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11406330040 = 2357192144047
BaseRepresentation
bin10101001111101111…
…01100100010111000
31002102221000121021011
422213313230202320
5141330010030130
65123501123304
7552442130350
oct124767544270
932387017234
1011406330040
114923637646
122263b59534
1310ca174221
147a2c41b60
1546b5a352a
hex2a7dec8b8

11406330040 has 64 divisors (see below), whose sum is σ = 30874291200. Its totient is φ = 3704911488.

The previous prime is 11406329989. The next prime is 11406330041. The reversal of 11406330040 is 4003360411.

It is a junction number, because it is equal to n+sod(n) for n = 11406329993 and 11406330020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406330041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1066704 + ... + 1077343.

It is an arithmetic number, because the mean of its divisors is an integer number (482410800).

Almost surely, 211406330040 is an apocalyptic number.

11406330040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11406330040 is an abundant number, since it is smaller than the sum of its proper divisors (19467961160).

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

11406330040 is a wasteful number, since it uses less digits than its factorization.

11406330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144084 (or 2144080 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11406330040 its reverse (4003360411), we get a palindrome (15409690451).

The spelling of 11406330040 in words is "eleven billion, four hundred six million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 2144047 4288094 8576188 10720235 15008329 17152376 21440470 30016658 40736893 42880940 60033316 75041645 81473786 85761880 120066632 150083290 162947572 203684465 285158251 300166580 325895144 407368930 570316502 600333160 814737860 1140633004 1425791255 1629475720 2281266008 2851582510 5703165020 11406330040