Search a number
-
+
10401405223400 = 235252007026117
BaseRepresentation
bin1001011101011100010000…
…0100000100000111101000
31100211100211210222100221022
42113113010010010013220
52330404034214122100
634042201204032012
72122322342424452
oct227270404040750
940740753870838
1010401405223400
1133502360a2574
1211bba41692608
135a5b049539a9
1427d605ba32d2
1513086edb3e85
hex975c41041e8

10401405223400 has 24 divisors (see below), whose sum is σ = 24183267144870. Its totient is φ = 4160562089280.

The previous prime is 10401405223393. The next prime is 10401405223403. The reversal of 10401405223400 is 432250410401.

It can be written as a sum of positive squares in 3 ways, for example, as 9899543493316 + 501861730084 = 3146354^2 + 708422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10401405223400.

It is not an unprimeable number, because it can be changed into a prime (10401405223403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26003512859 + ... + 26003513258.

Almost surely, 210401405223400 is an apocalyptic number.

10401405223400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401405223400 is an abundant number, since it is smaller than the sum of its proper divisors (13781861921470).

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

10401405223400 is a wasteful number, since it uses less digits than its factorization.

10401405223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52007026133 (or 52007026124 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10401405223400 its reverse (432250410401), we get a palindrome (10833655633801).

The spelling of 10401405223400 in words is "ten trillion, four hundred one billion, four hundred five million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 52007026117 104014052234 208028104468 260035130585 416056208936 520070261170 1040140522340 1300175652925 2080281044680 2600351305850 5200702611700 10401405223400