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131482431468 = 223319223287333
BaseRepresentation
bin111101001110011110…
…1101010111111101100
3110120101020101120022000
41322130331222333230
54123234000301333
6140222512452300
712333154140663
oct1723475527754
9416336346260
10131482431468
115084144a903
122159524a090
13c52505530b
146514317dda
15364808c713
hex1e9cf6afec

131482431468 has 96 divisors (see below), whose sum is σ = 360431769600. Its totient is φ = 41334432192.

The previous prime is 131482431439. The next prime is 131482431503. The reversal of 131482431468 is 864134284131.

131482431468 is a `hidden beast` number, since 1 + 3 + 148 + 2 + 43 + 1 + 468 = 666.

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, 313930 + ... + 601262.

It is an arithmetic number, because the mean of its divisors is an integer number (3754497600).

Almost surely, 2131482431468 is an apocalyptic number.

131482431468 is a gapful number since it is divisible by the number (18) 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 131482431468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180215884800).

131482431468 is an abundant number, since it is smaller than the sum of its proper divisors (228949338132).

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

131482431468 is a wasteful number, since it uses less digits than its factorization.

131482431468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287588 (or 287580 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 131482431468 in words is "one hundred thirty-one billion, four hundred eighty-two million, four hundred thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 223 228 342 446 513 669 684 892 1026 1338 2007 2052 2676 4014 4237 6021 8028 8474 12042 12711 16948 24084 25422 38133 50844 76266 114399 152532 228798 287333 457596 574666 861999 1149332 1723998 2585997 3447996 5171994 5459327 7757991 10343988 10918654 15515982 16377981 21837308 31031964 32755962 49133943 64075259 65511924 98267886 128150518 147401829 192225777 196535772 256301036 294803658 384451554 576677331 589607316 768903108 1153354662 1217429921 1730031993 2306709324 2434859842 3460063986 3652289763 4869719684 6920127972 7304579526 10956869289 14609159052 21913738578 32870607867 43827477156 65741215734 131482431468