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142941454585200 = 24335213235319869
BaseRepresentation
bin100000100000000100100110…
…100111111100110101110000
3200202010001212201222121002000
4200200010212213330311300
5122213423044333211300
61224002221523054000
742052115332523505
oct4040044647746560
9622101781877060
10142941454585200
1141600148701297
1214047017b11300
13619b423c6430b
1427425909b14ac
15117d37e055c00
hex8201269fcd70

142941454585200 has 120 divisors (see below), whose sum is σ = 508765695802800. Its totient is φ = 38117721219840.

The previous prime is 142941454585159. The next prime is 142941454585219. The reversal of 142941454585200 is 2585454149241.

142941454585200 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 4 + 1 + 4 + 54 + 585 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6617649135 + ... + 6617670734.

It is an arithmetic number, because the mean of its divisors is an integer number (4239714131690).

Almost surely, 2142941454585200 is an apocalyptic number.

142941454585200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142941454585200 is an abundant number, since it is smaller than the sum of its proper divisors (365824241217600).

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

142941454585200 is a wasteful number, since it uses less digits than its factorization.

142941454585200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13235319896 (or 13235319879 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 142941454585200 in words is "one hundred forty-two trillion, nine hundred forty-one billion, four hundred fifty-four million, five hundred eighty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 13235319869 26470639738 39705959607 52941279476 66176599345 79411919214 105882558952 119117878821 132353198690 158823838428 198529798035 211765117904 238235757642 264706397380 317647676856 330882996725 357353636463 397059596070 476471515284 529412794760 595589394105 635295353712 661765993450 714707272926 794119192140 952943030568 992648990175 1058825589520 1191178788210 1323531986900 1429414545852 1588238384280 1786768182315 1905886061136 1985297980350 2382357576420 2647063973800 2858829091704 2977946970525 3176476768560 3573536364630 3970595960700 4764715152840 5294127947600 5717658183408 5955893941050 7147072729260 7941191921400 8933840911575 9529430305680 11911787882100 14294145458520 15882383842800 17867681823150 23823575764200 28588290917040 35735363646300 47647151528400 71470727292600 142941454585200