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1040130023312 = 2429139152310589
BaseRepresentation
bin11110010001011001001…
…01001001111110010000
310200102202110010211102202
433020230211021332100
5114020141241221222
62113455032102332
7135101251215362
oct17105445117620
93612673124382
101040130023312
11371131311416
121497015349a8
1377112274373
14384b1dbcd32
151c0c9883892
hexf22c949f90

1040130023312 has 80 divisors (see below), whose sum is σ = 2101318632000. Its totient is φ = 498144901632.

The previous prime is 1040130023299. The next prime is 1040130023321. The reversal of 1040130023312 is 2133200310401.

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, 98222114 + ... + 98232702.

It is an arithmetic number, because the mean of its divisors is an integer number (26266482900).

Almost surely, 21040130023312 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 1040130023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050659316000).

1040130023312 is an abundant number, since it is smaller than the sum of its proper divisors (1061188608688).

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

1040130023312 is a wasteful number, since it uses less digits than its factorization.

1040130023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12288 (or 12282 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1040130023312 its reverse (2133200310401), we get a palindrome (3173330333713).

The spelling of 1040130023312 in words is "one trillion, forty billion, one hundred thirty million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 139 232 278 464 556 1112 1523 2224 3046 4031 6092 8062 10589 12184 16124 21178 24368 32248 42356 44167 64496 84712 88334 169424 176668 211697 307081 353336 423394 614162 706672 846788 1228324 1471871 1693576 2456648 2943742 3387152 4913296 5887484 6139213 11774968 12278426 16127047 23549936 24556852 32254094 42684259 49113704 64508188 85368518 98227408 129016376 170737036 258032752 341474072 467684363 682948144 935368726 1870737452 2241659533 3741474904 4483319066 7482949808 8966638132 17933276264 35866552528 65008126457 130016252914 260032505828 520065011656 1040130023312