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10283494144 = 287112332239
BaseRepresentation
bin10011001001111000…
…11010101100000000
3222112200012121222111
421210330122230000
5132030033303034
64420230545104
7512556154330
oct114474325400
928480177874
1010283494144
1143a78453a0
121babb08194
13c7b6593a1
146d7a7b0c0
15402c0b364
hex264f1ab00

10283494144 has 144 divisors (see below), whose sum is σ = 25713192960. Its totient is φ = 3987578880.

The previous prime is 10283494139. The next prime is 10283494181. The reversal of 10283494144 is 44149438201.

It is a junction number, because it is equal to n+sod(n) for n = 10283494097 and 10283494106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4591777 + ... + 4594015.

It is an arithmetic number, because the mean of its divisors is an integer number (178563840).

Almost surely, 210283494144 is an apocalyptic number.

10283494144 is a gapful number since it is divisible by the number (14) 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 10283494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856596480).

10283494144 is an abundant number, since it is smaller than the sum of its proper divisors (15429698816).

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

10283494144 is a wasteful number, since it uses less digits than its factorization.

10283494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 10283494144 in words is "ten billion, two hundred eighty-three million, four hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 233 256 308 352 448 466 616 704 896 932 1232 1408 1631 1792 1864 2239 2464 2563 2816 3262 3728 4478 4928 5126 6524 7456 8956 9856 10252 13048 14912 15673 17912 17941 19712 20504 24629 26096 29824 31346 35824 35882 41008 49258 52192 59648 62692 71648 71764 82016 98516 104384 125384 143296 143528 164032 172403 197032 208768 250768 286592 287056 328064 344806 394064 417536 501536 521687 573184 574112 656128 689612 788128 1003072 1043374 1148224 1379224 1576256 2006144 2086748 2296448 2758448 3152512 3651809 4012288 4173496 4592896 5516896 5738557 6305024 7303618 8346992 11033792 11477114 14607236 16693984 22067584 22954228 29214472 33387968 40169899 44135168 45908456 58428944 66775936 80339798 91816912 116857888 133551872 160679596 183633824 233715776 321359192 367267648 467431552 642718384 734535296 934863104 1285436768 1469070592 2570873536 5141747072 10283494144