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11034434040 = 2335713136231
BaseRepresentation
bin10100100011011010…
…00001100111111000
31001111000020022212020
422101231001213320
5140044303342130
65022534114440
7540305066430
oct122155014770
931430208766
1011034434040
114752717683
12217b4aba20
13106b0c2916
147696b52c0
15448ae1e10
hex291b419f8

11034434040 has 64 divisors (see below), whose sum is σ = 37832348160. Its totient is φ = 2522156160.

The previous prime is 11034434011. The next prime is 11034434077. The reversal of 11034434040 is 4043443011.

It is a super-2 number, since 2×110344340402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11034434040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6567276 + ... + 6568955.

It is an arithmetic number, because the mean of its divisors is an integer number (591130440).

Almost surely, 211034434040 is an apocalyptic number.

11034434040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034434040 is an abundant number, since it is smaller than the sum of its proper divisors (26797914120).

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

11034434040 is a wasteful number, since it uses less digits than its factorization.

11034434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13136252 (or 13136248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11034434040 its reverse (4043443011), we get a palindrome (15077877051).

The spelling of 11034434040 in words is "eleven billion, thirty-four million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 13136231 26272462 39408693 52544924 65681155 78817386 91953617 105089848 131362310 157634772 183907234 197043465 262724620 275860851 315269544 367814468 394086930 459768085 525449240 551721702 735628936 788173860 919536170 1103443404 1379304255 1576347720 1839072340 2206886808 2758608510 3678144680 5517217020 11034434040