Search a number
-
+
40220410414240 = 255735911080727
BaseRepresentation
bin10010010010100100010110…
…10001101000010010100000
312021102000220120000011120001
421021102023101220102200
520232432400031223430
6221313000152225344
711320554156462430
oct1111221321502240
9167360816004501
1040220410414240
11118a7420153611
124616b9a09b254
1319599cb30b114
149d096d1982c0
1549b359e7b3ca
hex24948b4684a0

40220410414240 has 48 divisors (see below), whose sum is σ = 108595108121472. Its totient is φ = 13789854998784.

The previous prime is 40220410414207. The next prime is 40220410414259. The reversal of 40220410414240 is 4241401402204.

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 = 40220410414199 and 40220410414208.

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, 17955539244 + ... + 17955541483.

It is an arithmetic number, because the mean of its divisors is an integer number (2262398085864).

Almost surely, 240220410414240 is an apocalyptic number.

40220410414240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40220410414240 is an abundant number, since it is smaller than the sum of its proper divisors (68374697707232).

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

40220410414240 is a wasteful number, since it uses less digits than its factorization.

40220410414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35911080749 (or 35911080741 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 40220410414240 its reverse (4241401402204), we get a palindrome (44461811816444).

The spelling of 40220410414240 in words is "forty trillion, two hundred twenty billion, four hundred ten million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 35911080727 71822161454 143644322908 179555403635 251377565089 287288645816 359110807270 502755130178 574577291632 718221614540 1005510260356 1149154583264 1256887825445 1436443229080 2011020520712 2513775650890 2872886458160 4022041041424 5027551301780 5745772916320 8044082082848 10055102603560 20110205207120 40220410414240