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1121404440 = 2335134491601
BaseRepresentation
bin100001011010111…
…0100011000011000
32220011010020200210
41002311310120120
54244034420230
6303135331120
736534531462
oct10265643030
92804106623
101121404440
11526004832
12273680aa0
1314b436430
14a8d11132
15686b2eb0
hex42d74618

1121404440 has 128 divisors (see below), whose sum is σ = 3633336000. Its totient is φ = 275251200.

The previous prime is 1121404397. The next prime is 1121404463. The reversal of 1121404440 is 444041211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699640 + ... + 701240.

Almost surely, 21121404440 is an apocalyptic number.

1121404440 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 1121404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816668000).

1121404440 is an abundant number, since it is smaller than the sum of its proper divisors (2511931560).

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

1121404440 is a wasteful number, since it uses less digits than its factorization.

1121404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1121404440 is about 33487.3773234035. The cubic root of 1121404440 is about 1038.9327192000.

Adding to 1121404440 its reverse (444041211), we get a palindrome (1565445651).

The spelling of 1121404440 in words is "one billion, one hundred twenty-one million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 449 520 780 898 1347 1560 1601 1796 2245 2694 3202 3592 4490 4803 5388 5837 6404 6735 8005 8980 9606 10776 11674 12808 13470 16010 17511 17960 19212 20813 23348 24015 26940 29185 32020 35022 38424 41626 46696 48030 53880 58370 62439 64040 70044 83252 87555 96060 104065 116740 124878 140088 166504 175110 192120 208130 233480 249756 312195 350220 416260 499512 624390 700440 718849 832520 1248780 1437698 2156547 2497560 2875396 3594245 4313094 5750792 7188490 8626188 9345037 10782735 14376980 17252376 18690074 21565470 28035111 28753960 37380148 43130940 46725185 56070222 74760296 86261880 93450370 112140444 140175555 186900740 224280888 280351110 373801480 560702220 1121404440