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41404002012320 = 255715236968869
BaseRepresentation
bin10010110101000000111101…
…10101010000110010100000
312102121011222002102002121212
421122200132311100302200
520411330344003343240
6224020422544005252
711502224524201133
oct1132403665206240
9172534862362555
1041404002012320
111221337a810462
124788458600828
131a144c4348c5c
14a31d7040021a
154bc02e39d165
hex25a81ed50ca0

41404002012320 has 96 divisors (see below), whose sum is σ = 99384337342080. Its totient is φ = 16297115950080.

The previous prime is 41404002012311. The next prime is 41404002012343. The reversal of 41404002012320 is 2321020040414.

It is an unprimeable number.

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, 2456846 + ... + 9425714.

It is an arithmetic number, because the mean of its divisors is an integer number (1035253513980).

Almost surely, 241404002012320 is an apocalyptic number.

41404002012320 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 41404002012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49692168671040).

41404002012320 is an abundant number, since it is smaller than the sum of its proper divisors (57980335329760).

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

41404002012320 is a wasteful number, since it uses less digits than its factorization.

41404002012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969478 (or 6969470 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 41404002012320 its reverse (2321020040414), we get a palindrome (43725022052734).

The spelling of 41404002012320 in words is "forty-one trillion, four hundred four billion, two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 523 568 710 1046 1136 1420 2092 2272 2615 2840 4184 5230 5680 8368 10460 11360 16736 20920 37133 41840 74266 83680 148532 185665 297064 371330 594128 742660 1188256 1485320 2970640 5941280 6968869 13937738 27875476 34844345 55750952 69688690 111501904 139377380 223003808 278754760 494789699 557509520 989579398 1115019040 1979158796 2473948495 3644718487 3958317592 4947896990 7289436974 7916635184 9895793980 14578873948 15833270368 18223592435 19791587960 29157747896 36447184870 39583175920 58315495792 72894369740 79166351840 116630991584 145788739480 258775012577 291577478960 517550025154 583154957920 1035100050308 1293875062885 2070200100616 2587750125770 4140400201232 5175500251540 8280800402464 10351000503080 20702001006160 41404002012320