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42044440240 = 24511432394649
BaseRepresentation
bin100111001010000010…
…110011111010110000
311000112011000212021101
4213022002303322300
51142101334041430
631152010134144
73015620562655
oct471202637260
9130464025241
1042044440240
1116915a99280
128194721354
133c707b950a
14206bd13c2c
151161226dca
hex9ca0b3eb0

42044440240 has 160 divisors (see below), whose sum is σ = 109600128000. Its totient is φ = 14867650560.

The previous prime is 42044440231. The next prime is 42044440241. The reversal of 42044440240 is 4204444024.

It is a junction number, because it is equal to n+sod(n) for n = 42044440199 and 42044440208.

It is not an unprimeable number, because it can be changed into a prime (42044440241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9041436 + ... + 9046084.

It is an arithmetic number, because the mean of its divisors is an integer number (685000800).

Almost surely, 242044440240 is an apocalyptic number.

42044440240 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 42044440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800064000).

42044440240 is an abundant number, since it is smaller than the sum of its proper divisors (67555687760).

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

42044440240 is a wasteful number, since it uses less digits than its factorization.

42044440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42044440240 its reverse (4204444024), we get a palindrome (46248884264).

It can be divided in two parts, 42044 and 440240, that added together give a palindrome (482284).

The spelling of 42044440240 in words is "forty-two billion, forty-four million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 239 344 430 440 473 478 688 860 880 946 956 1195 1720 1892 1912 2365 2390 2629 3440 3784 3824 4649 4730 4780 5258 7568 9298 9460 9560 10277 10516 13145 18596 18920 19120 20554 21032 23245 26290 37192 37840 41108 42064 46490 51139 51385 52580 74384 82216 92980 102278 102770 105160 113047 164432 185960 199907 204556 205540 210320 226094 255695 371920 399814 409112 411080 452188 511390 565235 799628 818224 822160 904376 999535 1022780 1111111 1130470 1599256 1808752 1999070 2045560 2198977 2222222 2260940 3198512 3998140 4091120 4397954 4444444 4521880 5555555 7996280 8795908 8888888 9043760 10994885 11111110 12222221 15992560 17591816 17777776 21989770 22222220 24444442 35183632 43979540 44444440 47777773 48888884 61111105 87959080 88888880 95555546 97777768 122222210 175918160 191111092 195555536 238888865 244444420 382222184 477777730 488888840 525555503 764444368 955555460 977777680 1051111006 1911110920 2102222012 2627777515 3822221840 4204444024 5255555030 8408888048 10511110060 21022220120 42044440240