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130540449280 = 295401127163
BaseRepresentation
bin111100110010011010…
…0010010111000000000
3110110221120212220122211
41321210310102320000
54114321323334110
6135545222511504
712300625340143
oct1714464227000
9413846786584
10130540449280
11503a875372a
1221371895594
13c404b4cac7
14646519005a
1535e051b98a
hex1e64d12e00

130540449280 has 80 divisors (see below), whose sum is σ = 313774118064. Its totient is φ = 52085555200.

The previous prime is 130540449241. The next prime is 130540449289. The reversal of 130540449280 is 82944045031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130540449289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962979 + ... + 1090141.

Almost surely, 2130540449280 is an apocalyptic number.

130540449280 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 130540449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156887059032).

130540449280 is an abundant number, since it is smaller than the sum of its proper divisors (183233668784).

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

130540449280 is an equidigital number, since it uses as much as digits as its factorization.

130540449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127587 (or 127571 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 130540449280 in words is "one hundred thirty billion, five hundred forty million, four hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 401 512 640 802 1280 1604 2005 2560 3208 4010 6416 8020 12832 16040 25664 32080 51328 64160 102656 127163 128320 205312 254326 256640 508652 513280 635815 1017304 1026560 1271630 2034608 2543260 4069216 5086520 8138432 10173040 16276864 20346080 32553728 40692160 50992363 65107456 81384320 101984726 162768640 203969452 254961815 325537280 407938904 509923630 815877808 1019847260 1631755616 2039694520 3263511232 4079389040 6527022464 8158778080 13054044928 16317556160 26108089856 32635112320 65270224640 130540449280