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1141400430 = 233559137523
BaseRepresentation
bin100010000001000…
…0110001101101110
32221112202011001000
41010002012031232
54314144303210
6305132101130
740166513022
oct10402061556
92845664030
101141400430
11536322045
1227a3047a6
13152617a91
14ab838382
156a312ac0
hex4408636e

1141400430 has 128 divisors (see below), whose sum is σ = 3123878400. Its totient is φ = 296462592.

The previous prime is 1141400423. The next prime is 1141400443. The reversal of 1141400430 is 340041411.

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 63 ways as a sum of consecutive naturals, for example, 2182149 + ... + 2182671.

It is an arithmetic number, because the mean of its divisors is an integer number (24405300).

Almost surely, 21141400430 is an apocalyptic number.

1141400430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141400430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561939200).

1141400430 is an abundant number, since it is smaller than the sum of its proper divisors (1982477970).

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

1141400430 is a wasteful number, since it uses less digits than its factorization.

1141400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1141400430 is about 33784.6182455863. The cubic root of 1141400430 is about 1045.0715151411.

Adding to 1141400430 its reverse (340041411), we get a palindrome (1481441841).

The spelling of 1141400430 in words is "one billion, one hundred forty-one million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 137 177 270 274 295 354 411 523 531 590 685 822 885 1046 1062 1233 1370 1569 1593 1770 2055 2466 2615 2655 3138 3186 3699 4110 4707 5230 5310 6165 7398 7845 7965 8083 9414 12330 14121 15690 15930 16166 18495 23535 24249 28242 30857 36990 40415 47070 48498 61714 70605 71651 72747 80830 92571 121245 141210 143302 145494 154285 185142 214953 218241 242490 277713 308570 358255 363735 429906 436482 462855 555426 644859 716510 727470 833139 925710 1074765 1091205 1289718 1388565 1666278 1934577 2149530 2182410 2777130 3224295 3869154 4165695 4227409 6448590 8331390 8454818 9672885 12682227 19345770 21137045 25364454 38046681 42274090 63411135 76093362 114140043 126822270 190233405 228280086 380466810 570700215 1141400430