Search a number
-
+
145934169381 = 327111331975387
BaseRepresentation
bin1000011111101001011…
…0101011010100100101
3111221200101212220210100
42013322112223110211
54342333121410011
6151012523414313
713354245654450
oct2077226532445
9457611786710
10145934169381
1156988041460
1224349084399
13109b911bc20
1470c57c2497
153be1ba3d56
hex21fa5ab525

145934169381 has 192 divisors, whose sum is σ = 295220330496. Its totient is φ = 67010457600.

The previous prime is 145934169379. The next prime is 145934169473. The reversal of 145934169381 is 183961439541.

145934169381 is a `hidden beast` number, since 1 + 4 + 593 + 4 + 16 + 9 + 38 + 1 = 666.

It is not a de Polignac number, because 145934169381 - 21 = 145934169379 is a prime.

It is a super-2 number, since 2×1459341693812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145934169371) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27087370 + ... + 27092756.

It is an arithmetic number, because the mean of its divisors is an integer number (1537605888).

Almost surely, 2145934169381 is an apocalyptic number.

145934169381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145934169381 is an abundant number, since it is smaller than the sum of its proper divisors (149286161115).

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

145934169381 is a wasteful number, since it uses less digits than its factorization.

145934169381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5549 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 145934169381 in words is "one hundred forty-five billion, nine hundred thirty-four million, one hundred sixty-nine thousand, three hundred eighty-one".