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141525234055440 = 243258591117204859
BaseRepresentation
bin100000001011011101101001…
…010011010111100100010000
3200120002200100220012111211200
4200023131221103113210100
5122022222134404233230
61220555443414111200
741544601142612304
oct4013355123274420
9616080326174750
10141525234055440
1141104573083a04
1213a5865664b500
1360c7a069ac651
1426d3c02029d04
1511565e1d8d160
hex80b7694d7910

141525234055440 has 240 divisors, whose sum is σ = 476270540990400. Its totient is φ = 37662196036608.

The previous prime is 141525234055409. The next prime is 141525234055463. The reversal of 141525234055440 is 44550432525141.

141525234055440 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 2 + 52 + 3 + 4 + 0 + 554 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 690739731 + ... + 690944589.

It is an arithmetic number, because the mean of its divisors is an integer number (1984460587460).

Almost surely, 2141525234055440 is an apocalyptic number.

141525234055440 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 141525234055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238135270495200).

141525234055440 is an abundant number, since it is smaller than the sum of its proper divisors (334745306934960).

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

141525234055440 is a wasteful number, since it uses less digits than its factorization.

141525234055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206854 (or 206845 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 141525234055440 in words is "one hundred forty-one trillion, five hundred twenty-five billion, two hundred thirty-four million, fifty-five thousand, four hundred forty".