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130440241041440 = 25511627011182019
BaseRepresentation
bin11101101010001001111100…
…001110110101000000100000
3122002211222001200012100221212
4131222021330032311000200
5114044113103201311230
61141231230335205252
736321665525624141
oct3552117416650040
9562758050170855
10130440241041440
1138620439552670
1212768238976828
1357a2600b9c945
14242d4ac955ac8
1510130b3bdd895
hex76a27c3b5020

130440241041440 has 96 divisors (see below), whose sum is σ = 336185721829440. Its totient is φ = 47432018304000.

The previous prime is 130440241041427. The next prime is 130440241041449. The reversal of 130440241041440 is 44140142044031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 130440241041397 and 130440241041406.

It is not an unprimeable number, because it can be changed into a prime (130440241041449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109762751 + ... + 110944769.

It is an arithmetic number, because the mean of its divisors is an integer number (3501934602390).

Almost surely, 2130440241041440 is an apocalyptic number.

130440241041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440241041440 is an abundant number, since it is smaller than the sum of its proper divisors (205745480788000).

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

130440241041440 is a wasteful number, since it uses less digits than its factorization.

130440241041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244746 (or 1244738 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 130440241041440 its reverse (44140142044031), we get a palindrome (174580383085471).

The spelling of 130440241041440 in words is "one hundred thirty trillion, four hundred forty billion, two hundred forty-one million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 62701 125402 250804 313505 501608 627010 689711 1003216 1182019 1254020 1379422 2006432 2364038 2508040 2758844 3448555 4728076 5016080 5517688 5910095 6897110 9456152 10032160 11035376 11820190 13002209 13794220 18912304 22070752 23640380 26004418 27588440 37824608 47280760 52008836 55176880 65011045 94561520 104017672 110353760 130022090 189123040 208035344 260044180 416070688 520088360 1040176720 2080353440 74113773319 148227546638 296455093276 370568866595 592910186552 741137733190 815251506509 1185820373104 1482275466380 1630503013018 2371640746208 2964550932760 3261006026036 4076257532545 5929101865520 6522012052072 8152515065090 11858203731040 13044024104144 16305030130180 26088048208288 32610060260360 65220120520720 130440241041440