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231340408832 = 215131393907
BaseRepresentation
bin1101011101110011110…
…1101000000000000000
3211010010111210102010002
43113130331220000000
512242241121040312
6254135403455132
722466555013221
oct3273475500000
9733114712102
10231340408832
118a1246a2225
1238a035274a8
1318a7a2c9ba0
14b2a8569248
15603eac14c2
hex35dcf68000

231340408832 has 128 divisors (see below), whose sum is σ = 501977128800. Its totient is φ = 105977217024.

The previous prime is 231340408799. The next prime is 231340408913. The reversal of 231340408832 is 238804043132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59209823 + ... + 59213729.

Almost surely, 2231340408832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231340408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250988564400).

231340408832 is an abundant number, since it is smaller than the sum of its proper divisors (270636719968).

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

231340408832 is an equidigital number, since it uses as much as digits as its factorization.

231340408832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 231340408832 in words is "two hundred thirty-one billion, three hundred forty million, four hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 256 278 416 512 556 832 1024 1112 1664 1807 2048 2224 3328 3614 3907 4096 4448 6656 7228 7814 8192 8896 13312 14456 15628 16384 17792 26624 28912 31256 32768 35584 50791 53248 57824 62512 71168 101582 106496 115648 125024 142336 203164 212992 231296 250048 284672 406328 425984 462592 500096 543073 569344 812656 925184 1000192 1086146 1138688 1625312 1850368 2000384 2172292 2277376 3250624 3700736 4000768 4344584 4554752 6501248 7059949 7401472 8001536 8689168 13002496 14119898 14802944 16003072 17378336 26004992 28239796 29605888 32006144 34756672 52009984 56479592 59211776 64012288 69513344 104019968 112959184 128024576 139026688 208039936 225918368 278053376 416079872 451836736 556106752 832159744 903673472 1112213504 1664319488 1807346944 2224427008 3614693888 4448854016 7229387776 8897708032 14458775552 17795416064 28917551104 57835102208 115670204416 231340408832