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238516630040 = 235133118478011
BaseRepresentation
bin1101111000100010110…
…0101111001000011000
3211210122122010012221202
43132020230233020120
512401440224130130
6301323435053332
723142443622023
oct3361054571030
9753578105852
10238516630040
1192177468457
123a2868a1248
1319651c82a20
14b7896781ba
15630eae9145
hex3788b2f218

238516630040 has 128 divisors (see below), whose sum is σ = 596985016320. Its totient is φ = 85170009600.

The previous prime is 238516630019. The next prime is 238516630043. The reversal of 238516630040 is 40036615832.

It is a junction number, because it is equal to n+sod(n) for n = 238516629976 and 238516630003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238516630043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29769635 + ... + 29777645.

It is an arithmetic number, because the mean of its divisors is an integer number (4663945440).

Almost surely, 2238516630040 is an apocalyptic number.

238516630040 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 238516630040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298492508160).

238516630040 is an abundant number, since it is smaller than the sum of its proper divisors (358468386280).

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

238516630040 is a wasteful number, since it uses less digits than its factorization.

238516630040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 238516630040 in words is "two hundred thirty-eight billion, five hundred sixteen million, six hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 1847 2015 3224 3694 4030 7388 8011 8060 9235 14776 16022 16120 18470 24011 32044 36940 40055 48022 57257 64088 73880 80110 96044 104143 114514 120055 160220 192088 208286 229028 240110 248341 286285 320440 416572 458056 480220 496682 520715 572570 744341 833144 960440 993364 1041430 1145140 1241705 1488682 1986728 2082860 2290280 2483410 2977364 3228433 3721705 4165720 4966820 5954728 6456866 7443410 9933640 12913732 14796317 14886820 16142165 25827464 29592634 29773640 32284330 59185268 64568660 73981585 118370536 129137320 147963170 192352121 295926340 384704242 458685827 591852680 769408484 917371654 961760605 1538816968 1834743308 1923521210 2293429135 3669486616 3847042420 4586858270 5962915751 7694084840 9173716540 11925831502 18347433080 23851663004 29814578755 47703326008 59629157510 119258315020 238516630040