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30408421299840 = 273453719183003
BaseRepresentation
bin1101110101000000000110…
…01001100101011010000000
310222200000110011102111010000
412322200003021211122000
512441202421323043330
6144401234053040000
76255636012223623
oct672400311453200
9128600404374100
1030408421299840
119764159094691
1234b1432926000
1313c766a67bc3c
14771abdb63dba
1537aed5b8c560
hex1ba803265680

30408421299840 has 640 divisors, whose sum is σ = 112114206673920. Its totient is φ = 7848350392320.

The previous prime is 30408421299799. The next prime is 30408421299847. The reversal of 30408421299840 is 4899212480403.

It is a happy number.

30408421299840 is a `hidden beast` number, since 30 + 40 + 8 + 421 + 29 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (30408421299847) by changing a digit.

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, 366311779 + ... + 366394781.

It is an arithmetic number, because the mean of its divisors is an integer number (175178447928).

Almost surely, 230408421299840 is an apocalyptic number.

30408421299840 is a gapful number since it is divisible by the number (30) 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 30408421299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56057103336960).

30408421299840 is an abundant number, since it is smaller than the sum of its proper divisors (81705785374080).

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

30408421299840 is a wasteful number, since it uses less digits than its factorization.

30408421299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83262 (or 83241 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 30408421299840 in words is "thirty trillion, four hundred eight billion, four hundred twenty-one million, two hundred ninety-nine thousand, eight hundred forty".