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241234255341144 = 23341328636545031
BaseRepresentation
bin110110110110011010111010…
…000110001110011001011000
31011122010202210000201210220000
4312312122322012032121120
5223104340223331404034
62213021253105133000
7101545412505565542
oct6666327206163130
91148122700653800
10241234255341144
116a9569671a32aa
122308099402a160
13a47b3a5cba670
14437db2bc92692
151cd50cae82599
hexdb66ba18e658

241234255341144 has 80 divisors (see below), whose sum is σ = 727654609263120. Its totient is φ = 74225924717760.

The previous prime is 241234255341139. The next prime is 241234255341199. The reversal of 241234255341144 is 441143552432142.

241234255341144 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 3 + 42 + 553 + 4 + 11 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 241234255341144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14318264092 + ... + 14318280939.

It is an arithmetic number, because the mean of its divisors is an integer number (9095682615789).

Almost surely, 2241234255341144 is an apocalyptic number.

241234255341144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241234255341144 is an abundant number, since it is smaller than the sum of its proper divisors (486420353921976).

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

241234255341144 is a wasteful number, since it uses less digits than its factorization.

241234255341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28636545062 (or 28636545049 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 241234255341144 in words is "two hundred forty-one trillion, two hundred thirty-four billion, two hundred fifty-five million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 28636545031 57273090062 85909635093 114546180124 171819270186 229092360248 257728905279 343638540372 372275085403 515457810558 687277080744 744550170806 773186715837 1030915621116 1116825256209 1489100341612 1546373431674 2061831242232 2233650512418 2319560147511 2978200683224 3092746863348 3350475768627 4467301024836 4639120295022 6185493726696 6700951537254 8934602049672 9278240590044 10051427305881 13401903074508 18556481180088 20102854611762 26803806149016 30154281917643 40205709223524 60308563835286 80411418447048 120617127670572 241234255341144