Search a number
-
+
40320412143224 = 2397167383812359
BaseRepresentation
bin10010010101011110100111…
…10101111100111001111000
312021202121000211220100112012
421022233103311330321320
520241102201002040344
6221430535220305052
711331024254241623
oct1112572365747170
9167677024810465
1040320412143224
111193587755a724
124632448542188
1319662772a4815
149d5738548dba
1549dc5e40829e
hex24abd3d7ce78

40320412143224 has 64 divisors (see below), whose sum is σ = 77038243430400. Its totient is φ = 19781086270464.

The previous prime is 40320412143203. The next prime is 40320412143229. The reversal of 40320412143224 is 42234121402304.

It is a happy number.

It is a super-2 number, since 2×403204121432242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320412143229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49227557 + ... + 50039915.

It is an arithmetic number, because the mean of its divisors is an integer number (1203722553600).

Almost surely, 240320412143224 is an apocalyptic number.

It is an amenable number.

40320412143224 is a deficient number, since it is larger than the sum of its proper divisors (36717831287176).

40320412143224 is a wasteful number, since it uses less digits than its factorization.

40320412143224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813012 (or 813008 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 40320412143224 its reverse (42234121402304), we get a palindrome (82554533545528).

The spelling of 40320412143224 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, one hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 97 167 194 334 383 388 668 766 776 1336 1532 3064 16199 32398 37151 63961 64796 74302 127922 129592 148604 255844 297208 511688 812359 1624718 3249436 6204217 6498872 12408434 24816868 49633736 78798823 135663953 157597646 271327906 311133497 315195292 542655812 622266994 630390584 1085311624 1244533988 2489067976 13159403441 26318806882 30179949209 51959293999 52637613764 60359898418 103918587998 105275227528 120719796836 207837175996 241439593672 415674351992 5040051517903 10080103035806 20160206071612 40320412143224