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2303404313140 = 225731245737463
BaseRepresentation
bin100001100001001101100…
…110001000101000110100
322011012111012120220102001
4201201031212020220310
5300214333001010030
64522100324225044
7325262335420540
oct41411546105064
98135435526361
102303404313140
11808960759a17
123124b953b184
13139296769048
147d6b1ba2a20
153edb4496cca
hex2184d988a34

2303404313140 has 144 divisors (see below), whose sum is σ = 5724903211776. Its totient is φ = 762570478080.

The previous prime is 2303404313087. The next prime is 2303404313149. The reversal of 2303404313140 is 413134043032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2303404313099 and 2303404313108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303404313149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61466049 + ... + 61503511.

It is an arithmetic number, because the mean of its divisors is an integer number (39756272304).

Almost surely, 22303404313140 is an apocalyptic number.

2303404313140 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 2303404313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862451605888).

2303404313140 is an abundant number, since it is smaller than the sum of its proper divisors (3421498898636).

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

2303404313140 is a wasteful number, since it uses less digits than its factorization.

2303404313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37998 (or 37965 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2303404313140 its reverse (413134043032), we get a palindrome (2716538356172).

The spelling of 2303404313140 in words is "two trillion, three hundred three billion, four hundred four million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 457 620 868 914 961 1085 1828 1922 2170 2285 3199 3844 4340 4570 4805 6398 6727 9140 9610 12796 13454 14167 15995 19220 26908 28334 31990 33635 37463 56668 63980 67270 70835 74926 99169 134540 141670 149852 187315 198338 262241 283340 374630 396676 439177 495845 524482 749260 878354 991690 1048964 1161353 1311205 1756708 1983380 2195885 2322706 2622410 3074239 4391770 4645412 5244820 5806765 6148478 8129471 8783540 11613530 12296956 15371195 16258942 17120591 23227060 30742390 32517884 34241182 36001943 40647355 61484780 68482364 72003886 81294710 85602955 119844137 144007772 162589420 171205910 180009715 239688274 252013601 342411820 360019430 479376548 504027202 530738321 599220685 720038860 1008054404 1061476642 1198441370 1260068005 2122953284 2396882740 2520136010 2653691605 3715168247 5040272020 5307383210 7430336494 10614766420 14860672988 16452887951 18575841235 32905775902 37151682470 65811551804 74303364940 82264439755 115170215657 164528879510 230340431314 329057759020 460680862628 575851078285 1151702156570 2303404313140