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1022245244440 = 235741137649969
BaseRepresentation
bin11101110000000101001…
…00001000111000011000
310121201121000202221002021
432320002210020320120
5113222024240310230
62101340223144224
7133566122132050
oct16700244107030
93551530687067
101022245244440
11364593877332
1214614ba45074
1375521b86784
14376969c6560
151b8ce689c7a
hexee02908e18

1022245244440 has 128 divisors (see below), whose sum is σ = 2712402806400. Its totient is φ = 339439288320.

The previous prime is 1022245244437. The next prime is 1022245244473. The reversal of 1022245244440 is 444425422201.

It is a junction number, because it is equal to n+sod(n) for n = 1022245244396 and 1022245244405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247776 + ... + 1897744.

It is an arithmetic number, because the mean of its divisors is an integer number (21190646925).

Almost surely, 21022245244440 is an apocalyptic number.

1022245244440 is a gapful number since it is divisible by the number (10) 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 1022245244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356201403200).

1022245244440 is an abundant number, since it is smaller than the sum of its proper divisors (1690157561960).

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

1022245244440 is a wasteful number, since it uses less digits than its factorization.

1022245244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650165 (or 650161 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 34.

The spelling of 1022245244440 in words is "one trillion, twenty-two billion, two hundred forty-five million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 137 140 164 205 274 280 287 328 410 548 574 685 820 959 1096 1148 1370 1435 1640 1918 2296 2740 2870 3836 4795 5480 5617 5740 7672 9590 11234 11480 19180 22468 28085 38360 39319 44936 56170 78638 112340 157276 196595 224680 314552 393190 649969 786380 1299938 1572760 2599876 3249845 4549783 5199752 6499690 9099566 12999380 18199132 22748915 25998760 26648729 36398264 45497830 53297458 89045753 90995660 106594916 133243645 178091506 181991320 186541103 213189832 266487290 356183012 373082206 445228765 532974580 623320271 712366024 746164412 890457530 932705515 1065949160 1246640542 1492328824 1780915060 1865411030 2493281084 3116601355 3561830120 3650875873 3730822060 4986562168 6233202710 7301751746 7461644120 12466405420 14603503492 18254379365 24932810840 25556131111 29207006984 36508758730 51112262222 73017517460 102224524444 127780655555 146035034920 204449048888 255561311110 511122622220 1022245244440