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41021400441320 = 235132271171296773
BaseRepresentation
bin10010101001111000010100…
…00000000110000111101000
312101020121101221001111101022
421110330022000012013220
520334043312003110240
6223124545440312012
711432461354410665
oct1124741200060750
9171217357044338
1041021400441320
111208609513a302
124726280012608
1319b73bc412520
14a1b636bd2a6c
154b20da12e9b5
hex254f0a0061e8

41021400441320 has 128 divisors (see below), whose sum is σ = 99921479091840. Its totient is φ = 15066710830080.

The previous prime is 41021400441257. The next prime is 41021400441347. The reversal of 41021400441320 is 2314400412014.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 41021400441320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138076454 + ... + 138373226.

It is an arithmetic number, because the mean of its divisors is an integer number (780636555405).

Almost surely, 241021400441320 is an apocalyptic number.

41021400441320 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 41021400441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49960739545920).

41021400441320 is an abundant number, since it is smaller than the sum of its proper divisors (58900078650520).

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

41021400441320 is a wasteful number, since it uses less digits than its factorization.

41021400441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298195 (or 298191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 41021400441320 its reverse (2314400412014), we get a palindrome (43335800853334).

The spelling of 41021400441320 in words is "forty-one trillion, twenty-one billion, four hundred million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 227 260 454 520 908 1135 1171 1816 2270 2342 2951 4540 4684 5855 5902 9080 9368 11710 11804 14755 15223 23420 23608 29510 30446 46840 59020 60892 76115 118040 121784 152230 265817 296773 304460 531634 593546 608920 1063268 1187092 1329085 1483865 2126536 2374184 2658170 2967730 3455621 3858049 5316340 5935460 6911242 7716098 10632680 11870920 13822484 15432196 17278105 19290245 27644968 30864392 34556210 38580490 67367471 69112420 77160980 134734942 138224840 154321960 269469884 336837355 347521183 538939768 673674710 695042366 875777123 1347349420 1390084732 1737605915 1751554246 2694698840 2780169464 3475211830 3503108492 4378885615 4517775379 6950423660 7006216984 8757771230 9035550758 13900847320 17515542460 18071101516 22588876895 35031084920 36142203032 45177753790 78887308541 90355507580 157774617082 180711015160 315549234164 394436542705 631098468328 788873085410 1025535011033 1577746170820 2051070022066 3155492341640 4102140044132 5127675055165 8204280088264 10255350110330 20510700220660 41021400441320