Search a number
-
+
400032142413240 = 23353333601186777
BaseRepresentation
bin101101011110100111011110…
…1101111110100110110111000
31221110101200212210212212222110
41122331032331233310312320
5404413111311424210430
63534444121302252320
7150155240256634041
oct13275167557646670
91843350783785873
10400032142413240
1110650a751637487
1238a48aab1270a0
1314229b3b730a9c
1470ad93241d8c8
15313ab49d9b7b0
hex16bd3bdbf4db8

400032142413240 has 32 divisors (see below), whose sum is σ = 1200096427240080. Its totient is φ = 106675237976832.

The previous prime is 400032142413229. The next prime is 400032142413313. The reversal of 400032142413240 is 42314241230004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 400032142413198 and 400032142413207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666800593269 + ... + 1666800593508.

Almost surely, 2400032142413240 is an apocalyptic number.

400032142413240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400032142413240 is an abundant number, since it is smaller than the sum of its proper divisors (800064284826840).

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

400032142413240 is a wasteful number, since it uses less digits than its factorization.

400032142413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333601186791 (or 3333601186787 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 400032142413240 its reverse (42314241230004), we get a palindrome (442346383643244).

The spelling of 400032142413240 in words is "four hundred trillion, thirty-two billion, one hundred forty-two million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3333601186777 6667202373554 10000803560331 13334404747108 16668005933885 20001607120662 26668809494216 33336011867770 40003214241324 50004017801655 66672023735540 80006428482648 100008035603310 133344047471080 200016071206620 400032142413240