Search a number
-
+
422302120053040 = 245611571471337463
BaseRepresentation
bin110000000000101001101111…
…1110110101000100100110000
32001101020200120211202100112201
41200001103133312220210300
5420322444220213144130
64054054525443232544
7154644215133361423
oct14001233766504460
92041220524670481
10422302120053040
11112616361415a67
123b444b91678754
1315183bc41b3bb6
14763d762c839ba
1533c50a9829bca
hex18014dfda8930

422302120053040 has 160 divisors (see below), whose sum is σ = 1004399799048576. Its totient is φ = 165077735546880.

The previous prime is 422302120053029. The next prime is 422302120053049. The reversal of 422302120053040 is 40350021203224.

It is not an unprimeable number, because it can be changed into a prime (422302120053049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11272493349 + ... + 11272530811.

Almost surely, 2422302120053040 is an apocalyptic number.

422302120053040 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 422302120053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502199899524288).

422302120053040 is an abundant number, since it is smaller than the sum of its proper divisors (582097678995536).

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

422302120053040 is a wasteful number, since it uses less digits than its factorization.

422302120053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52407 (or 52401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 422302120053040 its reverse (40350021203224), we get a palindrome (462652141256264).

The spelling of 422302120053040 in words is "four hundred twenty-two trillion, three hundred two billion, one hundred twenty million, fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 157 244 305 314 488 610 628 785 976 1220 1256 1570 2440 2512 3140 4880 6280 9577 12560 14713 19154 29426 37463 38308 47885 58852 73565 74926 76616 95770 117704 147130 149852 153232 187315 191540 235408 294260 299704 374630 383080 588520 599408 749260 766160 897493 1177040 1498520 1794986 2285243 2309941 2997040 3589972 4487465 4570486 4619882 5881691 7179944 8974930 9140972 9239764 11426215 11549705 11763382 14359888 17949860 18281944 18479528 22852430 23099410 23526764 29408455 35899720 36563888 36959056 45704860 46198820 47053528 58816910 71799440 91409720 92397640 94107056 117633820 140906401 182819440 184795280 235267640 281812802 358783151 470535280 551193119 563625604 704532005 717566302 1102386238 1127251208 1409064010 1435132604 1793915755 2204772476 2254502416 2755965595 2818128020 2870265208 3587831510 4409544952 5511931190 5636256040 5740530416 7175663020 8819089904 11023862380 11272512080 14351326040 22047724760 28702652080 33622780259 44095449520 67245560518 86537319683 134491121036 168113901295 173074639366 268982242072 336227802590 346149278732 432686598415 537964484144 672455605180 692298557464 865373196830 1344911210360 1384597114928 1730746393660 2689822420720 3461492787320 5278776500663 6922985574640 10557553001326 21115106002652 26393882503315 42230212005304 52787765006630 84460424010608 105575530013260 211151060026520 422302120053040