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241343054006040 = 23325795771053177
BaseRepresentation
bin110110111000000000001111…
…000000001100011100011000
31011122112011121101121122022100
4312320000033000030130120
5223113131033311143130
62213143245102123400
7101556313602150360
oct6670001700143430
91148464541548270
10241343054006040
116a999018205588
1223099a98580560
13a48872464649c
1443850cd6b99a0
151cd7d47878c60
hexdb800f00c718

241343054006040 has 96 divisors (see below), whose sum is σ = 896417057746080. Its totient is φ = 55164126629376.

The previous prime is 241343054005973. The next prime is 241343054006107. The reversal of 241343054006040 is 40600450343142.

241343054006040 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 4 + 3 + 0 + 5 + 40 + 0 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (241343054005973) and next prime (241343054006107).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241343054005986 and 241343054006004.

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, 47885524069 + ... + 47885529108.

It is an arithmetic number, because the mean of its divisors is an integer number (9337677684855).

Almost surely, 2241343054006040 is an apocalyptic number.

241343054006040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241343054006040 is an abundant number, since it is smaller than the sum of its proper divisors (655074003740040).

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

241343054006040 is a wasteful number, since it uses less digits than its factorization.

241343054006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95771053201 (or 95771053194 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 241343054006040 in words is "two hundred forty-one trillion, three hundred forty-three billion, fifty-four million, six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 95771053177 191542106354 287313159531 383084212708 478855265885 574626319062 670397372239 766168425416 861939478593 957710531770 1149252638124 1340794744478 1436565797655 1723878957186 1915421063540 2011192116717 2298505276248 2681589488956 2873131595310 3351986861195 3447757914372 3830842127080 4022384233434 4309697392965 5363178977912 5746263190620 6033576350151 6703973722390 6895515828744 8044768466868 8619394785930 10055960583585 11492526381240 12067152700302 13407947444780 16089536933736 17238789571860 20111921167170 24134305400604 26815894889560 30167881750755 34477579143720 40223842334340 48268610801208 60335763501510 80447684668680 120671527003020 241343054006040