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40143362346 = 2352910327653
BaseRepresentation
bin100101011000101110…
…110001100100101010
310211121122211002200000
4211120232301210222
51124203200043341
630235215323430
72620534643553
oct453056614452
9124548732600
1040143362346
111602a97731a
127943b20576
133a29999159
141d2b64932a
15109e3a48b6
hex958bb192a

40143362346 has 96 divisors (see below), whose sum is σ = 94218284160. Its totient is φ = 12793806144.

The previous prime is 40143362321. The next prime is 40143362351. The reversal of 40143362346 is 64326334104.

It is a super-2 number, since 2×401433623462 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40143362346.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437856 + ... + 1465508.

It is an arithmetic number, because the mean of its divisors is an integer number (981440460).

Almost surely, 240143362346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40143362346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47109142080).

40143362346 is an abundant number, since it is smaller than the sum of its proper divisors (54074921814).

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

40143362346 is a wasteful number, since it uses less digits than its factorization.

40143362346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27802 (or 27790 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 40143362346 in words is "forty billion, one hundred forty-three million, three hundred sixty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 103 162 174 206 243 261 309 486 522 618 783 927 1566 1854 2349 2781 2987 4698 5562 5974 7047 8343 8961 14094 16686 17922 25029 26883 27653 50058 53766 55306 80649 82959 161298 165918 241947 248877 483894 497754 725841 746631 801937 1451682 1493262 1603874 2239893 2405811 2848259 4479786 4811622 5696518 6719679 7217433 8544777 13439358 14434866 17089554 21652299 25634331 43304598 51268662 64956897 76902993 82599511 129913794 153805986 165199022 194870691 230708979 247798533 389741382 461417958 495597066 692126937 743395599 1384253874 1486791198 2230186797 4460373594 6690560391 13381120782 20071681173 40143362346