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494294339840 = 2857349158071
BaseRepresentation
bin1110011000101100011…
…11010001000100000000
31202020212020000010220212
413030112033101010000
531044303322333330
61015024203053252
750466034364540
oct7142617210400
91666766003825
10494294339840
111806a12a5584
127b96a211228
13377c504a6c2
1419cd1553320
15cccec8c295
hex73163d1100

494294339840 has 144 divisors (see below), whose sum is σ = 1357016505600. Its totient is φ = 168985681920.

The previous prime is 494294339837. The next prime is 494294339879. The reversal of 494294339840 is 48933492494.

It is a super-2 number, since 2×4942943398402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 494294339840.

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, 3048005 + ... + 3206075.

Almost surely, 2494294339840 is an apocalyptic number.

494294339840 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 494294339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678508252800).

494294339840 is an abundant number, since it is smaller than the sum of its proper divisors (862722165760).

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

494294339840 is a wasteful number, since it uses less digits than its factorization.

494294339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158448 (or 158434 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 59.

The spelling of 494294339840 in words is "four hundred ninety-four billion, two hundred ninety-four million, three hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 349 448 560 640 698 896 1120 1280 1396 1745 1792 2240 2443 2792 3490 4480 4886 5584 6980 8960 9772 11168 12215 13960 19544 22336 24430 27920 39088 44672 48860 55840 78176 89344 97720 111680 156352 158071 195440 223360 312704 316142 390880 446720 625408 632284 781760 790355 1106497 1264568 1563520 1580710 2212994 2529136 3127040 3161420 4425988 5058272 5532485 6322840 8851976 10116544 11064970 12645680 17703952 20233088 22129940 25291360 35407904 40466176 44259880 50582720 55166779 70815808 88519760 101165440 110333558 141631616 177039520 202330880 220667116 275833895 283263232 354079040 386167453 441334232 551667790 708158080 772334906 882668464 1103335580 1416316160 1544669812 1765336928 1930837265 2206671160 3089339624 3530673856 3861674530 4413342320 6178679248 7061347712 7723349060 8826684640 12357358496 14122695424 15446698120 17653369280 24714716992 30893396240 35306738560 49429433984 61786792480 70613477120 98858867968 123573584960 247147169920 494294339840