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131065240040 = 23573115092957
BaseRepresentation
bin111101000010000011…
…0001101100111101000
3110112022011101001020122
41322010012031213220
54121410200140130
6140113250542412
712316630105310
oct1720406154750
9415264331218
10131065240040
1150647a027a9
1221499597a08
13c4897a4a97
1464b4b5a440
1536216302e5
hex1e8418d9e8

131065240040 has 128 divisors (see below), whose sum is σ = 338887411200. Its totient is φ = 44689044480.

The previous prime is 131065240003. The next prime is 131065240043. The reversal of 131065240040 is 40042560131.

It is a junction number, because it is equal to n+sod(n) for n = 131065239991 and 131065240009.

It is not an unprimeable number, because it can be changed into a prime (131065240043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44322242 + ... + 44325198.

It is an arithmetic number, because the mean of its divisors is an integer number (2647557900).

Almost surely, 2131065240040 is an apocalyptic number.

131065240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131065240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169443705600).

131065240040 is an abundant number, since it is smaller than the sum of its proper divisors (207822171160).

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

131065240040 is a wasteful number, since it uses less digits than its factorization.

131065240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 131065240040 in words is "one hundred thirty-one billion, sixty-five million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 311 509 622 1018 1244 1555 2036 2177 2488 2545 2957 3110 3563 4072 4354 5090 5914 6220 7126 8708 10180 10885 11828 12440 14252 14785 17416 17815 20360 20699 21770 23656 28504 29570 35630 41398 43540 59140 71260 82796 87080 103495 118280 142520 158299 165592 206990 316598 413980 633196 791495 827960 919627 1108093 1266392 1505113 1582990 1839254 2216186 3010226 3165980 3678508 4432372 4598135 5540465 6020452 6331960 6437389 7357016 7525565 8864744 9196270 10535791 11080930 12040904 12874778 15051130 18392540 21071582 22161860 25749556 30102260 32186945 36785080 42143164 44323720 51499112 52678955 60204520 64373890 84286328 105357910 128747780 210715820 257495560 421431640 468090143 936180286 1872360572 2340450715 3276631001 3744721144 4680901430 6553262002 9361802860 13106524004 16383155005 18723605720 26213048008 32766310010 65532620020 131065240040