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3136114542 = 23112171032467
BaseRepresentation
bin1011101011101101…
…0100111101101110
322002120011010101110
42322323110331232
522410321131132
61235105452450
7140500351041
oct27273247556
98076133343
103136114542
11136a289300
12736341126
133ac9611a2
1421a718c58
151354ce1cc
hexbaed4f6e

3136114542 has 96 divisors (see below), whose sum is σ = 7373673216. Its totient is φ = 885392640.

The previous prime is 3136114523. The next prime is 3136114567. The reversal of 3136114542 is 2454116313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269993 + ... + 1272459.

It is an arithmetic number, because the mean of its divisors is an integer number (76809096).

Almost surely, 23136114542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3136114542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686836608).

3136114542 is an abundant number, since it is smaller than the sum of its proper divisors (4237558674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3136114542 is a wasteful number, since it uses less digits than its factorization.

3136114542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 3136114542 is about 56001.0226870903. The cubic root of 3136114542 is about 1463.7401045488.

The spelling of 3136114542 in words is "three billion, one hundred thirty-six million, one hundred fourteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 103 121 187 206 242 309 363 374 561 618 726 1122 1133 1751 2057 2266 2467 3399 3502 4114 4934 5253 6171 6798 7401 10506 12342 12463 14802 19261 24926 27137 37389 38522 41939 54274 57783 74778 81411 83878 115566 125817 162822 211871 251634 254101 298507 423742 461329 508202 597014 635613 762303 895521 922658 1271226 1383987 1524606 1791042 2767974 2795111 4319717 5074619 5590222 8385333 8639434 10149238 12959151 15223857 16770666 25918302 30447714 30746221 47516887 61492442 92238663 95033774 142550661 184477326 285101322 522685757 1045371514 1568057271 3136114542