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1013044130432 = 27194310988873
BaseRepresentation
bin11101011110111100010…
…00101011001010000000
310120211211210020220111222
432233132020223022000
5113044203244133212
62053215215254212
7133122115013555
oct16573610531200
93524753226458
101013044130432
113606a2002184
1214440251a368
13746b684c109
14370629bca2c
151b5419d3c72
hexebde22b280

1013044130432 has 128 divisors (see below), whose sum is σ = 2193765816000. Its totient is φ = 464398147584.

The previous prime is 1013044130363. The next prime is 1013044130477. The reversal of 1013044130432 is 2340314403101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11354348 + ... + 11443220.

Almost surely, 21013044130432 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 1013044130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096882908000).

1013044130432 is an abundant number, since it is smaller than the sum of its proper divisors (1180721685568).

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

1013044130432 is a wasteful number, since it uses less digits than its factorization.

1013044130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89058 (or 89046 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1013044130432 its reverse (2340314403101), we get a palindrome (3353358533533).

The spelling of 1013044130432 in words is "one trillion, thirteen billion, forty-four million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 109 128 152 172 218 304 344 436 608 688 817 872 1216 1376 1634 1744 2071 2432 2752 3268 3488 4142 4687 5504 6536 6976 8284 9374 13072 13952 16568 18748 26144 33136 37496 52288 66272 74992 88873 89053 104576 132544 149984 177746 178106 265088 299968 355492 356212 599936 710984 712424 1421968 1424848 1688587 2843936 2849696 3377174 3821539 5687872 5699392 6754348 7643078 9687157 11375744 11398784 13508696 15286156 19374314 27017392 30572312 38748628 54034784 61144624 72609241 77497256 108069568 122289248 145218482 154994512 184055983 216139136 244578496 290436964 309989024 368111966 416547751 489156992 580873928 619978048 736223932 833095502 1161747856 1239956096 1472447864 1666191004 2323495712 2944895728 3332382008 4646991424 5889791456 6664764016 7914407269 9293982848 11779582912 13329528032 15828814538 23559165824 26659056064 31657629076 53318112128 63315258152 126630516304 253261032608 506522065216 1013044130432