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11040034304 = 291313712107
BaseRepresentation
bin10100100100000100…
…11000111000000000
31001111101202211222102
422102002120320000
5140102222044204
65023254125532
7540403512635
oct122202307000
931441684872
1011040034304
1147558a21a2
1221813508a8
13106c3039a0
1476a33218c
1544934b41e
hex292098e00

11040034304 has 80 divisors (see below), whose sum is σ = 23930687088. Its totient is φ = 5057789952.

The previous prime is 11040034237. The next prime is 11040034307. The reversal of 11040034304 is 40343004011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040034307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905819 + ... + 917925.

Almost surely, 211040034304 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 11040034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11965343544).

11040034304 is an abundant number, since it is smaller than the sum of its proper divisors (12890652784).

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

11040034304 is a wasteful number, since it uses less digits than its factorization.

11040034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12275 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11040034304 its reverse (40343004011), we get a palindrome (51383038315).

The spelling of 11040034304 in words is "eleven billion, forty million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 137 208 256 274 416 512 548 832 1096 1664 1781 2192 3328 3562 4384 6656 7124 8768 12107 14248 17536 24214 28496 35072 48428 56992 70144 96856 113984 157391 193712 227968 314782 387424 455936 629564 774848 911872 1259128 1549696 1658659 2518256 3099392 3317318 5036512 6198784 6634636 10073024 13269272 20146048 21562567 26538544 40292096 43125134 53077088 80584192 86250268 106154176 172500536 212308352 345001072 424616704 690002144 849233408 1380004288 2760008576 5520017152 11040034304