Search a number
-
+
4000302341320 = 2351092576835227
BaseRepresentation
bin111010001101100100100…
…110011001110011001000
3112011102110221121020020211
4322031210212121303020
51011020104344410240
612301414042130504
7562004135603515
oct72154446316310
915142427536224
104000302341320
11130257842512a
125473511b0a34
132302c463611c
14db88956230c
156e0cc7ccbea
hex3a364999cc8

4000302341320 has 128 divisors (see below), whose sum is σ = 9133696598400. Its totient is φ = 1576657944576.

The previous prime is 4000302341317. The next prime is 4000302341369. The reversal of 4000302341320 is 231432030004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4000302341291 and 4000302341300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765312547 + ... + 765317773.

It is an arithmetic number, because the mean of its divisors is an integer number (71357004675).

Almost surely, 24000302341320 is an apocalyptic number.

4000302341320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000302341320 is an abundant number, since it is smaller than the sum of its proper divisors (5133394257080).

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

4000302341320 is a wasteful number, since it uses less digits than its factorization.

4000302341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 4000302341320 its reverse (231432030004), we get a palindrome (4231734371324).

The spelling of 4000302341320 in words is "four trillion, three hundred two million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 257 436 514 545 683 872 1028 1090 1285 1366 2056 2180 2570 2732 3415 4360 5140 5227 5464 6830 10280 10454 13660 20908 26135 27320 28013 41816 52270 56026 74447 104540 112052 140065 148894 175531 209080 224104 280130 297788 351062 372235 560260 569743 595576 702124 744470 877655 1120520 1139486 1343339 1404248 1488940 1755310 2278972 2686678 2848715 2977880 3510620 3570041 4557944 5373356 5697430 6716695 7021240 7140082 10746712 11394860 13433390 14280164 17850205 19132879 22789720 26866780 28560328 35700410 38265758 53733560 71400820 76531516 95664395 142801640 146423951 153063032 191328790 292847902 382657580 389134469 585695804 732119755 765315160 778268938 917500537 1171391608 1464239510 1556537876 1835001074 1945672345 2928479020 3113075752 3670002148 3891344690 4587502685 5856958040 7340004296 7782689380 9175005370 15565378760 18350010740 36700021480 100007558533 200015117066 400030234132 500037792665 800060468264 1000075585330 2000151170660 4000302341320