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141078322944 = 2833132235989
BaseRepresentation
bin1000001101100011101…
…1000101111100000000
3111111010222202100202000
42003120323011330000
54302412022313234
6144451022024000
713123023646656
oct2033073057400
9444128670660
10141078322944
1154916043129
1223412a18000
13103c40c3100
146b84926dd6
153a0a724899
hex20d8ec5f00

141078322944 has 864 divisors, whose sum is σ = 484771392000. Its totient is φ = 40359002112.

The previous prime is 141078322927. The next prime is 141078322949. The reversal of 141078322944 is 449223870141.

141078322944 is a `hidden beast` number, since 1 + 410 + 7 + 8 + 3 + 229 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 141078322944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141078322949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1585149652 + ... + 1585149740.

It is an arithmetic number, because the mean of its divisors is an integer number (561078000).

Almost surely, 2141078322944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141078322944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242385696000).

141078322944 is an abundant number, since it is smaller than the sum of its proper divisors (343693069056).

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

141078322944 is a wasteful number, since it uses less digits than its factorization.

141078322944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 141078322944 in words is "one hundred forty-one billion, seventy-eight million, three hundred twenty-two thousand, nine hundred forty-four".