Search a number
-
+
40224442335 = 35711277712541
BaseRepresentation
bin100101011101100100…
…000100011111011111
310211211022101101111120
4211131210010133133
51124334424123320
630251233222023
72622541055430
oct453544043737
9124738341446
1040224442335
1116071715980
127967101913
133a40716c8c
141d38313487
1510a656d440
hex95d9047df

40224442335 has 64 divisors (see below), whose sum is σ = 80275221504. Its totient is φ = 16709299200.

The previous prime is 40224442333. The next prime is 40224442343. The reversal of 40224442335 is 53324442204.

It is not a de Polignac number, because 40224442335 - 21 = 40224442333 is a prime.

It is a super-2 number, since 2×402244423352 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40224442296 and 40224442305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40224442333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3201165 + ... + 3213705.

It is an arithmetic number, because the mean of its divisors is an integer number (1254300336).

Almost surely, 240224442335 is an apocalyptic number.

40224442335 is a deficient number, since it is larger than the sum of its proper divisors (40050779169).

40224442335 is a wasteful number, since it uses less digits than its factorization.

40224442335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15344.

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 40224442335 its reverse (53324442204), we get a palindrome (93548884539).

The spelling of 40224442335 in words is "forty billion, two hundred twenty-four million, four hundred forty-two thousand, three hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 2777 8331 12541 13885 19439 30547 37623 41655 58317 62705 87787 91641 97195 137951 152735 188115 213829 263361 291585 413853 438935 458205 641487 689755 965657 1069145 1316805 2069265 2896971 3207435 4828285 14484855 34826357 104479071 174131785 243784499 383089927 522395355 731353497 1149269781 1218922495 1915449635 2681629489 3656767485 5746348905 8044888467 13408147445 40224442335