Search a number
-
+
1144101310000 = 24541141253681
BaseRepresentation
bin10000101001100001110…
…000001000111000110000
311001101010101110102212121
4100221201300020320300
5122221104413410000
62233332021404024
7145441616451235
oct20514160107060
94041111412777
101144101310000
114012353a9a30
12165899269614
1383b7176108c
143d53663b78c
151eb62570b1a
hex10a61c08e30

1144101310000 has 200 divisors, whose sum is σ = 3095515030608. Its totient is φ = 405888000000.

The previous prime is 1144101309983. The next prime is 1144101310031. The reversal of 1144101310000 is 131014411.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11441013100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4383160 + ... + 4636840.

Almost surely, 21144101310000 is an apocalyptic number.

1144101310000 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 1144101310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547757515304).

1144101310000 is an abundant number, since it is smaller than the sum of its proper divisors (1951413720608).

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

1144101310000 is a wasteful number, since it uses less digits than its factorization.

1144101310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253761 (or 253740 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1144101310000 its reverse (131014411), we get a palindrome (1144232324411).

The spelling of 1144101310000 in words is "one trillion, one hundred forty-four billion, one hundred one million, three hundred ten thousand".