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138333717437430 = 235416116763109987
BaseRepresentation
bin11111011101000001010100…
…000101101001101111110110
3200010210120111121122000020010
4133131001110011221233312
5121112424423130444210
61210113344340521050
741065165322143254
oct3735012405515766
9603716447560203
10138333717437430
1140094000160529
12136220020b0186
135c25a7658a848
14262355d9c75d4
1510ed59dd54920
hex7dd054169bf6

138333717437430 has 128 divisors (see below), whose sum is σ = 345697654934016. Its totient is φ = 35396838374400.

The previous prime is 138333717437387. The next prime is 138333717437453. The reversal of 138333717437430 is 34734717333831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1257672897 + ... + 1257782883.

It is an arithmetic number, because the mean of its divisors is an integer number (2700762929172).

Almost surely, 2138333717437430 is an apocalyptic number.

138333717437430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138333717437430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172848827467008).

138333717437430 is an abundant number, since it is smaller than the sum of its proper divisors (207363937496586).

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

138333717437430 is a wasteful number, since it uses less digits than its factorization.

138333717437430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126862.

The product of its (nonzero) digits is 32006016, while the sum is 57.

The spelling of 138333717437430 in words is "one hundred thirty-eight trillion, three hundred thirty-three billion, seven hundred seventeen million, four hundred thirty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 61 82 122 123 183 205 246 305 366 410 610 615 915 1230 1830 2501 5002 7503 12505 15006 16763 25010 33526 37515 50289 75030 83815 100578 109987 167630 219974 251445 329961 502890 549935 659922 687283 1022543 1099870 1374566 1649805 2045086 2061849 3067629 3299610 3436415 4123698 4509467 5112715 6135258 6709207 6872830 9018934 10225430 10309245 13418414 13528401 15338145 20127621 20618490 22547335 27056802 30676290 33546035 40255242 41924263 45094670 67092070 67642005 83848526 100638105 125772789 135284010 201276210 209621315 251545578 275077487 419242630 550154974 628863945 825232461 1257727890 1375387435 1650464922 1843712081 2750774870 3687424162 4126162305 5531136243 8252324610 9218560405 11062272486 18437120810 27655681215 55311362430 75592195321 112466436941 151184390642 224932873882 226776585963 337399310823 377960976605 453553171926 562332184705 674798621646 755921953210 1124664369410 1133882929815 1686996554115 2267765859630 3373993108230 4611123914581 9222247829162 13833371743743 23055619572905 27666743487486 46111239145810 69166858718715 138333717437430