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240442011222024 = 233191724333057913
BaseRepresentation
bin110110101010111001000100…
…101010110000000000001000
31011112100000212011122122022210
4312222321010222300000020
5223003400214333101044
62211213311324145120
7101434235116644243
oct6652710452600010
91145300764578283
10240442011222024
116a68098002a717
1222b733330981a0
13a421779b20421
144353653a0a25a
151cbe6ada191b9
hexdaae44ab0008

240442011222024 has 64 divisors (see below), whose sum is σ = 632746011211200. Its totient is φ = 75928591005696.

The previous prime is 240442011221921. The next prime is 240442011222079. The reversal of 240442011222024 is 420222110244042.

It is a junction number, because it is equal to n+sod(n) for n = 240442011221982 and 240442011222000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77100492 + ... + 80158404.

It is an arithmetic number, because the mean of its divisors is an integer number (9886656425175).

Almost surely, 2240442011222024 is an apocalyptic number.

240442011222024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240442011222024 is an abundant number, since it is smaller than the sum of its proper divisors (392303999989176).

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

240442011222024 is a wasteful number, since it uses less digits than its factorization.

240442011222024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230374 (or 3230370 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 240442011222024 its reverse (420222110244042), we get a palindrome (660664121466066).

The spelling of 240442011222024 in words is "two hundred forty trillion, four hundred forty-two billion, eleven million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 172433 344866 517299 689732 1034598 1379464 2069196 3057913 3276227 4138392 6115826 6552454 9173739 9828681 12231652 13104908 18347478 19657362 24463304 26209816 36694956 39314724 58100347 73389912 78629448 116200694 174301041 232401388 348602082 464802776 697204164 1394408328 527285112329 1054570224658 1581855336987 2109140449316 3163710673974 4218280898632 6327421347948 10018417134251 12654842695896 20036834268502 30055251402753 40073668537004 60110502805506 80147337074008 120221005611012 240442011222024