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41014012133040 = 2435612801503561
BaseRepresentation
bin10010101001101010100011…
…00111111011111010110000
312101012220100000122112202220
421110311101213323322300
520333433144101224130
6223121324351241040
711432110312003422
oct1124652147737260
9171186300575686
1041014012133040
1112082a43685a01
124724959819180
1319b67b282c88b
14a1b135876812
154b1d066b1410
hex254d519fbeb0

41014012133040 has 80 divisors (see below), whose sum is σ = 129227756307936. Its totient is φ = 10757773670400.

The previous prime is 41014012133023. The next prime is 41014012133053. The reversal of 41014012133040 is 4033121041014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41014012133040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400737141 + ... + 1400766420.

Almost surely, 241014012133040 is an apocalyptic number.

41014012133040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41014012133040 is an abundant number, since it is smaller than the sum of its proper divisors (88213744174896).

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

41014012133040 is a wasteful number, since it uses less digits than its factorization.

41014012133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801503638 (or 2801503632 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41014012133040 its reverse (4033121041014), we get a palindrome (45047133174054).

The spelling of 41014012133040 in words is "forty-one trillion, fourteen billion, twelve million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 2801503561 5603007122 8404510683 11206014244 14007517805 16809021366 22412028488 28015035610 33618042732 42022553415 44824056976 56030071220 67236085464 84045106830 112060142440 134472170928 168090213660 170891717221 224120284880 336180427320 341783434442 512675151663 672360854640 683566868884 854458586105 1025350303326 1367133737768 1708917172210 2050700606652 2563375758315 2734267475536 3417834344420 4101401213304 5126751516630 6835668688840 8202802426608 10253503033260 13671337377680 20507006066520 41014012133040