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42264280000 = 26544722481
BaseRepresentation
bin100111010111001001…
…011011101111000000
311001002110200212201201
4213113021123233000
51143024123430000
631225502110544
73024230311135
oct472711335700
9131073625651
1042264280000
1116a190a2128
12823627b454
133ca71cc007
14208d1bc58c
15117569e96a
hex9d725bbc0

42264280000 has 140 divisors (see below), whose sum is σ = 107036262432. Its totient is φ = 16545280000.

The previous prime is 42264279973. The next prime is 42264280027. The reversal of 42264280000 is 8246224.

It is an interprime number because it is at equal distance from previous prime (42264279973) and next prime (42264280027).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1868760 + ... + 1891240.

Almost surely, 242264280000 is an apocalyptic number.

42264280000 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 42264280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53518131216).

42264280000 is an abundant number, since it is smaller than the sum of its proper divisors (64771982432).

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

42264280000 is an equidigital number, since it uses as much as digits as its factorization.

42264280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22560 (or 22535 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 42264280000 in words is "forty-two billion, two hundred sixty-four million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 160 188 200 235 250 320 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1600 1880 2000 2350 2500 3008 3760 4000 4700 5000 5875 7520 8000 9400 10000 11750 15040 18800 20000 22481 23500 29375 37600 40000 44962 47000 58750 75200 89924 94000 112405 117500 179848 188000 224810 235000 359696 376000 449620 470000 562025 719392 899240 940000 1056607 1124050 1438784 1798480 1880000 2113214 2248100 2810125 3596960 4226428 4496200 5283035 5620250 7193920 8452856 8992400 10566070 11240500 14050625 16905712 17984800 21132140 22481000 26415175 28101250 33811424 35969600 42264280 44962000 52830350 56202500 67622848 84528560 89924000 105660700 112405000 132075875 169057120 179848000 211321400 224810000 264151750 338114240 422642800 449620000 528303500 660379375 845285600 899240000 1056607000 1320758750 1690571200 2113214000 2641517500 4226428000 5283035000 8452856000 10566070000 21132140000 42264280000