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40635444453604 = 2271113101100482301
BaseRepresentation
bin10010011110101001011010…
…01110110110000011100100
312022212201011222202212110121
421033110231032312003210
520311232342240003404
6222231355424131324
711362546123554130
oct1117245516660344
9168781158685417
1040635444453604
1111a47439037230
124683508166b44
131989ba1552c30
14a06aa1cc23c0
154a704b65ee54
hex24f52d3b60e4

40635444453604 has 96 divisors (see below), whose sum is σ = 96424424716032. Its totient is φ = 14469451200000.

The previous prime is 40635444453601. The next prime is 40635444453733.

It is a happy number.

40635444453604 is nontrivially palindromic in base 10.

40635444453604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×406354444536042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (40635444453601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49836747 + ... + 50645554.

It is an arithmetic number, because the mean of its divisors is an integer number (1004421090792).

Almost surely, 240635444453604 is an apocalyptic number.

40635444453604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40635444453604 is an abundant number, since it is smaller than the sum of its proper divisors (55788980262428).

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

40635444453604 is a wasteful number, since it uses less digits than its factorization.

40635444453604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100482437 (or 100482435 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 52.

The spelling of 40635444453604 in words is "forty trillion, six hundred thirty-five billion, four hundred forty-four million, four hundred fifty-three thousand, six hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 182 202 286 308 364 404 572 707 1001 1111 1313 1414 2002 2222 2626 2828 4004 4444 5252 7777 9191 14443 15554 18382 28886 31108 36764 57772 101101 202202 404404 100482301 200964602 401929204 703376107 1105305311 1306269913 1406752214 2210610622 2612539826 2813504428 4421221244 5225079652 7737137177 9143889391 10148712401 14368969043 15474274354 18287778782 20297424802 28737938086 30948548708 36575557564 40594849604 57475876172 71040986807 100582783301 111635836411 131933261213 142081973614 201165566602 223271672822 263866522426 284163947228 402331133204 446543345644 527733044852 781450854877 923532828491 1451265873343 1562901709754 1847065656982 2902531746686 3125803419508 3694131313964 5805063493372 10158861113401 20317722226802 40635444453604