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5411111400 = 2332524369911
BaseRepresentation
bin1010000101000011…
…10000000111101000
3111222002221221101100
411002201300013220
542040221031100
62252534521400
7251043454662
oct50241600750
914862857340
105411111400
1123274820a2
121070206260
13683090886
14394919532
1521a0b2400
hex1428701e8

5411111400 has 144 divisors (see below), whose sum is σ = 18595193760. Its totient is φ = 1409385600.

The previous prime is 5411111371. The next prime is 5411111413. The reversal of 5411111400 is 41111145.

5411111400 is a `hidden beast` number, since 541 + 11 + 114 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42445 + ... + 112355.

It is an arithmetic number, because the mean of its divisors is an integer number (129133290).

Almost surely, 25411111400 is an apocalyptic number.

5411111400 is a gapful number since it is divisible by the number (50) 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 5411111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9297596880).

5411111400 is an abundant number, since it is smaller than the sum of its proper divisors (13184082360).

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

5411111400 is a wasteful number, since it uses less digits than its factorization.

5411111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69976 (or 69964 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 5411111400 is about 73560.2569326671. The cubic root of 5411111400 is about 1755.6131492853.

Adding to 5411111400 its reverse (41111145), we get a palindrome (5452222545).

The spelling of 5411111400 in words is "five billion, four hundred eleven million, one hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 43 45 50 60 72 75 86 90 100 120 129 150 172 180 200 215 225 258 300 344 360 387 430 450 516 600 645 774 860 900 1032 1075 1290 1548 1720 1800 1935 2150 2580 3096 3225 3870 4300 5160 6450 7740 8600 9675 12900 15480 19350 25800 38700 69911 77400 139822 209733 279644 349555 419466 559288 629199 699110 838932 1048665 1258398 1398220 1677864 1747775 2097330 2516796 2796440 3006173 3145995 3495550 4194660 5033592 5243325 6012346 6291990 6991100 8389320 9018519 10486650 12024692 12583980 13982200 15030865 15729975 18037038 20973300 24049384 25167960 27055557 30061730 31459950 36074076 41946600 45092595 54111114 60123460 62919900 72148152 75154325 90185190 108222228 120246920 125839800 135277785 150308650 180370380 216444456 225462975 270555570 300617300 360740760 450925950 541111140 601234600 676388925 901851900 1082222280 1352777850 1803703800 2705555700 5411111400