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230244440002731 = 34711103935530217
BaseRepresentation
bin110100010110011111110110…
…000011101101000010101011
31010012020011010220022112210000
4310112133312003231002223
5220134311103120041411
62133404500250154043
766332416601526150
oct6426376603550253
91105204126275700
10230244440002731
11673aa133a15390
12219a6ab9122923
139b61c5a8ca6ab
1440bdc671cc227
151b942bd9b0956
hexd167f60ed0ab

230244440002731 has 80 divisors (see below), whose sum is σ = 429227772779520. Its totient is φ = 119492380033920.

The previous prime is 230244440002693. The next prime is 230244440002739. The reversal of 230244440002731 is 137200044442032.

230244440002731 is a `hidden beast` number, since 2 + 3 + 0 + 244 + 4 + 400 + 0 + 2 + 7 + 3 + 1 = 666.

It is not a de Polignac number, because 230244440002731 - 214 = 230244439986347 is a prime.

It is a super-2 number, since 2×2302444400027312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230244440002739) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11284866 + ... + 24245351.

It is an arithmetic number, because the mean of its divisors is an integer number (5365347159744).

Almost surely, 2230244440002731 is an apocalyptic number.

230244440002731 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230244440002731 is a deficient number, since it is larger than the sum of its proper divisors (198983332776789).

230244440002731 is a wasteful number, since it uses less digits than its factorization.

230244440002731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35531286 (or 35531277 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 230244440002731 its reverse (137200044442032), we get a palindrome (367444484444763).

The spelling of 230244440002731 in words is "two hundred thirty trillion, two hundred forty-four billion, four hundred forty million, two thousand, seven hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 693 891 1039 2079 3117 6237 7273 9351 11429 21819 28053 34287 65457 80003 84159 102861 196371 240009 308583 589113 720027 925749 2160081 6480243 35530217 106590651 248711519 319771953 390832387 746134557 959315859 1172497161 2238403671 2735826709 2877947577 3517491483 6715211013 8207480127 10552474449 20145633039 24622440381 31657423347 36915895463 73867321143 110747686389 221601963429 258411268241 332243059167 406074850093 775233804723 996729177501 1218224550279 2325701414169 2842523950651 2990187532503 3654673650837 6977104242507 8527571851953 10964020952511 20931312727521 25582715555859 32892062857533 76748146667577 230244440002731