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11214403040 = 255473494273
BaseRepresentation
bin10100111000110111…
…00011010111100000
31001221112212200220202
422130123203113200
5140431341344130
65052443324332
7544621565411
oct123433432740
931845780822
1011214403040
114835268a95
12220b8206a8
131099485659
14785561808
154597e1145
hex29c6e35e0

11214403040 has 96 divisors (see below), whose sum is σ = 27141609600. Its totient is φ = 4376715264.

The previous prime is 11214403021. The next prime is 11214403061. The reversal of 11214403040 is 4030441211.

11214403040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112144030402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2622344 + ... + 2626616.

It is an arithmetic number, because the mean of its divisors is an integer number (282725100).

Almost surely, 211214403040 is an apocalyptic number.

11214403040 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 11214403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570804800).

11214403040 is an abundant number, since it is smaller than the sum of its proper divisors (15927206560).

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

11214403040 is a wasteful number, since it uses less digits than its factorization.

11214403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11214403040 its reverse (4030441211), we get a palindrome (15244844251).

The spelling of 11214403040 in words is "eleven billion, two hundred fourteen million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 349 376 470 698 752 940 1396 1504 1745 1880 2792 3490 3760 4273 5584 6980 7520 8546 11168 13960 16403 17092 21365 27920 32806 34184 42730 55840 65612 68368 82015 85460 131224 136736 164030 170920 200831 262448 328060 341840 401662 524896 656120 683680 803324 1004155 1312240 1491277 1606648 2008310 2624480 2982554 3213296 4016620 5965108 6426592 7456385 8033240 11930216 14912770 16066480 23860432 29825540 32132960 47720864 59651080 70090019 119302160 140180038 238604320 280360076 350450095 560720152 700900190 1121440304 1401800380 2242880608 2803600760 5607201520 11214403040