Search a number
-
+
41123013122000 = 245347437478863
BaseRepresentation
bin10010101100110101100101…
…00101101101011111010000
312101121022200111020111122002
421112122302211231133100
520342224412324401000
6223243352412533132
711443016413062305
oct1126326245553720
9171538614214562
1041123013122000
1112115198918257
124741ab9a811a8
1319c3b64077794
14a225160c90ac
154b4a85c208d5
hex2566b296d7d0

41123013122000 has 80 divisors (see below), whose sum is σ = 101551093742592. Its totient is φ = 16099222121600.

The previous prime is 41123013121979. The next prime is 41123013122069. The reversal of 41123013122000 is 22131032114.

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

It is a super-2 number, since 2×411230131220002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 218645432 + ... + 218833431.

Almost surely, 241123013122000 is an apocalyptic number.

41123013122000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41123013122000 is an abundant number, since it is smaller than the sum of its proper divisors (60428080620592).

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

41123013122000 is a wasteful number, since it uses less digits than its factorization.

41123013122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437478933 (or 437478917 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 41123013122000 its reverse (22131032114), we get a palindrome (41145144154114).

The spelling of 41123013122000 in words is "forty-one trillion, one hundred twenty-three billion, thirteen million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 47000 94000 437478863 874957726 1749915452 2187394315 3499830904 4374788630 6999661808 8749577260 10936971575 17499154520 20561506561 21873943150 34998309040 41123013122 43747886300 54684857875 82246026244 87495772600 102807532805 109369715750 164492052488 174991545200 205615065610 218739431500 328984104976 411230131220 437478863000 514037664025 822460262440 874957726000 1028075328050 1644920524880 2056150656100 2570188320125 4112301312200 5140376640250 8224602624400 10280753280500 20561506561000 41123013122000