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138838240758180 = 223511327175563161
BaseRepresentation
bin11111100100010111001100…
…000001011000100110100100
3200012120210202201021020000210
4133210113030001120212210
5121144211204113230210
61211141223550335420
741146506014462655
oct3744271401304644
9605523681236023
10138838240758180
1140268a70447837
12136a3945aba570
135c6150b888b72
14263db4186752c
15110b77bb30e20
hex7e45cc0589a4

138838240758180 has 96 divisors (see below), whose sum is σ = 393634504585728. Its totient is φ = 36560479334400.

The previous prime is 138838240758179. The next prime is 138838240758187. The reversal of 138838240758180 is 81857042838831.

It is not an unprimeable number, because it can be changed into a prime (138838240758187) 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, 35944201 + ... + 39618960.

It is an arithmetic number, because the mean of its divisors is an integer number (4100359422768).

Almost surely, 2138838240758180 is an apocalyptic number.

138838240758180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138838240758180 is an abundant number, since it is smaller than the sum of its proper divisors (254796263827548).

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

138838240758180 is a wasteful number, since it uses less digits than its factorization.

138838240758180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75563557 (or 75563555 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 66.

The spelling of 138838240758180 in words is "one hundred thirty-eight trillion, eight hundred thirty-eight billion, two hundred forty million, seven hundred fifty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 271 339 452 542 565 678 813 1084 1130 1355 1356 1626 1695 2260 2710 3252 3390 4065 5420 6780 8130 16260 30623 61246 91869 122492 153115 183738 306230 367476 459345 612460 918690 1837380 75563161 151126322 226689483 302252644 377815805 453378966 755631610 906757932 1133447415 1511263220 2266894830 4533789660 8538637193 17077274386 20477616631 25615911579 34154548772 40955233262 42693185965 51231823158 61432849893 81910466524 85386371930 102388083155 102463646316 122865699786 128079557895 170772743860 204776166310 245731399572 256159115790 307164249465 409552332620 512318231580 614328498930 1228656997860 2313970679303 4627941358606 6941912037909 9255882717212 11569853396515 13883824075818 23139706793030 27767648151636 34709560189545 46279413586060 69419120379090 138838240758180