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138441856725 = 31052191491
BaseRepresentation
bin1000000011101111000…
…1110001011011010101
3111020100020210000000000
42000323301301123111
54232012103403400
6143333241241513
713000501236354
oct2007361613325
9436306700000
10138441856725
1153792901027
12229b7a93299
1310093b22c23
1469b471199b
15390403e600
hex203bc716d5

138441856725 has 132 divisors (see below), whose sum is σ = 259375756032. Its totient is φ = 73299492000.

The previous prime is 138441856697. The next prime is 138441856771. The reversal of 138441856725 is 527658144831.

It is a happy number.

138441856725 is a `hidden beast` number, since 1 + 3 + 8 + 44 + 18 + 567 + 25 = 666.

138441856725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138441856725 - 26 = 138441856661 is a prime.

It is a super-2 number, since 2×1384418567252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 281958730 + ... + 281959220.

Almost surely, 2138441856725 is an apocalyptic number.

138441856725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138441856725 is a deficient number, since it is larger than the sum of its proper divisors (120933899307).

138441856725 is an frugal number, since it uses more digits than its factorization.

138441856725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 690 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 138441856725 in words is "one hundred thirty-eight billion, four hundred forty-one million, eight hundred fifty-six thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 191 225 243 405 491 573 675 729 955 1215 1473 1719 2025 2187 2455 2865 3645 4419 4775 5157 6075 6561 7365 8595 10935 12275 13257 14325 15471 18225 19683 22095 25785 32805 36825 39771 42975 46413 54675 59049 66285 77355 93781 98415 110475 119313 128925 139239 164025 198855 232065 281343 295245 331425 357939 386775 417717 468905 492075 596565 696195 844029 994275 1073817 1160325 1253151 1406715 1476225 1789695 2088585 2344525 2532087 2982825 3221451 3480975 3759453 4220145 5369085 6265755 7033575 7596261 8948475 9664353 10442925 11278359 12660435 16107255 18797265 21100725 22788783 26845425 28993059 31328775 37981305 48321765 56391795 63302175 68366349 80536275 93986325 113943915 144965295 189906525 205099047 241608825 281958975 341831745 569719575 615297141 724826475 1025495235 1709158725 1845891423 3076485705 5127476175 5537674269 9229457115 15382428525 27688371345 46147285575 138441856725