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361114357149 = 32713440921071
BaseRepresentation
bin1010100000101000001…
…01111100110110011101
31021112002200101001010100
411100110011330312131
521404030233412044
6433521005531313
735042515250610
oct5202405746635
91245080331110
10361114357149
1112a169705387
1259ba0573b39
132808c3c5610
14136999d0177
1595d7b81869
hex541417cd9d

361114357149 has 24 divisors (see below), whose sum is σ = 641981080832. Its totient is φ = 190477902240.

The previous prime is 361114357141. The next prime is 361114357151. The reversal of 361114357149 is 941753411163.

361114357149 is a `hidden beast` number, since 3 + 61 + 1 + 14 + 3 + 571 + 4 + 9 = 666.

It is not a de Polignac number, because 361114357149 - 23 = 361114357141 is a prime.

It is a super-3 number, since 3×3611143571493 (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361114357141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 220459717 + ... + 220461354.

Almost surely, 2361114357149 is an apocalyptic number.

361114357149 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

361114357149 is a deficient number, since it is larger than the sum of its proper divisors (280866723683).

361114357149 is a wasteful number, since it uses less digits than its factorization.

361114357149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440921097 (or 440921094 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 361114357149 in words is "three hundred sixty-one billion, one hundred fourteen million, three hundred fifty-seven thousand, one hundred forty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 440921071 1322763213 3086447497 3968289639 5731973923 9259342491 17195921769 27778027473 40123817461 51587765307 120371452383 361114357149