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42289022121300 = 223252142837328961
BaseRepresentation
bin10011001110110001011100…
…01001000011010101010100
312112201210100122212212111200
421213120232021003111110
521020330404130340200
6225535150352232500
711623165251044043
oct1147305611032524
9175653318785450
1042289022121300
1112524745573429
1248aba8bb3b730
131a79ab74a9c06
14a62b2a11855a
154d507b738800
hex26762e243554

42289022121300 has 108 divisors (see below), whose sum is σ = 132553921394076. Its totient is φ = 11276959334400.

The previous prime is 42289022121257. The next prime is 42289022121323. The reversal of 42289022121300 is 312122098224.

It is a happy number.

42289022121300 is a `hidden beast` number, since 4 + 2 + 28 + 90 + 221 + 21 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5907641358096 + 36381380763204 = 2430564^2 + 6031698^2 .

It is a super-2 number, since 2×422890221213002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128388820 + ... + 128717780.

Almost surely, 242289022121300 is an apocalyptic number.

It is an amenable number.

42289022121300 is an abundant number, since it is smaller than the sum of its proper divisors (90264899272776).

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

42289022121300 is a wasteful number, since it uses less digits than its factorization.

42289022121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471818 (or 471808 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42289022121300 in words is "forty-two trillion, two hundred eighty-nine billion, twenty-two million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 142837 285674 328961 428511 571348 657922 714185 857022 986883 1285533 1315844 1428370 1644805 1714044 1973766 2142555 2571066 2856740 2960649 3289610 3570925 3947532 4285110 4934415 5142132 5921298 6427665 6579220 7141850 8224025 8570220 9868830 10712775 11842596 12855330 14283700 14803245 16448050 19737660 21425550 24672075 25710660 29606490 32138325 32896100 42851100 49344150 59212980 64276650 74016225 98688300 128553300 148032450 296064900 46987802357 93975604714 140963407071 187951209428 234939011785 281926814142 422890221213 469878023570 563853628284 704817035355 845780442426 939756047140 1174695058925 1409634070710 1691560884852 2114451106065 2349390117850 2819268141420 3524085176775 4228902212130 4698780235700 7048170353550 8457804424260 10572255530325 14096340707100 21144511060650 42289022121300