 1323789883215360. Its totient is φ = 110201030841600.

The previous prime is 420141430120183. The next prime is 420141430120253. The reversal of 420141430120200 is 2021034141024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5739600424 + ... + 5739673623.

It is an arithmetic number, because the mean of its divisors is an integer number (13789477950160).

Almost surely, 2420141430120200 is an apocalyptic number.

420141430120200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420141430120200 is an abundant number, since it is smaller than the sum of its proper divisors (903648453095160).

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

420141430120200 is a wasteful number, since it uses less digits than its factorization.

420141430120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11479274127 (or 11479274118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 420141430120200 its reverse (2021034141024), we get a palindrome (422162464261224).

The spelling of 420141430120200 in words is "four hundred twenty trillion, one hundred forty-one billion, four hundred thirty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 915 1220 1464 1525 1830 2440 3050 3660 4575 6100 7320 9150 12200 18300 36600 11479274047 22958548094 34437822141 45917096188 57396370235 68875644282 91834192376 114792740470 137751288564 172189110705 229585480940 275502577128 286981851175 344378221410 459170961880 573963702350 688756442820 700235716867 860945553525 1147927404700 1377512885640 1400471433734 1721891107050 2100707150601 2295854809400 2800942867468 3443782214100 3501178584335 4201414301202 5601885734936 6887564428200 7002357168670 8402828602404 10503535753005 14004714337340 16805657204808 17505892921675 21007071506010 28009428674680 35011785843350 42014143012020 52517678765025 70023571686700 84028286024040 105035357530050 140047143373400 210070715060100 420141430120200