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11120434332440 = 2351994017514639
BaseRepresentation
bin1010000111010010110110…
…0010011100001100011000
31110101002210012002122220112
42201310231202130030120
52424144122142114230
635352353525143452
72225265505132136
oct241645542341430
943332705078815
1011120434332440
1135a81712a9464
1212b726ab5ab88
136288635b0964
142a633645c756
15144404855d95
hexa1d2d89c318

11120434332440 has 128 divisors (see below), whose sum is σ = 25248430080000. Its totient is φ = 4407955200000.

The previous prime is 11120434332421. The next prime is 11120434332451. The reversal of 11120434332440 is 4423343402111.

It is a super-2 number, since 2×111204343324402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11120434332397 and 11120434332406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2397159641 + ... + 2397164279.

It is an arithmetic number, because the mean of its divisors is an integer number (197253360000).

Almost surely, 211120434332440 is an apocalyptic number.

11120434332440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120434332440 is an abundant number, since it is smaller than the sum of its proper divisors (14127995747560).

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

11120434332440 is a wasteful number, since it uses less digits than its factorization.

11120434332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 11120434332440 its reverse (4423343402111), we get a palindrome (15543777734551).

The spelling of 11120434332440 in words is "eleven trillion, one hundred twenty billion, four hundred thirty-four million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 199 398 401 751 796 802 995 1502 1592 1604 1990 2005 3004 3208 3755 3980 4010 4639 6008 7510 7960 8020 9278 15020 16040 18556 23195 30040 37112 46390 79799 92780 149449 159598 185560 298898 301151 319196 398995 597796 602302 638392 747245 797990 923161 1195592 1204604 1494490 1505755 1595980 1846322 1860239 2409208 2988980 3011510 3191960 3483889 3692644 3720478 4615805 5977960 6023020 6967778 7385288 7440956 9231610 9301195 12046040 13935556 14881912 17419445 18463220 18602390 27871112 34838890 36926440 37204780 59929049 69677780 74409560 119858098 139355560 239716196 299645245 370187561 479432392 599290490 693293911 740375122 1198580980 1386587822 1397039489 1480750244 1850937805 2397161960 2773175644 2794078978 2961500488 3466469555 3701875610 5546351288 5588157956 6932939110 6985197445 7403751220 11176315912 13865878220 13970394890 14807502440 27731756440 27940789780 55881579560 278010858311 556021716622 1112043433244 1390054291555 2224086866488 2780108583110 5560217166220 11120434332440