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11374389411840 = 2143657213223
BaseRepresentation
bin1010010110000100111001…
…1100001100000000000000
31111021101021202101101000000
42211201032130030000000
52442324222142134330
640105153344000000
72252525654524500
oct245411634140000
944241252341000
1011374389411840
113695940325374
121338524000000
136467a5b93b00
142b474824da00
1514ad199c0560
hexa584e70c000

11374389411840 has 3780 divisors, whose sum is σ = 53795417279184. Its totient is φ = 2295528947712.

The previous prime is 11374389411839. The next prime is 11374389411841. The reversal of 11374389411840 is 4811498347311.

11374389411840 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 438 + 94 + 118 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11374389411839) and next prime (11374389411841).

It is a tau number, because it is divible by the number of its divisors (3780).

It is a super-2 number, since 2×113743894118402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11374389411841) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 494538670069 + ... + 494538670091.

Almost surely, 211374389411840 is an apocalyptic number.

11374389411840 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 11374389411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26897708639592).

11374389411840 is an abundant number, since it is smaller than the sum of its proper divisors (42421027867344).

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

11374389411840 is an frugal number, since it uses more digits than its factorization.

11374389411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11374389411840 in words is "eleven trillion, three hundred seventy-four billion, three hundred eighty-nine million, four hundred eleven thousand, eight hundred forty".