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131115241045040 = 2457234134359009
BaseRepresentation
bin11101110011111110100101…
…010111011111110000110000
3122012020111100120210100211012
4131303332211113133300300
5114141143003201420130
61142505302112010052
736421522621162610
oct3563764527376060
9565214316710735
10131115241045040
1138860730447a0a
1212857018b30928
135821163b04bb5
1424540238b4a40
15102591d0c4995
hex773fa55dfc30

131115241045040 has 40 divisors (see below), whose sum is σ = 348391926206880. Its totient is φ = 44953796929536.

The previous prime is 131115241045003. The next prime is 131115241045051. The reversal of 131115241045040 is 40540142511131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1311152410450402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131115241044988 and 131115241045006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117067178945 + ... + 117067180064.

It is an arithmetic number, because the mean of its divisors is an integer number (8709798155172).

Almost surely, 2131115241045040 is an apocalyptic number.

131115241045040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131115241045040 is an abundant number, since it is smaller than the sum of its proper divisors (217276685161840).

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

131115241045040 is a wasteful number, since it uses less digits than its factorization.

131115241045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234134359029 (or 234134359023 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 131115241045040 its reverse (40540142511131), we get a palindrome (171655383556171).

The spelling of 131115241045040 in words is "one hundred thirty-one trillion, one hundred fifteen billion, two hundred forty-one million, forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 234134359009 468268718018 936537436036 1170671795045 1638940513063 1873074872072 2341343590090 3277881026126 3746149744144 4682687180180 6555762052252 8194702565315 9365374360360 13111524104504 16389405130630 18730748720720 26223048209008 32778810261260 65557620522520 131115241045040