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141427253880000 = 26375411231431
BaseRepresentation
bin100000001010000010011001…
…001110101010010011000000
3200112202022110111012220000000
4200022002121032222103000
5122014121003443130000
61220442441123000000
741534532123064164
oct4012023116522300
9615668414186000
10141427253880000
1141076a638a5a00
1213a41671209000
1360bb6c079888a
1426cd189344ca4
151153caa130000
hex80a0993aa4c0

141427253880000 has 3360 divisors, whose sum is σ = 598155313029120. Its totient is φ = 33102432000000.

The previous prime is 141427253879963. The next prime is 141427253880019. The reversal of 141427253880000 is 88352724141.

141427253880000 is a `hidden beast` number, since 1 + 4 + 1 + 42 + 72 + 538 + 8 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 328137479785 + ... + 328137480215.

It is an arithmetic number, because the mean of its divisors is an integer number (178022414592).

Almost surely, 2141427253880000 is an apocalyptic number.

141427253880000 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 141427253880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299077656514560).

141427253880000 is an abundant number, since it is smaller than the sum of its proper divisors (456728059149120).

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

141427253880000 is an frugal number, since it uses more digits than its factorization.

141427253880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 141427253880000 in words is "one hundred forty-one trillion, four hundred twenty-seven billion, two hundred fifty-three million, eight hundred eighty thousand".