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141384157107648 = 2637138717992821
BaseRepresentation
bin100000001001011010010000…
…011101100001010111000000
3200112121012020000001000110020
4200021122100131201113000
5122012414223204421043
61220410552441333440
741531445133420440
oct4011322035412700
9615535200030406
10141384157107648
114105a75889aa74
1213a35244197280
1360b7612c7b450
1426cb05b780120
151152ad683ae83
hex8096907615c0

141384157107648 has 224 divisors, whose sum is σ = 460415060636160. Its totient is φ = 37287299911680.

The previous prime is 141384157107587. The next prime is 141384157107649. The reversal of 141384157107648 is 846701751483141.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 141384157107591 and 141384157107600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141384157107649) 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 31 ways as a sum of consecutive naturals, for example, 1523145078 + ... + 1523237898.

It is an arithmetic number, because the mean of its divisors is an integer number (2055424377840).

Almost surely, 2141384157107648 is an apocalyptic number.

It is an amenable number.

141384157107648 is an abundant number, since it is smaller than the sum of its proper divisors (319030903528512).

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

141384157107648 is a wasteful number, since it uses less digits than its factorization.

141384157107648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180035 (or 180025 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 141384157107648 in words is "one hundred forty-one trillion, three hundred eighty-four billion, one hundred fifty-seven million, one hundred seven thousand, six hundred forty-eight".