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12344421342330 = 232572111157921977
BaseRepresentation
bin1011001110100010100011…
…0110010101110001111010
31121201010002221121010111200
42303220220312111301322
53104222333330423310
642130540542435030
72412566161063500
oct263505066256172
947633087533450
1012344421342330
113a2a270036070
121474521892a76
136b70c659712c
1430968a5a0670
151661903189c0
hexb3a28d95c7a

12344421342330 has 288 divisors, whose sum is σ = 40735090693440. Its totient is φ = 2564736330240.

The previous prime is 12344421342277. The next prime is 12344421342373. The reversal of 12344421342330 is 3324312444321.

12344421342330 is a `hidden beast` number, since 1 + 2 + 34 + 44 + 213 + 42 + 330 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 561686302 + ... + 561708278.

It is an arithmetic number, because the mean of its divisors is an integer number (141441287130).

Almost surely, 212344421342330 is an apocalyptic number.

12344421342330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344421342330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367545346720).

12344421342330 is an abundant number, since it is smaller than the sum of its proper divisors (28390669351110).

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

12344421342330 is a wasteful number, since it uses less digits than its factorization.

12344421342330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33594 (or 33584 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 12344421342330 its reverse (3324312444321), we get a palindrome (15668733786651).

The spelling of 12344421342330 in words is "twelve trillion, three hundred forty-four billion, four hundred twenty-one million, three hundred forty-two thousand, three hundred thirty".