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253871400141 = 321719375234513
BaseRepresentation
bin1110110001101111101…
…0100010010011001101
3220021021201211100201200
43230123322202103031
513124412034301031
6312343225100113
724225112203432
oct3543372422315
9807251740650
10253871400141
11987368724a7
1241251027639
131ac2b1651c8
14c404a4bb89
15690cb3a8e6
hex3b1bea24cd

253871400141 has 96 divisors (see below), whose sum is σ = 420651354240. Its totient is φ = 146516262912.

The previous prime is 253871400137. The next prime is 253871400169. The reversal of 253871400141 is 141004178352.

253871400141 is a `hidden beast` number, since 2 + 538 + 71 + 40 + 0 + 14 + 1 = 666.

It is not a de Polignac number, because 253871400141 - 22 = 253871400137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 253871400096 and 253871400105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253871400131) 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, 56251101 + ... + 56255613.

It is an arithmetic number, because the mean of its divisors is an integer number (4381784940).

Almost surely, 2253871400141 is an apocalyptic number.

It is an amenable number.

253871400141 is a deficient number, since it is larger than the sum of its proper divisors (166779954099).

253871400141 is a wasteful number, since it uses less digits than its factorization.

253871400141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 253871400141 its reverse (141004178352), we get a palindrome (394875578493).

The spelling of 253871400141 in words is "two hundred fifty-three billion, eight hundred seventy-one million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 9 17 19 37 51 57 111 153 171 323 333 523 629 703 969 1569 1887 2109 2907 4513 4707 5661 6327 8891 9937 11951 13539 19351 26673 29811 35853 40617 58053 76721 80019 85747 89433 107559 166981 168929 174159 230163 257241 328967 367669 500943 506787 690489 771723 986901 1103007 1457699 1502829 1520361 2360299 2838677 2960703 3172639 3309021 4373097 6250373 7080897 8516031 9517917 13119291 18751119 21242691 25548093 28553751 40125083 44845681 53934863 56253357 87331063 120375249 134537043 161804589 261993189 361125747 403611129 485413767 762376577 785979567 1484628071 1659290197 2287129731 4453884213 4977870591 6861389193 13361652639 14933611773 28207933349 84623800047 253871400141