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1238190139725 = 352721140917487
BaseRepresentation
bin10010000001001001111…
…000100010100101001101
311101100222121012012220220
4102001021320202211031
5130241303133432400
62344452223501553
7155312335351200
oct22011170424515
94340877165826
101238190139725
11438128066340
1217bb774578b9
138c9b7707116
1443d005b3937
152231c86c7a0
hex12049e2294d

1238190139725 has 144 divisors (see below), whose sum is σ = 2598838235136. Its totient is φ = 514378032000.

The previous prime is 1238190139721. The next prime is 1238190139757. The reversal of 1238190139725 is 5279310918321.

It is a happy number.

It is not a de Polignac number, because 1238190139725 - 22 = 1238190139721 is a prime.

It is a super-2 number, since 2×12381901397252 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238190139721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165374932 + ... + 165382418.

It is an arithmetic number, because the mean of its divisors is an integer number (18047487744).

Almost surely, 21238190139725 is an apocalyptic number.

1238190139725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1238190139725 is an abundant number, since it is smaller than the sum of its proper divisors (1360648095411).

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

1238190139725 is a wasteful number, since it uses less digits than its factorization.

1238190139725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 1238190139725 in words is "one trillion, two hundred thirty-eight billion, one hundred ninety million, one hundred thirty-nine thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 385 525 539 735 825 1155 1225 1617 1925 2695 3675 4091 5775 7487 8085 12273 13475 20455 22461 28637 37435 40425 45001 52409 61365 82357 85911 102275 112305 135003 143185 157227 187175 200459 225005 247071 262045 306825 315007 366863 411785 429555 561525 576499 601377 675015 715925 786135 945021 1002295 1100589 1125025 1235355 1310225 1575035 1729497 1834315 2058925 2147775 2205049 2882495 3006885 3375075 3930675 4035493 4725105 5011475 5502945 6176775 6615147 7875175 8647485 9171575 11025245 12106479 14412475 15034425 20177465 23625525 27514725 30629317 33075735 43237425 55126225 60532395 91887951 100887325 153146585 165378675 214405219 302661975 336922487 459439755 643215657 765732925 1010767461 1072026095 1500836533 1684612435 2297198775 2358457409 3216078285 4502509599 5053837305 5360130475 7075372227 7504182665 8423062175 11792287045 16080391425 16509201863 22512547995 25269186525 35376861135 37520913325 49527605589 58961435225 82546009315 112562739975 176884305675 247638027945 412730046575 1238190139725