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141356433240 = 2332511233494447
BaseRepresentation
bin1000001110100101111…
…1111111111101011000
3111111212101001211100100
42003221133333331120
54303444221330430
6144534354535400
713132641600111
oct2035137777530
9444771054310
10141356433240
1154a49026550
122348bb97560
13104398c8609
146bad83d208
153a24d5c960
hex20e97fff58

141356433240 has 384 divisors, whose sum is σ = 524579328000. Its totient is φ = 32677032960.

The previous prime is 141356433107. The next prime is 141356433277. The reversal of 141356433240 is 42334653141.

141356433240 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 5 + 643 + 3 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141356433195 and 141356433204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31784697 + ... + 31789143.

It is an arithmetic number, because the mean of its divisors is an integer number (1366092000).

Almost surely, 2141356433240 is an apocalyptic number.

141356433240 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 141356433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262289664000).

141356433240 is an abundant number, since it is smaller than the sum of its proper divisors (383222894760).

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

141356433240 is a wasteful number, since it uses less digits than its factorization.

141356433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 141356433240 in words is "one hundred forty-one billion, three hundred fifty-six million, four hundred thirty-three thousand, two hundred forty".