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230930318304 = 253574242547
BaseRepresentation
bin1101011100010010000…
…1010000001111100000
3211002001221010122200000
43113010201100033200
512240421130141204
6254030554100000
722453445214060
oct3270441201740
9732057118600
10230930318304
1189a34165134
123890a11a600
1318a1336477a
14b269cd93a0
156018ab8039
hex35c48503e0

230930318304 has 144 divisors (see below), whose sum is σ = 778320885888. Its totient is φ = 65980075392.

The previous prime is 230930318293. The next prime is 230930318321. The reversal of 230930318304 is 403813039032.

230930318304 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 30 + 318 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 2066842 + ... + 2175705.

It is an arithmetic number, because the mean of its divisors is an integer number (5405006152).

Almost surely, 2230930318304 is an apocalyptic number.

230930318304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230930318304 is an abundant number, since it is smaller than the sum of its proper divisors (547390567584).

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

230930318304 is an equidigital number, since it uses as much as digits as its factorization.

230930318304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242579 (or 4242559 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 230930318304 in words is "two hundred thirty billion, nine hundred thirty million, three hundred eighteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 4242547 8485094 12727641 16970188 25455282 29697829 33940376 38182923 50910564 59395658 67880752 76365846 89093487 101821128 114548769 118791316 135761504 152731692 178186974 203642256 229097538 237582632 267280461 305463384 343646307 356373948 407284512 458195076 475165264 534560922 610926768 687292614 712747896 801841383 916390152 950330528 1030938921 1069121844 1221853536 1374585228 1425495792 1603682766 1832780304 2061877842 2138243688 2405524149 2749170456 2850991584 3207365532 3665560608 4123755684 4276487376 4811048298 5498340912 6414731064 7216572447 8247511368 8552974752 9622096596 10996681824 12829462128 14433144894 16495022736 19244193192 25658924256 28866289788 32990045472 38488386384 57732579576 76976772768 115465159152 230930318304