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2313104040 = 233451354917
BaseRepresentation
bin1000100111011111…
…0010101010101000
312222012111212020000
42021313302222220
514214123312130
61021305503000
7111215026362
oct21167625250
95865455200
102313104040
11a87761335
125467a1a60
132ab2b2820
1417d2bdd32
15d810e260
hex89df2aa8

2313104040 has 160 divisors (see below), whose sum is σ = 8372798280. Its totient is φ = 569369088.

The previous prime is 2313103993. The next prime is 2313104081. The reversal of 2313104040 is 404013132.

2313104040 is a `hidden beast` number, since 231 + 31 + 0 + 404 + 0 = 666.

2313104040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1271492964 + 1041611076 = 35658^2 + 32274^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14662 + ... + 69578.

Almost surely, 22313104040 is an apocalyptic number.

2313104040 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 2313104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186399140).

2313104040 is an abundant number, since it is smaller than the sum of its proper divisors (6059694240).

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

2313104040 is a wasteful number, since it uses less digits than its factorization.

2313104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54953 (or 54940 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2313104040 is about 48094.7402529632. The cubic root of 2313104040 is about 1322.5082473700.

Adding to 2313104040 its reverse (404013132), we get a palindrome (2717117172).

The spelling of 2313104040 in words is "two billion, three hundred thirteen million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 54917 109834 164751 219668 274585 329502 439336 494253 549170 659004 713921 823755 988506 1098340 1318008 1427842 1482759 1647510 1977012 2141763 2196680 2471265 2855684 2965518 3295020 3569605 3954024 4283526 4448277 4942530 5711368 5931036 6425289 6590040 7139210 7413795 8567052 8896554 9885060 10708815 11862072 12850578 14278420 14827590 17134104 17793108 19275867 19770120 21417630 22241385 25701156 28556840 29655180 32126445 35586216 38551734 42835260 44482770 51402312 57827601 59310360 64252890 77103468 85670520 88965540 96379335 115655202 128505780 154206936 177931080 192758670 231310404 257011560 289138005 385517340 462620808 578276010 771034680 1156552020 2313104040