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141110241140 = 225112175364717
BaseRepresentation
bin1000001101101011010…
…0110110011101110100
3111111020012210222021102
42003122310312131310
54302443210204030
6144454122105232
713123562154641
oct2033264663564
9444205728242
10141110241140
1154932063800
122342164b218
13103ca8ba20b
146b88c74dc8
153a0d42bc45
hex20dad36774

141110241140 has 144 divisors (see below), whose sum is σ = 351392335056. Its totient is φ = 47382466560.

The previous prime is 141110241127. The next prime is 141110241197. The reversal of 141110241140 is 41142011141.

It can be written as a sum of positive squares in 8 ways, for example, as 608214244 + 140502026896 = 24662^2 + 374836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2148062 + ... + 2212778.

It is an arithmetic number, because the mean of its divisors is an integer number (2440224549).

Almost surely, 2141110241140 is an apocalyptic number.

141110241140 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 141110241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175696167528).

141110241140 is an abundant number, since it is smaller than the sum of its proper divisors (210282093916).

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

141110241140 is a wasteful number, since it uses less digits than its factorization.

141110241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64818 (or 64805 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 141110241140 its reverse (41142011141), we get a palindrome (182252252281).

The spelling of 141110241140 in words is "one hundred forty-one billion, one hundred ten million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 121 170 187 212 220 242 265 340 374 484 530 583 605 748 901 935 1060 1166 1210 1802 1870 2057 2332 2420 2915 3604 3740 4114 4505 5830 6413 8228 9010 9911 10285 11660 12826 18020 19822 20570 25652 32065 39644 41140 49555 64130 64717 99110 109021 128260 129434 198220 218042 258868 323585 436084 545105 647170 711887 1090210 1100189 1294340 1423774 2180420 2200378 2847548 3430001 3559435 4400756 5500945 6860002 7118870 7830757 11001890 12102079 13720004 14237740 15661514 17150005 22003780 24204158 31323028 34300010 37730011 39153785 48408316 58310017 60510395 68600020 75460022 78307570 116620034 121020790 133122869 150920044 156615140 188650055 233240068 242041580 266245738 291550085 377300110 415030121 532491476 583100170 641410187 665614345 754600220 830060242 1166200340 1282820374 1331228690 1660120484 2075150605 2565640748 2662457380 3207050935 4150301210 6414101870 7055512057 8300602420 12828203740 14111024114 28222048228 35277560285 70555120570 141110241140