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141456466368 = 263671133833
BaseRepresentation
bin1000001110111101110…
…1100110000111000000
3111112010100022001000000
42003233131212013000
54304200323410433
6144552331000000
713135265060640
oct2035735460700
9445110261000
10141456466368
1154a9a53a958
12234b9599000
1310454551209
146bbcc3c520
153a2da1c113
hex20ef7661c0

141456466368 has 392 divisors, whose sum is σ = 485367653088. Its totient is φ = 40048017408.

The previous prime is 141456466367. The next prime is 141456466399. The reversal of 141456466368 is 863664654141.

141456466368 is a `hidden beast` number, since 1 + 4 + 14 + 564 + 6 + 6 + 3 + 68 = 666.

It is a super-2 number, since 2×1414564663682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141456466367) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 36902980 + ... + 36906812.

Almost surely, 2141456466368 is an apocalyptic number.

141456466368 is a gapful number since it is divisible by the number (18) 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 141456466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242683826544).

141456466368 is an abundant number, since it is smaller than the sum of its proper divisors (343911186720).

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

141456466368 is an equidigital number, since it uses as much as digits as its factorization.

141456466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3958 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 141456466368 in words is "one hundred forty-one billion, four hundred fifty-six million, four hundred sixty-six thousand, three hundred sixty-eight".