Search a number
-
+
141141588989184 = 283273415238329
BaseRepresentation
bin100000000101111000010110…
…010001100101010100000000
3200111202000010000022212012200
4200011320112101211110000
5121444430433240123214
61220103314552553200
741505100102425000
oct4005702621452400
9614660100285180
10141141588989184
1140a768a2481383
12139b62286b2800
13609a79681a2c4
1426bd409dcc000
15114b63b1ead09
hex805e16465500

141141588989184 has 864 divisors, whose sum is σ = 487135547808000. Its totient is φ = 39262663802880.

The previous prime is 141141588989161. The next prime is 141141588989201. The reversal of 141141588989184 is 481989885141141.

It is a happy number.

141141588989184 is a `hidden beast` number, since 1 + 41 + 1 + 415 + 8 + 8 + 9 + 8 + 91 + 84 = 666.

It is a super-2 number, since 2×1411415889891842 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 16945798332 + ... + 16945806660.

Almost surely, 2141141588989184 is an apocalyptic number.

141141588989184 is a gapful number since it is divisible by the number (14) 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 141141588989184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243567773904000).

141141588989184 is an abundant number, since it is smaller than the sum of its proper divisors (345993958818816).

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

141141588989184 is an equidigital number, since it uses as much as digits as its factorization.

141141588989184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8905 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 72.

The spelling of 141141588989184 in words is "one hundred forty-one trillion, one hundred forty-one billion, five hundred eighty-eight million, nine hundred eighty-nine thousand, one hundred eighty-four".