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11420441040 = 243554786993
BaseRepresentation
bin10101010001011011…
…00001100111010000
31002110220120111220210
422220231201213100
5141342113103130
65125123404120
7553003101321
oct125055414720
932426514823
1011420441040
1149305a5428
122268823640
131100075028
147a4a76448
1546c93e5b0
hex2a8b619d0

11420441040 has 80 divisors (see below), whose sum is σ = 35468497728. Its totient is φ = 3039848448.

The previous prime is 11420441027. The next prime is 11420441041. The reversal of 11420441040 is 4014402411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11420440998 and 11420441016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420441041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87784 + ... + 174776.

Almost surely, 211420441040 is an apocalyptic number.

11420441040 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 11420441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17734248864).

11420441040 is an abundant number, since it is smaller than the sum of its proper divisors (24048056688).

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

11420441040 is a wasteful number, since it uses less digits than its factorization.

11420441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87556 (or 87550 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11420441040 its reverse (4014402411), we get a palindrome (15434843451).

The spelling of 11420441040 in words is "eleven billion, four hundred twenty million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 547 1094 1641 2188 2735 3282 4376 5470 6564 8205 8752 10940 13128 16410 21880 26256 32820 43760 65640 86993 131280 173986 260979 347972 434965 521958 695944 869930 1043916 1304895 1391888 1739860 2087832 2609790 3479720 4175664 5219580 6959440 10439160 20878320 47585171 95170342 142755513 190340684 237925855 285511026 380681368 475851710 571022052 713777565 761362736 951703420 1142044104 1427555130 1903406840 2284088208 2855110260 3806813680 5710220520 11420441040