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11042041440 = 253523004253
BaseRepresentation
bin10100100100010100…
…00010111001100000
31001111112112211020210
422102022002321200
5140103230311230
65023405134120
7540426542433
oct122212027140
931445484223
1011042041440
114756a43191
122181b5a340
13106c857441
1476a6d581a
154495e5eb0
hex292282e60

11042041440 has 48 divisors (see below), whose sum is σ = 34782432048. Its totient is φ = 2944544256.

The previous prime is 11042041429. The next prime is 11042041441. The reversal of 11042041440 is 4414024011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042041441) 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, 11501647 + ... + 11502606.

It is an arithmetic number, because the mean of its divisors is an integer number (724634001).

Almost surely, 211042041440 is an apocalyptic number.

11042041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11042041440 is an abundant number, since it is smaller than the sum of its proper divisors (23740390608).

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

11042041440 is a wasteful number, since it uses less digits than its factorization.

11042041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23004271 (or 23004263 counting only the distinct ones).

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

Adding to 11042041440 its reverse (4414024011), we get a palindrome (15456065451).

The spelling of 11042041440 in words is "eleven billion, forty-two million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23004253 46008506 69012759 92017012 115021265 138025518 184034024 230042530 276051036 345063795 368068048 460085060 552102072 690127590 736136096 920170120 1104204144 1380255180 1840340240 2208408288 2760510360 3680680480 5521020720 11042041440