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141395778216 = 2332711192314353
BaseRepresentation
bin1000001110101111011…
…0000101101010101000
3111111222010002202111200
42003223312011222220
54304034304400331
6144542322124200
713133630166360
oct2035366055250
9444863082450
10141395778216
1154a69259a60
12234a11b0660
1310444ac2c74
146bb4b619a0
153a285305e6
hex20ebd85aa8

141395778216 has 1152 divisors, whose sum is σ = 542284554240. Its totient is φ = 32267289600.

The previous prime is 141395778193. The next prime is 141395778217. The reversal of 141395778216 is 612877593141.

141395778216 is a `hidden beast` number, since 1 + 41 + 3 + 9 + 577 + 8 + 21 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (141395778217) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2667844846 + ... + 2667844898.

It is an arithmetic number, because the mean of its divisors is an integer number (470733120).

Almost surely, 2141395778216 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 141395778216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271142277120).

141395778216 is an abundant number, since it is smaller than the sum of its proper divisors (400888776024).

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

141395778216 is a wasteful number, since it uses less digits than its factorization.

141395778216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 141395778216 in words is "one hundred forty-one billion, three hundred ninety-five million, seven hundred seventy-eight thousand, two hundred sixteen".