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1141134420 = 2235232113919
BaseRepresentation
bin100010000000100…
…0101010001010100
32221112020122010210
41010001011101110
54314112300140
6305122245420
740164324336
oct10401052124
92845218123
101141134420
115361601a8
1227a1b6870
1315255398a
14ab7a9456
156a2add80
hex44045454

1141134420 has 96 divisors (see below), whose sum is σ = 3350753280. Its totient is φ = 289618560.

The previous prime is 1141134413. The next prime is 1141134431. The reversal of 1141134420 is 244311411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289221 + ... + 293139.

It is an arithmetic number, because the mean of its divisors is an integer number (34903680).

Almost surely, 21141134420 is an apocalyptic number.

1141134420 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 1141134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675376640).

1141134420 is an abundant number, since it is smaller than the sum of its proper divisors (2209618860).

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

1141134420 is a wasteful number, since it uses less digits than its factorization.

1141134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1141134420 is about 33780.6811654235. The cubic root of 1141134420 is about 1044.9903221710.

Adding to 1141134420 its reverse (244311411), we get a palindrome (1385445831).

It can be divided in two parts, 1141134 and 420, that multiplied together give a triangular number (479276280 = T30960).

The spelling of 1141134420 in words is "one billion, one hundred forty-one million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 211 230 276 345 422 460 633 690 844 1055 1266 1380 2110 2532 3165 3919 4220 4853 6330 7838 9706 11757 12660 14559 15676 19412 19595 23514 24265 29118 39190 47028 48530 58236 58785 72795 78380 90137 97060 117570 145590 180274 235140 270411 291180 360548 450685 540822 826909 901370 1081644 1352055 1653818 1802740 2480727 2704110 3307636 4134545 4961454 5408220 8269090 9922908 12403635 16538180 19018907 24807270 38037814 49614540 57056721 76075628 95094535 114113442 190189070 228226884 285283605 380378140 570567210 1141134420