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11014301342040 = 2335107857811631
BaseRepresentation
bin1010000001000111011110…
…0001001101100101011000
31102222221211121011010110020
42200101313201031211120
52420424242120421130
635231522234550440
72214520440451143
oct240216741154530
942887747133406
1011014301342040
113567158a68957
12129a78b298420
1361b84b2b0819
142a1148a9105a
15141791eb3e10
hexa047784d958

11014301342040 has 64 divisors (see below), whose sum is σ = 33351716252160. Its totient is φ = 2909697048960.

The previous prime is 11014301341993. The next prime is 11014301342047. The reversal of 11014301342040 is 4024310341011.

It is a super-3 number, since 3×110143013420403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11014301342040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014301342047) 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, 428892976 + ... + 428918655.

It is an arithmetic number, because the mean of its divisors is an integer number (521120566440).

Almost surely, 211014301342040 is an apocalyptic number.

11014301342040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11014301342040 is an abundant number, since it is smaller than the sum of its proper divisors (22337414910120).

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

11014301342040 is a wasteful number, since it uses less digits than its factorization.

11014301342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857811752 (or 857811748 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11014301342040 its reverse (4024310341011), we get a palindrome (15038611683051).

The spelling of 11014301342040 in words is "eleven trillion, fourteen billion, three hundred one million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 857811631 1715623262 2573434893 3431246524 4289058155 5146869786 6862493048 8578116310 10293739572 12867174465 17156232620 20587479144 25734348930 34312465240 51468697860 91785844517 102937395720 183571689034 275357533551 367143378068 458929222585 550715067102 734286756136 917858445170 1101430134204 1376787667755 1835716890340 2202860268408 2753575335510 3671433780680 5507150671020 11014301342040