Search a number
-
+
10400240213034 = 237310946362997
BaseRepresentation
bin1001011101010111111010…
…0111111001110000101010
31100211020211121210201011020
42113111332213321300222
52330344142443304114
634041445425513310
72122251435126000
oct227257647716052
940736747721136
1010400240213034
11334a798514a91
1211bb7774a2836
135a597a490649
1427d535180a70
1513080298aaa9
hex9757e9f9c2a

10400240213034 has 64 divisors (see below), whose sum is σ = 24479662944000. Its totient is φ = 2944235697984.

The previous prime is 10400240212997. The next prime is 10400240213063. The reversal of 10400240213034 is 43031204200401.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10400240212995 and 10400240213013.

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, 22957177 + ... + 23405820.

It is an arithmetic number, because the mean of its divisors is an integer number (382494733500).

Almost surely, 210400240213034 is an apocalyptic number.

10400240213034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10400240213034 is an abundant number, since it is smaller than the sum of its proper divisors (14079422730966).

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

10400240213034 is a wasteful number, since it uses less digits than its factorization.

10400240213034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46363132 (or 46363118 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10400240213034 its reverse (43031204200401), we get a palindrome (53431444413435).

The spelling of 10400240213034 in words is "ten trillion, four hundred billion, two hundred forty million, two hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 109 147 218 294 327 343 654 686 763 1029 1526 2058 2289 4578 5341 10682 16023 32046 37387 74774 112161 224322 46362997 92725994 139088991 278177982 324540979 649081958 973622937 1947245874 2271786853 4543573706 5053566673 6815360559 10107133346 13630721118 15160700019 15902507971 30321400038 31805015942 35374966711 47707523913 70749933422 95415047826 106124900133 212249800266 247624766977 495249533954 742874300931 1485748601862 1733373368839 3466746737678 5200120106517 10400240213034