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42242244440 = 23511538920353
BaseRepresentation
bin100111010101110101…
…010111111101011000
311001000221020100121212
4213111311113331120
51143003003310230
631223353522252
73023542103414
oct472565277530
9131027210555
1042242244440
1116a07711520
12822aa13388
133ca2785216
14208a2c3d44
15117379a895
hex9d5d57f58

42242244440 has 128 divisors (see below), whose sum is σ = 106834075200. Its totient is φ = 14900920320.

The previous prime is 42242244431. The next prime is 42242244491. The reversal of 42242244440 is 4444224224.

It is a junction number, because it is equal to n+sod(n) for n = 42242244397 and 42242244406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2065304 + ... + 2085656.

Almost surely, 242242244440 is an apocalyptic number.

42242244440 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 42242244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53417037600).

42242244440 is an abundant number, since it is smaller than the sum of its proper divisors (64591830760).

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

42242244440 is a wasteful number, since it uses less digits than its factorization.

42242244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20517 (or 20513 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42242244440 its reverse (4444224224), we get a palindrome (46686468664).

It can be divided in two parts, 42242 and 244440, that added together give a palindrome (286682).

The spelling of 42242244440 in words is "forty-two billion, two hundred forty-two million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 89 106 110 178 212 220 265 356 424 440 445 530 583 712 890 979 1060 1166 1780 1958 2120 2332 2915 3560 3916 4664 4717 4895 5830 7832 9434 9790 11660 18868 19580 20353 23320 23585 37736 39160 40706 47170 51887 81412 94340 101765 103774 162824 188680 203530 207548 223883 259435 407060 415096 447766 518870 814120 895532 1037740 1078709 1119415 1791064 1811417 2075480 2157418 2238830 3622834 4314836 4477660 5393545 7245668 8629672 8955320 9057085 10787090 11865799 14491336 18114170 19925587 21574180 23731598 36228340 39851174 43148360 47463196 59328995 72456680 79702348 94926392 96005101 99627935 118657990 159404696 192010202 199255870 237315980 384020404 398511740 474631960 480025505 768040808 797023480 960051010 1056056111 1920102020 2112112222 3840204040 4224224444 5280280555 8448448888 10560561110 21121122220 42242244440