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241331414044 = 2271733156591
BaseRepresentation
bin1110000011000001111…
…0010010010000011100
3212001220210122001201011
43200300132102100130
512423221320222134
6302511025425004
723302263113260
oct3406036222034
9761823561634
10241331414044
1193391323326
123a93149b164
13199b01881a6
14b97542a0a0
156426ca4264
hex383079241c

241331414044 has 96 divisors (see below), whose sum is σ = 529375150080. Its totient is φ = 94201977600.

The previous prime is 241331414003. The next prime is 241331414053. The reversal of 241331414044 is 440414133142.

241331414044 is digitally balanced in base 3, 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 (31).

It is a junction number, because it is equal to n+sod(n) for n = 241331413997 and 241331414015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4236189 + ... + 4292779.

It is an arithmetic number, because the mean of its divisors is an integer number (5514324480).

Almost surely, 2241331414044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241331414044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264687575040).

241331414044 is an abundant number, since it is smaller than the sum of its proper divisors (288043736036).

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

241331414044 is a wasteful number, since it uses less digits than its factorization.

241331414044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56684 (or 56648 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 241331414044 its reverse (440414133142), we get a palindrome (681745547186).

The spelling of 241331414044 in words is "two hundred forty-one billion, three hundred thirty-one million, four hundred fourteen thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 289 434 476 527 578 868 1054 1156 2023 2108 3689 4046 4913 7378 8092 8959 9826 14756 17918 19652 34391 35836 56591 62713 68782 113182 125426 137564 152303 226364 250852 304606 396137 609212 792274 962047 1066121 1584548 1754321 1924094 2132242 3508642 3848188 4264484 6734329 7017284 12280247 13468658 16354799 24560494 26937316 29823457 32709598 49120988 59646914 65419196 114483593 119293828 208764199 228967186 278031583 417528398 457934372 506998769 556063166 835056796 1013997538 1112126332 1946221081 2027995076 3548991383 3892442162 7097982766 7784884324 8618979073 14195965532 17237958146 34475916292 60332853511 120665707022 241331414044