Search a number
-
+
1023050541420 = 223255683614119
BaseRepresentation
bin11101110001100101001…
…00000110100101101100
310121210200011002020212100
432320302210012211230
5113230201414311140
62101552151335100
7133625101056465
oct16706244064554
93553604066770
101023050541420
113649673a5926
12146335681490
137561c97266b
143773192dd6c
151b92a20b530
hexee3290696c

1023050541420 has 36 divisors (see below), whose sum is σ = 3103253309520. Its totient is φ = 272813477664.

The previous prime is 1023050541361. The next prime is 1023050541431. The reversal of 1023050541420 is 241450503201.

1023050541420 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 50 + 541 + 42 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2841806880 + ... + 2841807239.

It is an arithmetic number, because the mean of its divisors is an integer number (86201480820).

Almost surely, 21023050541420 is an apocalyptic number.

1023050541420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023050541420 is an abundant number, since it is smaller than the sum of its proper divisors (2080202768100).

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

1023050541420 is a wasteful number, since it uses less digits than its factorization.

1023050541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683614134 (or 5683614129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1023050541420 in words is "one trillion, twenty-three billion, fifty million, five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5683614119 11367228238 17050842357 22734456476 28418070595 34101684714 51152527071 56836141190 68203369428 85254211785 102305054142 113672282380 170508423570 204610108284 255762635355 341016847140 511525270710 1023050541420