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231868114080 = 25351297372443
BaseRepresentation
bin1101011111110001101…
…0101010010010100000
3211011111021202121121220
43113330122222102200
512244331214122310
6254304014215040
722515623310411
oct3277432522240
9734437677556
10231868114080
118a375561a69
1238b301b4480
1318b32732605
14b318693808
1560710ad670
hex35fc6aa4a0

231868114080 has 96 divisors (see below), whose sum is σ = 730949655744. Its totient is φ = 61783658496.

The previous prime is 231868114067. The next prime is 231868114103. The reversal of 231868114080 is 80411868132.

231868114080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 436339 + ... + 808781.

It is an arithmetic number, because the mean of its divisors is an integer number (7614058914).

Almost surely, 2231868114080 is an apocalyptic number.

231868114080 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 231868114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365474827872).

231868114080 is an abundant number, since it is smaller than the sum of its proper divisors (499081541664).

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

231868114080 is a wasteful number, since it uses less digits than its factorization.

231868114080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373758 (or 373750 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 231868114080 in words is "two hundred thirty-one billion, eight hundred sixty-eight million, one hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1297 2594 3891 5188 6485 7782 10376 12970 15564 19455 20752 25940 31128 38910 41504 51880 62256 77820 103760 124512 155640 207520 311280 372443 622560 744886 1117329 1489772 1862215 2234658 2979544 3724430 4469316 5586645 5959088 7448860 8938632 11173290 11918176 14897720 17877264 22346580 29795440 35754528 44693160 59590880 89386320 178772640 483058571 966117142 1449175713 1932234284 2415292855 2898351426 3864468568 4830585710 5796702852 7245878565 7728937136 9661171420 11593405704 14491757130 15457874272 19322342840 23186811408 28983514260 38644685680 46373622816 57967028520 77289371360 115934057040 231868114080