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41404233140320 = 2551967203280799
BaseRepresentation
bin10010110101000001011001…
…00110111100100001100000
312102121012120012022121122011
421122200230212330201200
520411331332140442240
6224020501521522304
711502233331562531
oct1132405446744140
9172535505277564
1041404233140320
1112213489224336
124788501aa3394
131a145301b179b
14a31d92da6688
154bc0448056ea
hex25a82c9bc860

41404233140320 has 96 divisors (see below), whose sum is σ = 104502593664000. Its totient is φ = 15455845633536.

The previous prime is 41404233140297. The next prime is 41404233140323. The reversal of 41404233140320 is 2304133240414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41404233140323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101436720 + ... + 101844079.

It is an arithmetic number, because the mean of its divisors is an integer number (1088568684000).

Almost surely, 241404233140320 is an apocalyptic number.

41404233140320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41404233140320 is an abundant number, since it is smaller than the sum of its proper divisors (63098360523680).

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

41404233140320 is a wasteful number, since it uses less digits than its factorization.

41404233140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203280900 (or 203280892 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 41404233140320 its reverse (2304133240414), we get a palindrome (43708366380734).

The spelling of 41404233140320 in words is "forty-one trillion, four hundred four billion, two hundred thirty-three million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 67 76 80 95 134 152 160 190 268 304 335 380 536 608 670 760 1072 1273 1340 1520 2144 2546 2680 3040 5092 5360 6365 10184 10720 12730 20368 25460 40736 50920 101840 203680 203280799 406561598 813123196 1016403995 1626246392 2032807990 3252492784 3862335181 4065615980 6504985568 7724670362 8131231960 13619813533 15449340724 16262463920 19311675905 27239627066 30898681448 32524927840 38623351810 54479254132 61797362896 68099067665 77246703620 108958508264 123594725792 136198135330 154493407240 217917016528 258776457127 272396270660 308986814480 435834033056 517552914254 544792541320 617973628960 1035105828508 1089585082640 1293882285635 2070211657016 2179170165280 2587764571270 4140423314032 5175529142540 8280846628064 10351058285080 20702116570160 41404233140320