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214260165661641 = 311675631229140053
BaseRepresentation
bin110000101101111001010101…
…000100000101001111001001
31001002122001221100010222121220
4300231321111010011033021
5211040414304402133031
62035405432233352253
763062533433426421
oct6055712504051711
91032561840128556
10214260165661641
11622a7253846240
122004507bb68689
1392728543b28c8
143aca366a2b481
1519b85ea489596
hexc2de551053c9

214260165661641 has 64 divisors (see below), whose sum is σ = 317124563512320. Its totient is φ = 127584503735040.

The previous prime is 214260165661603. The next prime is 214260165661649. The reversal of 214260165661641 is 146166561062412.

It is not a de Polignac number, because 214260165661641 - 229 = 214259628790729 is a prime.

It is a super-3 number, since 3×2142601656616413 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214260165661649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529780571 + ... + 1529920623.

It is an arithmetic number, because the mean of its divisors is an integer number (4955071304880).

Almost surely, 2214260165661641 is an apocalyptic number.

It is an amenable number.

214260165661641 is a deficient number, since it is larger than the sum of its proper divisors (102864397850679).

214260165661641 is a wasteful number, since it uses less digits than its factorization.

214260165661641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141926.

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 214260165661641 in words is "two hundred fourteen trillion, two hundred sixty billion, one hundred sixty-five million, six hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 3 11 33 67 201 563 737 1229 1689 2211 3687 6193 13519 18579 37721 40557 82343 113163 140053 247029 414931 420159 691927 905773 1244793 1540583 2075781 2717319 4621749 7611197 9383551 22833591 28150653 46359109 78849839 103219061 139077327 172125137 236549517 309657183 509950199 516375411 867348229 1529850597 1893376507 2602044687 5282939213 5680129521 11532384179 15848817639 34597152537 58112331343 96906452131 126856225969 174336994029 290719356393 380568677907 1065970973441 3197912920323 6492732292777 19478196878331 71420055220547 214260165661641