Search a number
-
+
4033044213440 = 265111774964553
BaseRepresentation
bin111010101100000100001…
…010101110111011000000
3112021112222210012200002012
4322230010022232323000
51012034133304312230
612324431022112052
7564243411121604
oct72540412567300
915245883180065
104033044213440
11131544a354280
1255176a41b628
13233411a85658
14dd2b3bbd504
156ed96ead395
hex3ab042aeec0

4033044213440 has 112 divisors (see below), whose sum is σ = 10477501524000. Its totient is φ = 1466456186880.

The previous prime is 4033044213439. The next prime is 4033044213503. The reversal of 4033044213440 is 443124403304.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4033044213397 and 4033044213406.

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, 62444204 + ... + 62508756.

It is an arithmetic number, because the mean of its divisors is an integer number (93549120750).

Almost surely, 24033044213440 is an apocalyptic number.

4033044213440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4033044213440 is an abundant number, since it is smaller than the sum of its proper divisors (6444457310560).

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

4033044213440 is a wasteful number, since it uses less digits than its factorization.

4033044213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82330 (or 82320 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4033044213440 its reverse (443124403304), we get a palindrome (4476168616744).

The spelling of 4033044213440 in words is "four trillion, thirty-three billion, forty-four million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 17749 35498 64553 70996 88745 129106 141992 177490 195239 258212 283984 322765 354980 390478 516424 567968 645530 709960 710083 780956 976195 1032848 1135936 1291060 1419920 1420166 1561912 1952390 2065696 2582120 2839840 2840332 3123824 3550415 3904780 4131392 5164240 5679680 5680664 6247648 7100830 7809560 10328480 11361328 12495296 14201660 15619120 20656960 22722656 28403320 31238240 45445312 56806640 62476480 113613280 227226560 1145751197 2291502394 4583004788 5728755985 9166009576 11457511970 12603263167 18332019152 22915023940 25206526334 36664038304 45830047880 50413052668 63016315835 73328076608 91660095760 100826105336 126032631670 183320191520 201652210672 252065263340 366640383040 403304421344 504130526680 806608842688 1008261053360 2016522106720 4033044213440