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130044424342120 = 235731372291419557
BaseRepresentation
bin11101100100011001010011…
…101101111100101001101000
3122001110010101112020200200021
4131210121103231330221220
5114021121440112421440
61140325330033450224
736251254031323051
oct3544312355745150
9561403345220607
10130044424342120
1138488592320a62
1212703592710974
1357741a1141362
1424182801bd728
151007b496c684a
hex764653b7ca68

130044424342120 has 128 divisors (see below), whose sum is σ = 300078094327200. Its totient is φ = 50708266500096.

The previous prime is 130044424342103. The next prime is 130044424342253. The reversal of 130044424342120 is 21243424440031.

It can be written as a sum of positive squares in 16 ways, for example, as 17524052758276 + 112520371583844 = 4186174^2 + 10607562^2 .

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, 90899382 + ... + 92318938.

Almost surely, 2130044424342120 is an apocalyptic number.

130044424342120 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 130044424342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150039047163600).

130044424342120 is an abundant number, since it is smaller than the sum of its proper divisors (170033669985080).

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

130044424342120 is a wasteful number, since it uses less digits than its factorization.

130044424342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420007 (or 1420003 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 130044424342120 its reverse (21243424440031), we get a palindrome (151287848782151).

The spelling of 130044424342120 in words is "one hundred thirty trillion, forty-four billion, four hundred twenty-four million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 137 146 229 274 292 365 458 548 584 685 730 916 1096 1145 1370 1460 1832 2290 2740 2920 4580 5480 9160 10001 16717 20002 31373 33434 40004 50005 62746 66868 80008 83585 100010 125492 133736 156865 167170 200020 250984 313730 334340 400040 627460 668680 1254920 1419557 2290229 2839114 4580458 5678228 7097785 9160916 11356456 11451145 14195570 18321832 22902290 28391140 45804580 56782280 91609160 103627661 194479309 207255322 325078553 388958618 414510644 518138305 650157106 777917236 829021288 972396545 1036276610 1300314212 1555834472 1625392765 1944793090 2072553220 2600628424 3250785530 3889586180 4145106440 6501571060 7779172360 13003142120 14196989557 23730734369 28393979114 44535761761 47461468738 56787958228 70984947785 89071523522 94922937476 113575916456 118653671845 141969895570 178143047044 189845874952 222678808805 237307343690 283939791140 356286094088 445357617610 474614687380 567879582280 890715235220 949229374760 1781430470440 3251110608553 6502221217106 13004442434212 16255553042765 26008884868424 32511106085530 65022212171060 130044424342120