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11422545661440 = 293451911325657
BaseRepresentation
bin1010011000111000010011…
…0001101100111000000000
31111102222120211212022120000
42212032010301230320000
52444121333142131230
640143240043320000
72256152221064604
oct246160461547000
944388524768500
1011422545661440
113704302271461
121345923520000
1364b1ab965b64
142b6bd5b59504
1514c1d7568b60
hexa6384c6ce00

11422545661440 has 800 divisors, whose sum is σ = 43448011247520. Its totient is φ = 2860047138816.

The previous prime is 11422545661427. The next prime is 11422545661453. The reversal of 11422545661440 is 4416654522411.

11422545661440 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 545 + 6 + 61 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11422545661427) and next prime (11422545661453).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 445189092 + ... + 445214748.

Almost surely, 211422545661440 is an apocalyptic number.

11422545661440 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 11422545661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21724005623760).

11422545661440 is an abundant number, since it is smaller than the sum of its proper divisors (32025465586080).

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

11422545661440 is a wasteful number, since it uses less digits than its factorization.

11422545661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25824 (or 25799 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 11422545661440 in words is "eleven trillion, four hundred twenty-two billion, five hundred forty-five million, six hundred sixty-one thousand, four hundred forty".