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41142240240 = 24353116733113
BaseRepresentation
bin100110010100010001…
…001100001111110000
310221012021101100112120
4212110101030033300
51133224403141430
630522300554240
72654354162163
oct462421141760
9127167340476
1041142240240
11164a27a4042
127b82552980
133b5890266a
141dc4183ada
15110be13610
hex99444c3f0

41142240240 has 160 divisors (see below), whose sum is σ = 132447522816. Its totient is φ = 10553456640.

The previous prime is 41142240157. The next prime is 41142240247. The reversal of 41142240240 is 4204224114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41142240240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41142240247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225924 + ... + 1259036.

Almost surely, 241142240240 is an apocalyptic number.

41142240240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41142240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66223761408).

41142240240 is an abundant number, since it is smaller than the sum of its proper divisors (91305282576).

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

41142240240 is a wasteful number, since it uses less digits than its factorization.

41142240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33327 (or 33321 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 41142240240 its reverse (4204224114), we get a palindrome (45346464354).

The spelling of 41142240240 in words is "forty-one billion, one hundred forty-two million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 167 186 240 248 310 334 372 465 496 501 620 668 744 835 930 1002 1240 1336 1488 1670 1860 2004 2480 2505 2672 3340 3720 4008 5010 5177 6680 7440 8016 10020 10354 13360 15531 20040 20708 25885 31062 33113 40080 41416 51770 62124 66226 77655 82832 99339 103540 124248 132452 155310 165565 198678 207080 248496 264904 310620 331130 397356 414160 496695 529808 621240 662260 794712 993390 1026503 1242480 1324520 1589424 1986780 2053006 2649040 3079509 3973560 4106012 5132515 5529871 6159018 7947120 8212024 10265030 11059742 12318036 15397545 16424048 16589613 20530060 22119484 24636072 27649355 30795090 33179226 41060120 44238968 49272144 55298710 61590180 66358452 82120240 82948065 88477936 110597420 123180360 132716904 165896130 171426001 221194840 246360720 265433808 331792260 342852002 442389680 514278003 663584520 685704004 857130005 1028556006 1327169040 1371408008 1714260010 2057112012 2571390015 2742816016 3428520020 4114224024 5142780030 6857040040 8228448048 10285560060 13714080080 20571120120 41142240240