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42212279304 = 233313127118369
BaseRepresentation
bin100111010100000011…
…000100010000001000
311000221211211222012000
4213110003010100020
51142422320414204
631220403351000
73023026311456
oct472403042010
9130854758160
1042212279304
11169a1805248
128220982460
133c994c3080
1420863239d6
151170d2c039
hex9d40c4408

42212279304 has 128 divisors (see below), whose sum is σ = 127271424000. Its totient is φ = 12886013952.

The previous prime is 42212279303. The next prime is 42212279311. The reversal of 42212279304 is 40397221224.

It is a happy number.

42212279304 is a `hidden beast` number, since 422 + 1 + 227 + 9 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42212279303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297432 + ... + 415800.

It is an arithmetic number, because the mean of its divisors is an integer number (994308000).

Almost surely, 242212279304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42212279304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63635712000).

42212279304 is an abundant number, since it is smaller than the sum of its proper divisors (85059144696).

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

42212279304 is a wasteful number, since it uses less digits than its factorization.

42212279304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118524 (or 118514 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42212279304 in words is "forty-two billion, two hundred twelve million, two hundred seventy-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 127 156 216 234 254 312 351 381 468 508 702 762 936 1016 1143 1404 1524 1651 2286 2808 3048 3302 3429 4572 4953 6604 6858 9144 9906 13208 13716 14859 19812 27432 29718 39624 44577 59436 89154 118369 118872 178308 236738 355107 356616 473476 710214 946952 1065321 1420428 1538797 2130642 2840856 3077594 3195963 4261284 4616391 6155188 6391926 8522568 9232782 12310376 12783852 13849173 15032863 18465564 25567704 27698346 30065726 36931128 41547519 45098589 55396692 60131452 83095038 90197178 110793384 120262904 135295767 166190076 180394356 195427219 270591534 332380152 360788712 390854438 405887301 541183068 586281657 781708876 811774602 1082366136 1172563314 1563417752 1623549204 1758844971 2345126628 3247098408 3517689942 4690253256 5276534913 7035379884 10553069826 14070759768 21106139652 42212279304