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253231662141 = 3223137139227283
BaseRepresentation
bin1110101111010111001…
…0001000010000111101
3220012122011001022011200
43223311302020100331
513122104301142031
6312155533210113
724203213420163
oct3536562102075
9805564038150
10253231662141
1198438742907
12410b2930939
131ab58765103
14c383abd233
1568c18bd8e6
hex3af5c8843d

253231662141 has 96 divisors (see below), whose sum is σ = 390314695680. Its totient is φ = 157888127232.

The previous prime is 253231662121. The next prime is 253231662179. The reversal of 253231662141 is 141266132352.

253231662141 is a `hidden beast` number, since 2 + 5 + 3 + 23 + 1 + 6 + 621 + 4 + 1 = 666.

It is not a de Polignac number, because 253231662141 - 214 = 253231645757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253231662096 and 253231662105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253231662121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894811386 + ... + 894811668.

It is an arithmetic number, because the mean of its divisors is an integer number (4065778080).

Almost surely, 2253231662141 is an apocalyptic number.

It is an amenable number.

253231662141 is a deficient number, since it is larger than the sum of its proper divisors (137083033539).

253231662141 is a wasteful number, since it uses less digits than its factorization.

253231662141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 812 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 253231662141 its reverse (141266132352), we get a palindrome (394497794493).

The spelling of 253231662141 in words is "two hundred fifty-three billion, two hundred thirty-one million, six hundred sixty-two thousand, one hundred forty-one".

Divisors: 1 3 9 23 69 137 139 207 227 283 411 417 681 849 1233 1251 2043 2547 3151 3197 5221 6509 9453 9591 15663 19043 19527 28359 28773 31099 31553 38771 39337 46989 57129 58581 64241 93297 94659 116313 118011 171387 192723 279891 283977 348939 354033 437989 578169 715277 725719 891733 904751 1313967 1477543 2145831 2177157 2675199 2714253 3941901 4322761 4432629 5389169 6437493 6531471 8025597 8142759 8801017 8929499 12968283 13297887 16167507 26403051 26788497 38904849 48502521 79209153 80365491 99423503 123950887 202423391 205378477 298270509 371852661 607270173 616135431 894811527 1115557983 1223341363 1821810519 1848406293 3670024089 11010072267 28136851349 84410554047 253231662141