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232104320040 = 233523357714387
BaseRepresentation
bin1101100000101001111…
…1101101110000101000
3211012002202020010021210
43120022133231300220
512300322201220130
6254343253033120
722524522111465
oct3301237556050
9735082203253
10232104320040
118a486923aaa
1238b973257a0
1318b6c655558
14b33bbbc66c
156086bba5b0
hex360a7edc28

232104320040 has 128 divisors (see below), whose sum is σ = 700562079360. Its totient is φ = 61517758464.

The previous prime is 232104320039. The next prime is 232104320099. The reversal of 232104320040 is 40023401232.

232104320040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232104319989 and 232104320016.

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 31 ways as a sum of consecutive naturals, for example, 16125727 + ... + 16140113.

It is an arithmetic number, because the mean of its divisors is an integer number (5473141245).

Almost surely, 2232104320040 is an apocalyptic number.

232104320040 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 232104320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350281039680).

232104320040 is an abundant number, since it is smaller than the sum of its proper divisors (468457759320).

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

232104320040 is a wasteful number, since it uses less digits than its factorization.

232104320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15211 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 232104320040 its reverse (40023401232), we get a palindrome (272127721272).

The spelling of 232104320040 in words is "two hundred thirty-two billion, one hundred four million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 577 699 932 1154 1165 1398 1731 1864 2308 2330 2796 2885 3462 3495 4616 4660 5592 5770 6924 6990 8655 9320 11540 13848 13980 14387 17310 23080 27960 28774 34620 43161 57548 69240 71935 86322 115096 134441 143870 172644 215805 268882 287740 345288 403323 431610 537764 575480 672205 806646 863220 1075528 1344410 1613292 1726440 2016615 2688820 3226584 3352171 4033230 5377640 6704342 8066460 8301299 10056513 13408684 16132920 16602598 16760855 20113026 24903897 26817368 33205196 33521710 40226052 41506495 49807794 50282565 66410392 67043420 80452104 83012990 99615588 100565130 124519485 134086840 166025980 199231176 201130260 249038970 332051960 402260520 498077940 996155880 1934202667 3868405334 5802608001 7736810668 9671013335 11605216002 15473621336 19342026670 23210432004 29013040005 38684053340 46420864008 58026080010 77368106680 116052160020 232104320040