Search a number
-
+
1141400100 = 2235224115787
BaseRepresentation
bin100010000001000…
…0110001000100100
32221112202010120210
41010002012020210
54314144300400
6305132055420
740166512041
oct10402061044
92845663523
101141400100
11536321875
1227a304570
13152617899
14ab8381c8
156a312950
hex44086224

1141400100 has 72 divisors (see below), whose sum is σ = 3316364128. Its totient is φ = 303091200.

The previous prime is 1141400089. The next prime is 1141400171. The reversal of 1141400100 is 10041411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64407 + ... + 80193.

Almost surely, 21141400100 is an apocalyptic number.

1141400100 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 1141400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658182064).

1141400100 is an abundant number, since it is smaller than the sum of its proper divisors (2174964028).

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

1141400100 is a wasteful number, since it uses less digits than its factorization.

1141400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16045 (or 16038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1141400100 is about 33784.6133617065. The cubic root of 1141400100 is about 1045.0714144246.

Adding to 1141400100 its reverse (10041411), we get a palindrome (1151441511).

The spelling of 1141400100 in words is "one billion, one hundred forty-one million, four hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 482 723 964 1205 1446 2410 2892 3615 4820 6025 7230 12050 14460 15787 18075 24100 31574 36150 47361 63148 72300 78935 94722 157870 189444 236805 315740 394675 473610 789350 947220 1184025 1578700 2368050 3804667 4736100 7609334 11414001 15218668 19023335 22828002 38046670 45656004 57070005 76093340 95116675 114140010 190233350 228280020 285350025 380466700 570700050 1141400100