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10426143420336 = 2437193643448303
BaseRepresentation
bin1001011110111000011010…
…0100110010111110110000
31100220201200212020222110110
42113232012210302332300
52331310220203422321
634101412033301320
72124156360554550
oct227560644627660
940821625228413
1010426143420336
11335a780174026
1212047a6404840
135a8247b74347
142808b147b160
1513131bac0176
hex97b86932fb0

10426143420336 has 160 divisors (see below), whose sum is σ = 32411016355840. Its totient is φ = 2821333047552.

The previous prime is 10426143420323. The next prime is 10426143420347. The reversal of 10426143420336 is 63302434162401.

It is a junction number, because it is equal to n+sod(n) for n = 10426143420294 and 10426143420303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23032761 + ... + 23481063.

It is an arithmetic number, because the mean of its divisors is an integer number (202568852224).

Almost surely, 210426143420336 is an apocalyptic number.

10426143420336 is a gapful number since it is divisible by the number (16) 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 10426143420336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205508177920).

10426143420336 is an abundant number, since it is smaller than the sum of its proper divisors (21984872935504).

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

10426143420336 is a wasteful number, since it uses less digits than its factorization.

10426143420336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451983 (or 451977 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 10426143420336 its reverse (63302434162401), we get a palindrome (73728577582737).

The spelling of 10426143420336 in words is "ten trillion, four hundred twenty-six billion, one hundred forty-three million, four hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 3643 6384 7286 10929 14572 21858 25501 29144 43716 51002 58288 69217 76503 87432 102004 138434 153006 174864 204008 207651 276868 306012 408016 415302 448303 484519 553736 612024 830604 896606 969038 1107472 1224048 1344909 1453557 1661208 1793212 1938076 2689818 2907114 3138121 3322416 3586424 3876152 5379636 5814228 6276242 7172848 7752304 8517757 9414363 10759272 11628456 12552484 17035514 18828726 21518544 23256912 25104968 25553271 34071028 37657452 50209936 51106542 59624299 68142056 75314904 102213084 119248598 136284112 150629808 178872897 204426168 238497196 357745794 408852336 476994392 715491588 953988784 1430983176 1633167829 2861966352 3266335658 4899503487 6532671316 9799006974 11432174803 13065342632 19598013948 22864349606 26130685264 31030188751 34296524409 39196027896 45728699212 62060377502 68593048818 78392055792 91457398424 93090566253 124120755004 137186097636 182914796848 186181132506 217211321257 248241510008 274372195272 372362265012 434422642514 496483020016 548744390544 651633963771 744724530024 868845285028 1303267927542 1489449060048 1737690570056 2606535855084 3475381140112 5213071710168 10426143420336