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18141341540 = 2257223839697
BaseRepresentation
bin10000111001010011…
…101110011101100100
31201211022010122011112
4100321103232131210
5244123140412130
612200051524152
71211362600400
oct207123563544
951738118145
1018141341540
11776a350453
1236235b9658
1319315ba42a
14c41500100
157129c7495
hex4394ee764

18141341540 has 144 divisors (see below), whose sum is σ = 46805496192. Its totient is φ = 5877172224.

The previous prime is 18141341521. The next prime is 18141341549. The reversal of 18141341540 is 4514314181.

It is a junction number, because it is equal to n+sod(n) for n = 18141341497 and 18141341506.

It is not an unprimeable number, because it can be changed into a prime (18141341549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1865972 + ... + 1875668.

It is an arithmetic number, because the mean of its divisors is an integer number (325038168).

Almost surely, 218141341540 is an apocalyptic number.

18141341540 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 18141341540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23402748096).

18141341540 is an abundant number, since it is smaller than the sum of its proper divisors (28664154652).

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

18141341540 is a wasteful number, since it uses less digits than its factorization.

18141341540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 18141341540 in words is "eighteen billion, one hundred forty-one million, three hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 83 92 98 115 140 161 166 196 230 245 322 332 415 460 490 581 644 805 830 980 1127 1162 1610 1660 1909 2254 2324 2905 3220 3818 4067 4508 5635 5810 7636 8134 9545 9697 11270 11620 13363 16268 19090 19394 20335 22540 26726 38180 38788 40670 48485 53452 66815 67879 81340 93541 96970 133630 135758 187082 193940 223031 267260 271516 339395 374164 446062 467705 475153 678790 804851 892124 935410 950306 1115155 1357580 1561217 1609702 1870820 1900612 2230310 2375765 3122434 3219404 4024255 4460620 4751530 5633957 6244868 7806085 8048510 9503060 10928519 11267914 15612170 16097020 18511573 21857038 22535828 28169785 31224340 37023146 39437699 43714076 54642595 56339570 74046292 78875398 92557865 109285190 112679140 129581011 157750796 185115730 197188495 218570380 259162022 370231460 394376990 518324044 647905055 788753980 907067077 1295810110 1814134154 2591620220 3628268308 4535335385 9070670770 18141341540