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41322245404206 = 231319731530724953
BaseRepresentation
bin10010110010101000101011…
…10000100011011000101110
312102022100221022221002022010
421121110111300203120232
520404010424310413311
6223515102200102050
711463301522405104
oct1131242560433056
9172270838832263
1041322245404206
1112191736297738
124774640464926
131a09895307770
14a2c016245c74
154b9d46a97da6
hex259515c2362e

41322245404206 has 128 divisors (see below), whose sum is σ = 94979443668480. Its totient is φ = 11879093864448.

The previous prime is 41322245404189. The next prime is 41322245404211. The reversal of 41322245404206 is 60240454222314.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1655990626 + ... + 1656015578.

It is an arithmetic number, because the mean of its divisors is an integer number (742026903660).

Almost surely, 241322245404206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41322245404206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47489721834240).

41322245404206 is an abundant number, since it is smaller than the sum of its proper divisors (53657198264274).

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

41322245404206 is a wasteful number, since it uses less digits than its factorization.

41322245404206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40370.

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 41322245404206 in words is "forty-one trillion, three hundred twenty-two billion, two hundred forty-five million, four hundred four thousand, two hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 73 78 114 146 219 247 438 494 741 949 1387 1482 1898 2774 2847 4161 5694 8322 15307 18031 24953 30614 36062 45921 49906 54093 74859 91842 108186 149718 198991 290833 324389 397982 474107 581666 596973 648778 872499 948214 973167 1117411 1193946 1422321 1744998 1821569 1946334 2234822 2844642 3352233 3643138 3780829 5464707 6163391 6704466 7561658 10929414 11342487 12326782 14526343 18490173 21230809 22684974 23680397 29052686 34609811 36980346 42461618 43579029 47360794 63692427 69219622 71041191 87158058 103829433 127384854 142082382 207658866 276000517 381955571 449927543 552001034 763911142 828001551 899855086 1145866713 1349782629 1656003102 2291733426 2699565258 4965422423 7257155849 9930844846 14514311698 14896267269 21771467547 27882756683 29792534538 43542935094 55765513366 83648270049 94343026037 167296540098 188686052074 283029078111 362475836879 529772376977 566058156222 724951673758 1059544753954 1087427510637 1589317130931 2174855021274 3178634261862 6887040900701 13774081801402 20661122702103 41322245404206