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130440001030432 = 25197317021172663
BaseRepresentation
bin11101101010001001101101…
…111011010000100100100000
3122002211221102221120112202021
4131222021231323100210200
5114044112110230433212
61141231150443031224
736321656552564452
oct3552115573204440
9562757387515667
10130440001030432
1138620326021865
121276819050b514
1357a2593246ab2
14242d488b1a2d2
15101309cace307
hex76a26ded0920

130440001030432 has 96 divisors (see below), whose sum is σ = 274040435329920. Its totient is φ = 60937033328640.

The previous prime is 130440001030403. The next prime is 130440001030441. The reversal of 130440001030432 is 234030100044031.

It is a junction number, because it is equal to n+sod(n) for n = 130440001030397 and 130440001030406.

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, 755373733 + ... + 755546395.

It is an arithmetic number, because the mean of its divisors is an integer number (2854587868020).

Almost surely, 2130440001030432 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 130440001030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137020217664960).

130440001030432 is an abundant number, since it is smaller than the sum of its proper divisors (143600434299488).

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

130440001030432 is a wasteful number, since it uses less digits than its factorization.

130440001030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189786 (or 189778 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 130440001030432 its reverse (234030100044031), we get a palindrome (364470101074463).

The spelling of 130440001030432 in words is "one hundred thirty trillion, four hundred forty billion, one million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 73 76 146 152 292 304 584 608 1168 1387 2336 2774 5548 11096 17021 22192 34042 44384 68084 136168 172663 272336 323399 345326 544672 646798 690652 1242533 1293596 1381304 2485066 2587192 2762608 3280597 4970132 5174384 5525216 6561194 9940264 10348768 12604399 13122388 19880528 23608127 25208798 26244776 39761056 47216254 50417596 52489552 94432508 100835192 104979104 188865016 201670384 239483581 377730032 403340768 478967162 755460064 957934324 1915868648 2938896923 3831737296 5877793846 7663474592 11755587692 23511175384 47022350768 55839041537 94044701536 111678083074 214539475379 223356166148 429078950758 446712332296 858157901516 893424664592 1716315803032 1786849329184 3432631606064 4076250032201 6865263212128 8152500064402 16305000128804 32610000257608 65220000515216 130440001030432