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42423532553200 = 24521931883175079
BaseRepresentation
bin10011010010101011111111…
…00101101000001111110000
312120012122112220222210111211
421221111333211220033300
521030031343313200300
6230121033553445504
711635666453620451
oct1151257745501760
9176178486883454
1042423532553200
11125767a0168827
124911b6b270894
131a896a296b556
14a6944a647128
154d880054b4ba
hex26957f9683f0

42423532553200 has 120 divisors (see below), whose sum is σ = 107290858838400. Its totient is φ = 16075689972480.

The previous prime is 42423532553183. The next prime is 42423532553203. The reversal of 42423532553200 is 235523532424.

It is a super-2 number, since 2×424235325532002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423532553203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242223261 + ... + 242398339.

It is an arithmetic number, because the mean of its divisors is an integer number (894090490320).

Almost surely, 242423532553200 is an apocalyptic number.

42423532553200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42423532553200 is an abundant number, since it is smaller than the sum of its proper divisors (64867326285200).

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

42423532553200 is a wasteful number, since it uses less digits than its factorization.

42423532553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206999 (or 206988 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 42423532553200 in words is "forty-two trillion, four hundred twenty-three billion, five hundred thirty-two million, five hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 31883 63766 127532 159415 175079 255064 318830 350158 510128 605777 637660 700316 797075 875395 1211554 1275320 1400632 1594150 1750790 2423108 2550640 2801264 3028885 3188300 3326501 3501580 4376975 4846216 6057770 6376600 6653002 7003160 8753950 9692432 12115540 12753200 13306004 14006320 15144425 16632505 17507900 24231080 26612008 30288850 33265010 35015800 48462160 53224016 60577700 66530020 70031600 83162525 121155400 133060040 166325050 242310800 266120080 332650100 665300200 1330600400 5582043757 11164087514 22328175028 27910218785 44656350056 55820437570 89312700112 106058831383 111640875140 139551093925 212117662766 223281750280 279102187850 424235325532 446563500560 530294156915 558204375700 848470651064 1060588313830 1116408751400 1696941302128 2121176627660 2232817502800 2651470784575 4242353255320 5302941569150 8484706510640 10605883138300 21211766276600 42423532553200