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41530420526028 = 22372653721914983
BaseRepresentation
bin10010111000101100011011…
…11101100111101111001100
312110001021021102010222200020
421130112031331213233030
520420413300123313103
6224154451203302140
711514321351632400
oct1134261575475714
9173037242128606
1041530420526028
1112261a52766965
1247a8a5997a950
131a233c0223415
14a38123d79100
154c047caaa753
hex25c58df67bcc

41530420526028 has 144 divisors (see below), whose sum is σ = 112921229272320. Its totient is φ = 11845231364736.

The previous prime is 41530420526011. The next prime is 41530420526029. The reversal of 41530420526028 is 82062502403514.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (41530420526029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2771828625 + ... + 2771843607.

It is an arithmetic number, because the mean of its divisors is an integer number (784175203280).

Almost surely, 241530420526028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41530420526028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56460614636160).

41530420526028 is an abundant number, since it is smaller than the sum of its proper divisors (71390808746292).

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

41530420526028 is a wasteful number, since it uses less digits than its factorization.

41530420526028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22876 (or 22867 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 41530420526028 in words is "forty-one trillion, five hundred thirty billion, four hundred twenty million, five hundred twenty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 653 1306 1959 2612 3918 4571 7219 7836 9142 13713 14438 14983 18284 21657 27426 28876 29966 31997 43314 44949 50533 54852 59932 63994 86628 89898 95991 101066 104881 127988 151599 179796 191982 202132 209762 303198 314643 353731 383964 419524 606396 629286 707462 734167 1061193 1258572 1414924 1468334 2122386 2202501 2936668 4244772 4405002 4714007 8810004 9428014 9783899 14142021 18856028 19567798 28284042 29351697 32998049 39135596 56568084 58703394 65996098 68487293 98994147 108162277 117406788 131992196 136974586 197988294 205461879 216324554 230986343 273949172 324486831 395976588 410923758 432649108 461972686 479411051 648973662 692959029 757135939 821847516 923945372 958822102 1297947324 1385918058 1438233153 1514271878 1917644204 2271407817 2771836116 2876466306 3028543756 4542815634 5299951573 5752932612 9085631268 10599903146 15899854719 21199806292 31799709438 63599418876 70629966881 141259933762 211889900643 282519867524 423779801286 494409768167 847559602572 988819536334 1483229304501 1977639072668 2966458609002 3460868377169 5932917218004 6921736754338 10382605131507 13843473508676 20765210263014 41530420526028