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422211210423040 = 285598236793099
BaseRepresentation
bin101111111111111111011010…
…1001101111010101100000000
32001100220222221012020122122101
41133333332311031322230000
5420320002024332014130
64053545052530320144
7154634516250310363
oct13777766515725400
92040828835218571
10422211210423040
11112590850295445
123b42b440129054
1315178466aa5c1c
1476391bb2400da
1533c2a386bd1ca
hex17fffb537ab00

422211210423040 has 144 divisors (see below), whose sum is σ = 1029718749024000. Its totient is φ = 165820283006976.

The previous prime is 422211210422999. The next prime is 422211210423061. The reversal of 422211210423040 is 40324012112224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58756411 + ... + 65549509.

It is an arithmetic number, because the mean of its divisors is an integer number (7150824646000).

Almost surely, 2422211210423040 is an apocalyptic number.

422211210423040 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 422211210423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514859374512000).

422211210423040 is an abundant number, since it is smaller than the sum of its proper divisors (607507538600960).

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

422211210423040 is an equidigital number, since it uses as much as digits as its factorization.

422211210423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794002 (or 6793988 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 422211210423040 its reverse (40324012112224), we get a palindrome (462535222535264).

The spelling of 422211210423040 in words is "four hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 256 295 320 472 590 640 823 944 1180 1280 1646 1888 2360 3292 3776 4115 4720 6584 7552 8230 9440 13168 15104 16460 18880 26336 32920 37760 48557 52672 65840 75520 97114 105344 131680 194228 210688 242785 263360 388456 485570 526720 776912 971140 1053440 1553824 1942280 3107648 3884560 6215296 6793099 7769120 12430592 13586198 15538240 27172396 31076480 33965495 54344792 62152960 67930990 108689584 135861980 217379168 271723960 400792841 434758336 543447920 801585682 869516672 1086895840 1603171364 1739033344 2003964205 2173791680 3206342728 4007928410 4347583360 5590720477 6412685456 8015856820 8695166720 11181440954 12825370912 16031713640 22362881908 25650741824 27953602385 32063427280 44725763816 51301483648 55907204770 64126854560 89451527632 102602967296 111814409540 128253709120 178903055264 223628819080 256507418240 329852508143 357806110528 447257638160 513014836480 659705016286 715612221056 894515276320 1319410032572 1431224442112 1649262540715 1789030552640 2638820065144 3298525081430 3578061105280 5277640130288 6597050162860 7156122210560 10555280260576 13194100325720 21110560521152 26388200651440 42221121042304 52776401302880 84442242084608 105552802605760 211105605211520 422211210423040