Search a number
-
+
10400321433124 = 2272912808277627
BaseRepresentation
bin1001011101011000001101…
…1101101110111000100100
31100211021001021122010011201
42113112003131232320210
52330344324241324444
634041501450412244
72122253442363160
oct227260335567044
940737037563151
1010400321433124
11334a82a349927
1211bb79a731084
135a599125a17c
1427d541c83ca0
15130809b80dd4
hex9758376ee24

10400321433124 has 24 divisors (see below), whose sum is σ = 21517906415040. Its totient is φ = 4303581282336.

The previous prime is 10400321433107. The next prime is 10400321433193. The reversal of 10400321433124 is 42133412300401.

It is a happy number.

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 = 10400321433092 and 10400321433101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6404138002 + ... + 6404139625.

It is an arithmetic number, because the mean of its divisors is an integer number (896579433960).

Almost surely, 210400321433124 is an apocalyptic number.

10400321433124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10400321433124 is an abundant number, since it is smaller than the sum of its proper divisors (11117584981916).

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

10400321433124 is a wasteful number, since it uses less digits than its factorization.

10400321433124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808277667 (or 12808277665 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10400321433124 its reverse (42133412300401), we get a palindrome (52533733733525).

The spelling of 10400321433124 in words is "ten trillion, four hundred billion, three hundred twenty-one million, four hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 12808277627 25616555254 51233110508 89657943389 179315886778 358631773556 371440051183 742880102366 1485760204732 2600080358281 5200160716562 10400321433124