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11034022440 = 2335775117491
BaseRepresentation
bin10100100011010110…
…11101001000101000
31001110222110102020210
422101223131020220
5140044202204230
65022521221120
7540301433430
oct122153351050
931428412223
1011034022440
114752466411
12217b3317a0
13106acaa47c
147696092c0
15448a5eeb0
hex291add228

11034022440 has 128 divisors (see below), whose sum is σ = 37883473920. Its totient is φ = 2518560000.

The previous prime is 11034022429. The next prime is 11034022453. The reversal of 11034022440 is 4422043011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622095 + ... + 639585.

It is an arithmetic number, because the mean of its divisors is an integer number (295964640).

Almost surely, 211034022440 is an apocalyptic number.

11034022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11034022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941736960).

11034022440 is an abundant number, since it is smaller than the sum of its proper divisors (26849451480).

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

11034022440 is a wasteful number, since it uses less digits than its factorization.

11034022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18263 (or 18259 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11034022440 its reverse (4422043011), we get a palindrome (15456065451).

The spelling of 11034022440 in words is "eleven billion, thirty-four million, twenty-two thousand, four hundred 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 84 105 120 140 168 210 280 420 751 840 1502 2253 3004 3755 4506 5257 6008 7510 9012 10514 11265 15020 15771 17491 18024 21028 22530 26285 30040 31542 34982 42056 45060 52473 52570 63084 69964 78855 87455 90120 104946 105140 122437 126168 139928 157710 174910 209892 210280 244874 262365 315420 349820 367311 419784 489748 524730 612185 630840 699640 734622 979496 1049460 1224370 1469244 1836555 2098920 2448740 2938488 3673110 4897480 7346220 13135741 14692440 26271482 39407223 52542964 65678705 78814446 91950187 105085928 131357410 157628892 183900374 197036115 262714820 275850561 315257784 367800748 394072230 459750935 525429640 551701122 735601496 788144460 919501870 1103402244 1379252805 1576288920 1839003740 2206804488 2758505610 3678007480 5517011220 11034022440