Search a number
-
+
1124354000000 = 27567311149
BaseRepresentation
bin10000010111001000101…
…110001000010010000000
310222111011011102011010202
4100113020232020102000
5121410134111000000
62220304320144332
7144142353212000
oct20271056102200
93874134364122
101124354000000
113a3921580720
12161aa7a680a8
138204552b36a
143c5c1b32000
151e3a8abadd5
hex105c8b88480

1124354000000 has 896 divisors, whose sum is σ = 3585891600000. Its totient is φ = 348096000000.

The previous prime is 1124353999969. The next prime is 1124354000009. The reversal of 1124354000000 is 4534211.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1124354000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7545999926 + ... + 7546000074.

Almost surely, 21124354000000 is an apocalyptic number.

1124354000000 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 1124354000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792945800000).

1124354000000 is an abundant number, since it is smaller than the sum of its proper divisors (2461537600000).

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

1124354000000 is an frugal number, since it uses more digits than its factorization.

1124354000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1124354000000 its reverse (4534211), we get a palindrome (1124358534211).

The spelling of 1124354000000 in words is "one trillion, one hundred twenty-four billion, three hundred fifty-four million", and thus it is an aban number.