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1121440040 = 235719277761
BaseRepresentation
bin100001011010111…
…1101000100101000
32220011012001112022
41002311331010220
54244042040130
6303140204012
736535040330
oct10265750450
92804161468
101121440040
11526029556
12273699608
1314b4496b6
14a8d200c0
15686bd7e5
hex42d7d128

1121440040 has 128 divisors (see below), whose sum is σ = 3050438400. Its totient is φ = 362465280.

The previous prime is 1121440039. The next prime is 1121440057. The reversal of 1121440040 is 400441211.

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, 1473260 + ... + 1474020.

It is an arithmetic number, because the mean of its divisors is an integer number (23831550).

Almost surely, 21121440040 is an apocalyptic number.

1121440040 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 1121440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525219200).

1121440040 is an abundant number, since it is smaller than the sum of its proper divisors (1928998360).

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

1121440040 is a wasteful number, since it uses less digits than its factorization.

1121440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1121440040 is about 33487.9088627522. The cubic root of 1121440040 is about 1038.9437130372.

Adding to 1121440040 its reverse (400441211), we get a palindrome (1521881251).

The spelling of 1121440040 in words is "one billion, one hundred twenty-one million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 277 280 380 532 554 665 760 761 1064 1108 1330 1385 1522 1939 2216 2660 2770 3044 3805 3878 5263 5320 5327 5540 6088 7610 7756 9695 10526 10654 11080 14459 15220 15512 19390 21052 21308 26315 26635 28918 30440 36841 38780 42104 42616 52630 53270 57836 72295 73682 77560 101213 105260 106540 115672 144590 147364 184205 202426 210520 210797 213080 289180 294728 368410 404852 421594 506065 578360 736820 809704 843188 1012130 1053985 1473640 1475579 1686376 2024260 2107970 2951158 4005143 4048520 4215940 5902316 7377895 8010286 8431880 11804632 14755790 16020572 20025715 28036001 29511580 32041144 40051430 56072002 59023160 80102860 112144004 140180005 160205720 224288008 280360010 560720020 1121440040