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1140444120 = 2335312811091
BaseRepresentation
bin100001111111001…
…1100101111011000
32221110221120020010
41003332130233120
54313423202440
6305055401520
740155420654
oct10376345730
92843846203
101140444120
11535829602
12279b232a0
1315237170a
14ab669a64
156a1c4580
hex43f9cbd8

1140444120 has 128 divisors (see below), whose sum is σ = 3547514880. Its totient is φ = 292992000.

The previous prime is 1140444113. The next prime is 1140444181. The reversal of 1140444120 is 214440411.

It is a super-2 number, since 2×11404441202 = 2601225581685148800, which contains 22 as substring.

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, 1044775 + ... + 1045865.

It is an arithmetic number, because the mean of its divisors is an integer number (27714960).

Almost surely, 21140444120 is an apocalyptic number.

1140444120 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 1140444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773757440).

1140444120 is an abundant number, since it is smaller than the sum of its proper divisors (2407070760).

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

1140444120 is a wasteful number, since it uses less digits than its factorization.

1140444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1413 counting only the distinct ones).

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

The square root of 1140444120 is about 33770.4622414322. The cubic root of 1140444120 is about 1044.7795663035.

Adding to 1140444120 its reverse (214440411), we get a palindrome (1354884531).

The spelling of 1140444120 in words is "one billion, one hundred forty million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 281 310 372 465 562 620 744 843 930 1091 1124 1240 1405 1686 1860 2182 2248 2810 3273 3372 3720 4215 4364 5455 5620 6546 6744 8430 8711 8728 10910 11240 13092 16365 16860 17422 21820 26133 26184 32730 33720 33821 34844 43555 43640 52266 65460 67642 69688 87110 101463 104532 130665 130920 135284 169105 174220 202926 209064 261330 270568 306571 338210 348440 405852 507315 522660 613142 676420 811704 919713 1014630 1045320 1226284 1352840 1532855 1839426 2029260 2452568 3065710 3678852 4058520 4598565 6131420 7357704 9197130 9503701 12262840 18394260 19007402 28511103 36788520 38014804 47518505 57022206 76029608 95037010 114044412 142555515 190074020 228088824 285111030 380148040 570222060 1140444120