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41383630526121 = 34132549832
BaseRepresentation
bin10010110100011011000001…
…00110001101011010101001
312102112020101100212101010000
421122031200212031122221
520411012133403313441
6224003213304213213
711500603641341112
oct1132154046153251
9172466340771100
1041383630526121
1112205776621354
12478451216a209
131a125c8a04400
14a30d9aa57209
154bb73ac022b6
hex25a36098d6a9

41383630526121 has 45 divisors (see below), whose sum is σ = 66942391500039. Its totient is φ = 25466386377744.

The previous prime is 41383630526047. The next prime is 41383630526179. The reversal of 41383630526121 is 12162503638314.

The square root of 41383630526121 is 6433011.

It is a perfect power (a square), and thus also a powerful number.

41383630526121 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 3 + 630 + 5 + 2 + 6 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6121838835225 + 35261791690896 = 2474235^2 + 5938164^2 .

It is not a de Polignac number, because 41383630526121 - 215 = 41383630493353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41383630126121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 752634796 + ... + 752689778.

Almost surely, 241383630526121 is an apocalyptic number.

41383630526121 is the 6433011-st square number.

41383630526121 is the 3216506-th centered octagonal number.

It is an amenable number.

41383630526121 is a deficient number, since it is larger than the sum of its proper divisors (25558760973918).

41383630526121 is an frugal number, since it uses more digits than its factorization.

41383630526121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110004 (or 54999 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 41383630526121 in words is "forty-one trillion, three hundred eighty-three billion, six hundred thirty million, five hundred twenty-six thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 13689 54983 164949 494847 714779 1484541 2144337 4453623 6433011 9292127 19299033 27876381 57897099 83629143 250887429 752662287 3023130289 9069390867 27208172601 39300693757 81624517803 117902081271 244873553409 353706243813 510909018841 1061118731439 1532727056523 3183356194317 4598181169569 13794543508707 41383630526121