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141427606320 = 2432572111317297
BaseRepresentation
bin1000001110110110111…
…1100000001100110000
3111112001022222210110100
42003231233200030300
54304120431400240
6144545420232400
713134464550600
oct2035557401460
9445038883410
10141427606320
1154a85218980
12234ab99b700
131044b588070
146bb9088c00
153a2b21ae30
hex20edbe0330

141427606320 has 2160 divisors, whose sum is σ = 696634350048. Its totient is φ = 25268060160.

The previous prime is 141427606297. The next prime is 141427606339. The reversal of 141427606320 is 23606724141.

141427606320 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 27 + 606 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 431 ways as a sum of consecutive naturals, for example, 1458016512 + ... + 1458016608.

Almost surely, 2141427606320 is an apocalyptic number.

141427606320 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 141427606320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348317175024).

141427606320 is an abundant number, since it is smaller than the sum of its proper divisors (555206743728).

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

141427606320 is a wasteful number, since it uses less digits than its factorization.

141427606320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 141427 and 606320, that added together give a palindrome (747747).

The spelling of 141427606320 in words is "one hundred forty-one billion, four hundred twenty-seven million, six hundred six thousand, three hundred twenty".