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231444231312420 = 223257365587502441
BaseRepresentation
bin110100100111111101001111…
…001100010101010000100100
31010100110212000102100002110200
4310213331033030111100210
5220313440241203444140
62140124002333550500
766515202544431510
oct6447751714252044
91110425012302420
10231444231312420
1167821a46923345
1221b5b538945430
139c1b135ba76b9
144121d63b11140
151bb55e01c7030
hexd27f4f315424

231444231312420 has 144 divisors (see below), whose sum is σ = 802343793433728. Its totient is φ = 52901288593920.

The previous prime is 231444231312409. The next prime is 231444231312433. The reversal of 231444231312420 is 24213132444132.

231444231312420 is a `hidden beast` number, since 2 + 31 + 4 + 44 + 231 + 312 + 42 + 0 = 666.

231444231312420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 460388400 + ... + 460890840.

Almost surely, 2231444231312420 is an apocalyptic number.

231444231312420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231444231312420 is an abundant number, since it is smaller than the sum of its proper divisors (570899562121308).

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

231444231312420 is a wasteful number, since it uses less digits than its factorization.

231444231312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868050 (or 868045 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 231444231312420 its reverse (24213132444132), we get a palindrome (255657363756552).

The spelling of 231444231312420 in words is "two hundred thirty-one trillion, four hundred forty-four billion, two hundred thirty-one million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 365587 502441 731174 1004882 1096761 1462348 1507323 1827935 2009764 2193522 2512205 2559109 3014646 3290283 3517087 3655870 4387044 4521969 5024410 5118218 5483805 6029292 6580566 7034174 7311740 7536615 7677327 9043938 10048820 10236436 10551261 10967610 12795545 13161132 14068348 15073230 15354654 16451415 17585435 18087876 21102522 21935220 22609845 23031981 25591090 30146460 30709308 31653783 32902830 35170870 38386635 42205044 45219690 46063962 51182180 52756305 63307566 65805660 70341740 76773270 90439380 92127924 105512610 115159905 126615132 153546540 158268915 211025220 230319810 316537830 460639620 633075660 183685897867 367371795734 551057693601 734743591468 918429489335 1102115387202 1285801285069 1653173080803 1836858978670 2204230774404 2571602570138 2755288468005 3306346161606 3673717957340 3857403855207 5143205140276 5510576936010 6429006425345 6612692323212 7714807710414 8265865404015 11021153872020 11572211565621 12858012850690 15429615420828 16531730808030 19287019276035 23144423131242 25716025701380 33063461616060 38574038552070 46288846262484 57861057828105 77148077104140 115722115656210 231444231312420