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11140424221024 = 2571916715674137
BaseRepresentation
bin1010001000011101010100…
…0001110100000101100000
31110110000101022121012220101
42202013111001310011200
52430011042100033044
635405501253552144
72226604045313530
oct242072501640540
943400338535811
1011140424221024
11360569a05163a
1212bb109645654
1362a6cab580b7
142a72b12714c0
15144bc4775cd4
hexa21d5074160

11140424221024 has 96 divisors (see below), whose sum is σ = 26543212254720. Its totient is φ = 4496094563328.

The previous prime is 11140424220997. The next prime is 11140424221033. The reversal of 11140424221024 is 42012242404111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11140424220983 and 11140424221001.

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, 7126317 + ... + 8547820.

It is an arithmetic number, because the mean of its divisors is an integer number (276491794320).

Almost surely, 211140424221024 is an apocalyptic number.

11140424221024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11140424221024 is an abundant number, since it is smaller than the sum of its proper divisors (15402788033696).

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

11140424221024 is a wasteful number, since it uses less digits than its factorization.

11140424221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15674340 (or 15674332 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 11140424221024 its reverse (42012242404111), we get a palindrome (53152666625135).

The spelling of 11140424221024 in words is "eleven trillion, one hundred forty billion, four hundred twenty-four million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 167 224 266 304 334 532 608 668 1064 1169 1336 2128 2338 2672 3173 4256 4676 5344 6346 9352 12692 18704 22211 25384 37408 44422 50768 88844 101536 177688 355376 710752 15674137 31348274 62696548 109718959 125393096 219437918 250786192 297808603 438875836 501572384 595617206 877751672 1191234412 1755503344 2084660221 2382468824 2617580879 3511006688 4169320442 4764937648 5235161758 8338640884 9529875296 10470323516 16677281768 18323066153 20940647032 33354563536 36646132306 41881294064 49734036701 66709127072 73292264612 83762588128 99468073402 146584529224 198936146804 293169058448 348138256907 397872293608 586338116896 696276513814 795744587216 1392553027628 1591489174432 2785106055256 5570212110512 11140424221024