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231446455040 = 2852233532297
BaseRepresentation
bin1101011110001101001…
…0001010001100000000
3211010101220100010011102
43113203102022030000
512243000243030130
6254154112433532
722502313256643
oct3274322121400
9733356303142
10231446455040
118a179543319
1238a32b488a8
1318a96279718
14b2b8691a5a
15604906c645
hex35e348a300

231446455040 has 144 divisors (see below), whose sum is σ = 558693289728. Its totient is φ = 91862335488.

The previous prime is 231446455007. The next prime is 231446455043. The reversal of 231446455040 is 40554644132.

It is a junction number, because it is equal to n+sod(n) for n = 231446454985 and 231446455003.

It is not an unprimeable number, because it can be changed into a prime (231446455043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100759172 + ... + 100761468.

It is an arithmetic number, because the mean of its divisors is an integer number (3879814512).

Almost surely, 2231446455040 is an apocalyptic number.

231446455040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231446455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279346644864).

231446455040 is an abundant number, since it is smaller than the sum of its proper divisors (327246834688).

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

231446455040 is a wasteful number, since it uses less digits than its factorization.

231446455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 231446455040 in words is "two hundred thirty-one billion, four hundred forty-six million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 256 320 353 446 640 706 892 1115 1280 1412 1765 1784 2230 2297 2824 3530 3568 4460 4594 5648 7060 7136 8920 9188 11296 11485 14120 14272 17840 18376 22592 22970 28240 28544 35680 36752 45184 45940 56480 57088 71360 73504 78719 90368 91880 112960 142720 147008 157438 183760 225920 285440 294016 314876 367520 393595 451840 512231 588032 629752 735040 787190 810841 1024462 1259504 1470080 1574380 1621682 2048924 2519008 2561155 2940160 3148760 3243364 4054205 4097848 5038016 5122310 6297520 6486728 8108410 8195696 10076032 10244620 12595040 12973456 16216820 16391392 20152064 20489240 25190080 25946912 32433640 32782784 40978480 50380160 51893824 64867280 65565568 81956960 100760320 103787648 129734560 131131136 163913920 180817543 207575296 259469120 327827840 361635086 518938240 655655680 723270172 904087715 1037876480 1446540344 1808175430 2893080688 3616350860 5786161376 7232701720 11572322752 14465403440 23144645504 28930806880 46289291008 57861613760 115723227520 231446455040