Search a number
-
+
1141442100 = 2232521966751
BaseRepresentation
bin100010000001001…
…0000011000110100
32221112211021012100
41010002100120310
54314202121400
6305133022100
740200045351
oct10402203064
92845737170
101141442100
11536350387
1227a324930
13152630a36
14ab849628
156a320100
hex44090634

1141442100 has 108 divisors (see below), whose sum is σ = 3766147840. Its totient is φ = 288360000.

The previous prime is 1141442077. The next prime is 1141442111. The reversal of 1141442100 is 12441411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16276 + ... + 50475.

Almost surely, 21141442100 is an apocalyptic number.

1141442100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141442100 is an abundant number, since it is smaller than the sum of its proper divisors (2624705740).

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

1141442100 is a wasteful number, since it uses less digits than its factorization.

1141442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66790 (or 66780 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1141442100 is about 33785.2349407252. The cubic root of 1141442100 is about 1045.0842327346.

Adding to 1141442100 its reverse (12441411), we get a palindrome (1153883511).

The spelling of 1141442100 in words is "one billion, one hundred forty-one million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 66751 133502 200253 267004 333755 400506 600759 667510 801012 1001265 1201518 1268269 1335020 1668775 2002530 2403036 2536538 3003795 3337550 3804807 4005060 5006325 5073076 6007590 6341345 6675100 7609614 10012650 11414421 12015180 12682690 15018975 15219228 19024035 20025300 22828842 25365380 30037950 31706725 38048070 45657684 57072105 60075900 63413450 76096140 95120175 114144210 126826900 190240350 228288420 285360525 380480700 570721050 1141442100