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41231311001440 = 2557217832949577
BaseRepresentation
bin10010101111111111010011…
…01001010101011101100000
312101222200012221210210112221
421113333221221111131200
520401013211104021230
6223405223000200424
711453602215626200
oct1127775151253540
9171880187723487
1041231311001440
1112157112186a5a
12475aaa2769114
131a01132a34b51
14a2786b1d4400
154b77c369627a
hex257fe9a55760

41231311001440 has 144 divisors (see below), whose sum is σ = 113376067936992. Its totient is φ = 14128516233216.

The previous prime is 41231311001437. The next prime is 41231311001453. The reversal of 41231311001440 is 4410011313214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12503932 + ... + 15453508.

It is an arithmetic number, because the mean of its divisors is an integer number (787333805118).

Almost surely, 241231311001440 is an apocalyptic number.

41231311001440 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 41231311001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56688033968496).

41231311001440 is an abundant number, since it is smaller than the sum of its proper divisors (72144756935552).

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

41231311001440 is a wasteful number, since it uses less digits than its factorization.

41231311001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951389 (or 2951374 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 41231311001440 its reverse (4410011313214), we get a palindrome (45641322314654).

The spelling of 41231311001440 in words is "forty-one trillion, two hundred thirty-one billion, three hundred eleven million, one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1783 1960 3566 3920 7132 7840 8915 12481 14264 17830 24962 28528 35660 49924 57056 62405 71320 87367 99848 124810 142640 174734 199696 249620 285280 349468 399392 436835 499240 698936 873670 998480 1397872 1747340 1996960 2795744 2949577 3494680 5899154 6989360 11798308 13978720 14747885 20647039 23596616 29495770 41294078 47193232 58991540 82588156 94386464 103235195 117983080 144529273 165176312 206470390 235966160 289058546 330352624 412940780 471932320 578117092 660705248 722646365 825881560 1156234184 1445292730 1651763120 2312468368 2890585460 3303526240 4624936736 5259095791 5781170920 10518191582 11562341840 21036383164 23124683680 26295478955 36813670537 42072766328 52590957910 73627341074 84145532656 105181915820 147254682148 168291065312 184068352685 210363831640 257695693759 294509364296 368136705370 420727663280 515391387518 589018728592 736273410740 841455326560 1030782775036 1178037457184 1288478468795 1472546821480 2061565550072 2576956937590 2945093642960 4123131100144 5153913875180 5890187285920 8246262200288 10307827750360 20615655500720 41231311001440