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11001434240 = 275161310657
BaseRepresentation
bin10100011111011110…
…01001000010000000
31001101201010202122102
422033233021002000
5140012331343430
65015354525532
7536424435206
oct121757110200
931351122572
1011001434240
114736028415
1221704368a8
13106430a404
14765165076
15445c74345
hex28fbc9080

11001434240 has 64 divisors (see below), whose sum is σ = 26319078360. Its totient is φ = 4397432832.

The previous prime is 11001434239. The next prime is 11001434261. The reversal of 11001434240 is 4243410011.

It can be written as a sum of positive squares in 4 ways, for example, as 6688622656 + 4312811584 = 81784^2 + 65672^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1026992 + ... + 1037648.

Almost surely, 211001434240 is an apocalyptic number.

11001434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001434240 is an abundant number, since it is smaller than the sum of its proper divisors (15317644120).

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

11001434240 is a wasteful number, since it uses less digits than its factorization.

11001434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11001434240 its reverse (4243410011), we get a palindrome (15244844251).

The spelling of 11001434240 in words is "eleven billion, one million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1613 3226 6452 8065 10657 12904 16130 21314 25808 32260 42628 51616 53285 64520 85256 103232 106570 129040 170512 206464 213140 258080 341024 426280 516160 682048 852560 1032320 1364096 1705120 3410240 6820480 17189741 34379482 68758964 85948705 137517928 171897410 275035856 343794820 550071712 687589640 1100143424 1375179280 2200286848 2750358560 5500717120 11001434240