Search a number
-
+
1157474424100 = 225226943028789
BaseRepresentation
bin10000110101111110110…
…110100001010100100100
311002122122101100000122211
4100311332312201110210
5122431001423032400
62243423021533204
7146424203162131
oct20657666412444
94078571300584
101157474424100
11406978156545
121683aba14204
13851c321c947
144004476d588
1520196624dba
hex10d7eda1524

1157474424100 has 36 divisors (see below), whose sum is σ = 2521056806100. Its totient is φ = 461268607360.

The previous prime is 1157474424097. The next prime is 1157474424107. The reversal of 1157474424100 is 14244747511.

It can be written as a sum of positive squares in 6 ways, for example, as 510218775616 + 647255648484 = 714296^2 + 804522^2 .

It is not an unprimeable number, because it can be changed into a prime (1157474424107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21487495 + ... + 21541294.

It is an arithmetic number, because the mean of its divisors is an integer number (70029355725).

Almost surely, 21157474424100 is an apocalyptic number.

1157474424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157474424100 is an abundant number, since it is smaller than the sum of its proper divisors (1363582382000).

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

1157474424100 is a wasteful number, since it uses less digits than its factorization.

1157474424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43029072 (or 43029065 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 1157474424100 in words is "one trillion, one hundred fifty-seven billion, four hundred seventy-four million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 2690 5380 6725 13450 26900 43028789 86057578 172115156 215143945 430287890 860575780 1075719725 2151439450 4302878900 11574744241 23149488482 46298976964 57873721205 115747442410 231494884820 289368606025 578737212050 1157474424100