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41140331120 = 2457837691151
BaseRepresentation
bin100110010100001001…
…111010001001110000
310221012010210100201102
4212110021322021300
51133223411043440
630522152023532
72654332021220
oct462411721160
9127163710642
1041140331120
11164a170a759
127b81991ba8
133b583b46c5
141dc3c08080
15110bb87b15
hex99427a270

41140331120 has 160 divisors (see below), whose sum is σ = 110872903680. Its totient is φ = 13905100800.

The previous prime is 41140331101. The next prime is 41140331149. The reversal of 41140331120 is 2113304114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41140331092 and 41140331101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35742545 + ... + 35743695.

It is an arithmetic number, because the mean of its divisors is an integer number (692955648).

Almost surely, 241140331120 is an apocalyptic number.

41140331120 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 41140331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55436451840).

41140331120 is an abundant number, since it is smaller than the sum of its proper divisors (69732572560).

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

41140331120 is a wasteful number, since it uses less digits than its factorization.

41140331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 41140331120 its reverse (2113304114), we get a palindrome (43253635234).

The spelling of 41140331120 in words is "forty-one billion, one hundred forty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 769 830 1151 1162 1328 1538 1660 2302 2324 2905 3076 3320 3845 4604 4648 5383 5755 5810 6152 6640 7690 8057 9208 9296 10766 11510 11620 12304 15380 16114 18416 21532 23020 23240 26915 30760 32228 40285 43064 46040 46480 53830 61520 63827 64456 80570 86128 92080 95533 107660 127654 128912 161140 191066 215320 255308 319135 322280 382132 430640 446789 477665 510616 638270 644560 668731 764264 885119 893578 955330 1021232 1276540 1337462 1528528 1770238 1787156 1910660 2233945 2553080 2674924 3343655 3540476 3574312 3821320 4425595 4467890 5106160 5349848 6195833 6687310 7080952 7148624 7642640 8851190 8935780 10699696 12391666 13374620 14161904 17702380 17871560 24783332 26749240 30979165 35404760 35743120 49566664 53498480 61958330 70809520 73464877 99133328 123916660 146929754 247833320 293859508 367324385 495666640 514254139 587719016 734648770 1028508278 1175438032 1469297540 2057016556 2571270695 2938595080 4114033112 5142541390 5877190160 8228066224 10285082780 20570165560 41140331120