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202340451040 = 25572131985287
BaseRepresentation
bin1011110001110001101…
…1100100001011100000
3201100021110020220202021
42330130123210023200
511303343123413130
6232542014031224
720422120312300
oct2743433441340
9640243226667
10202340451040
11788a2a00762
123326b4a8514
1316108188250
149b16c7d600
1553e3b8637a
hex2f1c6e42e0

202340451040 has 144 divisors (see below), whose sum is σ = 598850213472. Its totient is φ = 64037385216.

The previous prime is 202340451031. The next prime is 202340451221. The reversal of 202340451040 is 40154043202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202340450996 and 202340451014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890724 + ... + 1094563.

It is an arithmetic number, because the mean of its divisors is an integer number (4158682038).

Almost surely, 2202340451040 is an apocalyptic number.

202340451040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202340451040 is an abundant number, since it is smaller than the sum of its proper divisors (396509762432).

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

202340451040 is a wasteful number, since it uses less digits than its factorization.

202340451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985329 (or 1985314 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 202340451040 its reverse (40154043202), we get a palindrome (242494494242).

The spelling of 202340451040 in words is "two hundred two billion, three hundred forty million, four hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 560 637 728 784 910 980 1040 1120 1274 1456 1568 1820 1960 2080 2548 2912 3185 3640 3920 5096 6370 7280 7840 10192 12740 14560 20384 25480 50960 101920 1985287 3970574 7941148 9926435 13897009 15882296 19852870 25808731 27794018 31764592 39705740 51617462 55588036 63529184 69485045 79411480 97279063 103234924 111176072 129043655 138970090 158822960 180661117 194558126 206469848 222352144 258087310 277940180 317645920 361322234 389116252 412939696 444704288 486395315 516174620 555880360 722644468 778232504 825879392 903305585 972790630 1032349240 1111760720 1264627819 1445288936 1556465008 1806611170 1945581260 2064698480 2223521440 2529255638 2890577872 3112930016 3613222340 3891162520 4129396960 5058511276 5781155744 6323139095 7226444680 7782325040 10117022552 12646278190 14452889360 15564650080 20234045104 25292556380 28905778720 40468090208 50585112760 101170225520 202340451040