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2243104141120 = 26597457158129
BaseRepresentation
bin100000101001000011011…
…011001110111101000000
321221102211210011210001121
4200221003123032331000
5243222334130003440
64434245014242024
7321026132416003
oct40510333167500
97842753153047
102243104141120
117953278a0207
1230288b056314
131336a6a8099b
147a7d14d353a
153d5356ee34a
hex20a436cef40

2243104141120 has 112 divisors (see below), whose sum is σ = 5408300273040. Its totient is φ = 886043049984.

The previous prime is 2243104141087. The next prime is 2243104141121. The reversal of 2243104141120 is 211414013422.

It can be written as a sum of positive squares in 8 ways, for example, as 633830976 + 2242470310144 = 25176^2 + 1497488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243104141121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14106216 + ... + 14264344.

It is an arithmetic number, because the mean of its divisors is an integer number (48288395295).

Almost surely, 22243104141120 is an apocalyptic number.

2243104141120 is a gapful number since it is divisible by the number (20) 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 2243104141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704150136520).

2243104141120 is an abundant number, since it is smaller than the sum of its proper divisors (3165196131920).

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

2243104141120 is a wasteful number, since it uses less digits than its factorization.

2243104141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158700 (or 158690 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2243104141120 its reverse (211414013422), we get a palindrome (2454518154542).

The spelling of 2243104141120 in words is "two trillion, two hundred forty-three billion, one hundred four million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 457 485 776 914 970 1552 1828 1940 2285 3104 3656 3880 4570 6208 7312 7760 9140 14624 15520 18280 29248 31040 36560 44329 73120 88658 146240 158129 177316 221645 316258 354632 443290 632516 709264 790645 886580 1265032 1418528 1581290 1773160 2530064 2837056 3162580 3546320 5060128 6325160 7092640 10120256 12650320 14185280 15338513 25300640 30677026 50601280 61354052 72264953 76692565 122708104 144529906 153385130 245416208 289059812 306770260 361324765 490832416 578119624 613540520 722649530 981664832 1156239248 1227081040 1445299060 2312478496 2454162080 2890598120 4624956992 4908324160 5781196240 7009700441 11562392480 14019400882 23124784960 28038801764 35048502205 56077603528 70097004410 112155207056 140194008820 224310414112 280388017640 448620828224 560776035280 1121552070560 2243104141120