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1300001440524 = 2231771467319207
BaseRepresentation
bin10010111010101110000…
…111111100001100001100
311121021112100001122020220
4102322232013330030030
5132244400332044044
62433113514311340
7162631150631223
oct22725607741414
94537470048226
101300001440524
11461366a16506
1218bb47a28550
13957884b0017
1446cc5841cba
1523c3910c019
hex12eae1fc30c

1300001440524 has 96 divisors (see below), whose sum is σ = 3257871031296. Its totient is φ = 401992335360.

The previous prime is 1300001440501. The next prime is 1300001440537. The reversal of 1300001440524 is 4250441000031.

It is a junction number, because it is equal to n+sod(n) for n = 1300001440494 and 1300001440503.

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, 67674129 + ... + 67693335.

It is an arithmetic number, because the mean of its divisors is an integer number (33936156576).

Almost surely, 21300001440524 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 1300001440524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628935515648).

1300001440524 is an abundant number, since it is smaller than the sum of its proper divisors (1957869590772).

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

1300001440524 is a wasteful number, since it uses less digits than its factorization.

1300001440524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23975 (or 23973 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1300001440524 its reverse (4250441000031), we get a palindrome (5550442440555).

The spelling of 1300001440524 in words is "one trillion, three hundred billion, one million, four hundred forty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4673 4828 7242 9346 14019 14484 18692 19207 28038 38414 56076 57621 76828 79441 115242 158882 230484 238323 317764 326519 331783 476646 653038 663566 953292 979557 995349 1306076 1327132 1363697 1959114 1990698 2727394 3918228 3981396 4091091 5454788 5640311 8182182 11280622 16364364 16920933 22561244 23182849 33841866 46365698 67683732 69548547 89754311 92731396 139097094 179508622 269262933 278194188 359017244 538525866 1077051732 1525823287 3051646574 4577469861 6103293148 6372556081 9154939722 12745112162 18309879444 19117668243 25490224324 38235336486 76470672972 108333453377 216666906754 325000360131 433333813508 650000720262 1300001440524