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138303302840 = 23523435365963
BaseRepresentation
bin1000000011001110000…
…1001110110010111000
3111012222121001201210122
42000303201032302320
54231221121142330
6143311411432412
712664166451233
oct2006341166270
9435877051718
10138303302840
115372167748a
12229795b5708
1310071200b91
1469a016641a
1538e6cc15e5
hex203384ecb8

138303302840 has 128 divisors (see below), whose sum is σ = 338537802240. Its totient is φ = 50709474816.

The previous prime is 138303302701. The next prime is 138303302873. The reversal of 138303302840 is 48203303831.

It is a self number, because there is not a number n which added to its sum of digits gives 138303302840.

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, 2063699 + ... + 2129661.

It is an arithmetic number, because the mean of its divisors is an integer number (2644826580).

Almost surely, 2138303302840 is an apocalyptic number.

138303302840 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 138303302840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169268901120).

138303302840 is an abundant number, since it is smaller than the sum of its proper divisors (200234499400).

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

138303302840 is a wasteful number, since it uses less digits than its factorization.

138303302840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66093 (or 66089 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

Subtracting from 138303302840 its reverse (48203303831), we obtain a palindrome (90099999009).

The spelling of 138303302840 in words is "one hundred thirty-eight billion, three hundred three million, three hundred two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 53 86 92 106 115 172 184 212 215 230 265 344 424 430 460 530 860 920 989 1060 1219 1720 1978 2120 2279 2438 3956 4558 4876 4945 6095 7912 9116 9752 9890 11395 12190 18232 19780 22790 24380 39560 45580 48760 52417 65963 91160 104834 131926 209668 262085 263852 329815 419336 524170 527704 659630 1048340 1319260 1517149 2096680 2638520 2836409 3034298 3496039 5672818 6068596 6992078 7585745 11345636 12137192 13984156 14182045 15171490 17480195 22691272 27968312 28364090 30342980 34960390 56728180 60685960 65237407 69920780 80408897 113456360 130474814 139841560 150329677 160817794 260949628 300659354 321635588 326187035 402044485 521899256 601318708 643271176 652374070 751648385 804088970 1202637416 1304748140 1503296770 1608177940 2609496280 3006593540 3216355880 3457582571 6013187080 6915165142 13830330284 17287912855 27660660568 34575825710 69151651420 138303302840