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131054340288 = 2636113781677
BaseRepresentation
bin111101000001101110…
…0101000100011000000
3110112021101212021121010
41322003130220203000
54121344402342123
6140112221200520
712316435340514
oct1720334504300
9415241767533
10131054340288
1150641838643
1221495a00140
13c487459821
1464b3520144
1536206ca993
hex1e837288c0

131054340288 has 112 divisors (see below), whose sum is σ = 355009179744. Its totient is φ = 42654474240.

The previous prime is 131054340269. The next prime is 131054340317. The reversal of 131054340288 is 882043450131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1563706 + ... + 1645382.

Almost surely, 2131054340288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131054340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177504589872).

131054340288 is an abundant number, since it is smaller than the sum of its proper divisors (223954839456).

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

131054340288 is a wasteful number, since it uses less digits than its factorization.

131054340288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81890 (or 81880 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 131054340288 in words is "one hundred thirty-one billion, fifty-four million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 137 183 192 244 274 366 411 488 548 732 822 976 1096 1464 1644 1952 2192 2928 3288 3904 4384 5856 6576 8357 8768 11712 13152 16714 25071 26304 33428 50142 66856 81677 100284 133712 163354 200568 245031 267424 326708 401136 490062 534848 653416 802272 980124 1306832 1604544 1960248 2613664 3920496 4982297 5227328 7840992 9964594 11189749 14946891 15681984 19929188 22379498 29893782 33569247 39858376 44758996 59787564 67138494 79716752 89517992 119575128 134276988 159433504 179035984 239150256 268553976 318867008 358071968 478300512 537107952 682574689 716143936 956601024 1074215904 1365149378 2047724067 2148431808 2730298756 4095448134 5460597512 8190896268 10921195024 16381792536 21842390048 32763585072 43684780096 65527170144 131054340288