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31242111411024 = 24321753240798121
BaseRepresentation
bin1110001101010000111101…
…11100111110001101010000
311002121201100110110012101100
413012220132330332031100
513043332321010123044
6150240232225304400
76403111434234303
oct706503674761520
9132551313405340
1031242111411024
119a55783458578
123606b1ba95100
131458170361237
147a01aa65cb3a
15392a2ba19869
hex1c6a1ef3e350

31242111411024 has 120 divisors (see below), whose sum is σ = 94324477157352. Its totient is φ = 9616513720320.

The previous prime is 31242111411001. The next prime is 31242111411037. The reversal of 31242111411024 is 42011411124213.

31242111411024 is a `hidden beast` number, since 3 + 1 + 242 + 1 + 1 + 1 + 411 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9030986625600 + 22211124785424 = 3005160^2 + 4712868^2 .

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, 120269317 + ... + 120528804.

Almost surely, 231242111411024 is an apocalyptic number.

31242111411024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31242111411024 is an abundant number, since it is smaller than the sum of its proper divisors (63082365746328).

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

31242111411024 is a wasteful number, since it uses less digits than its factorization.

31242111411024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240798205 (or 240798196 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 31242111411024 its reverse (42011411124213), we get a palindrome (73253522535237).

The spelling of 31242111411024 in words is "thirty-one trillion, two hundred forty-two billion, one hundred eleven million, four hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 53 68 72 102 106 136 144 153 159 204 212 272 306 318 408 424 477 612 636 816 848 901 954 1224 1272 1802 1908 2448 2544 2703 3604 3816 5406 7208 7632 8109 10812 14416 16218 21624 32436 43248 64872 129744 240798121 481596242 722394363 963192484 1444788726 1926384968 2167183089 2889577452 3852769936 4093568057 4334366178 5779154904 8187136114 8668732356 11558309808 12280704171 12762300413 16374272228 17337464712 24561408342 25524600826 32748544456 34674929424 36842112513 38286901239 49122816684 51049201652 65497088912 73684225026 76573802478 98245633368 102098403304 114860703717 147368450052 153147604956 196491266736 204196806608 216959107021 229721407434 294736900104 306295209912 433918214042 459442814868 589473800208 612590419824 650877321063 867836428084 918885629736 1301754642126 1735672856168 1837771259472 1952631963189 2603509284252 3471345712336 3905263926378 5207018568504 7810527852756 10414037137008 15621055705512 31242111411024