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142912542634400 = 25527112320008809
BaseRepresentation
bin100000011111101001101011…
…010101100111000110100000
3200202000022020211001022121102
4200133221223111213012200
5122212434341403300100
61223541040555413532
742050043014144660
oct4037515325470640
9622008224038542
10142912542634400
114159996165a780
12140414a94542a8
136198797127416
14274100ac741a0
15117c73ac01cd5
hex81fa6b5671a0

142912542634400 has 144 divisors (see below), whose sum is σ = 434973811769280. Its totient is φ = 44544169113600.

The previous prime is 142912542634271. The next prime is 142912542634429. The reversal of 142912542634400 is 4436245219241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159942805 + ... + 1160066004.

It is an arithmetic number, because the mean of its divisors is an integer number (3020651470620).

Almost surely, 2142912542634400 is an apocalyptic number.

142912542634400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142912542634400 is an abundant number, since it is smaller than the sum of its proper divisors (292061269134880).

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

142912542634400 is a wasteful number, since it uses less digits than its factorization.

142912542634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320008847 (or 2320008834 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 142912542634400 in words is "one hundred forty-two trillion, nine hundred twelve billion, five hundred forty-two million, six hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 160 175 176 200 220 224 275 280 308 350 352 385 400 440 550 560 616 700 770 800 880 1100 1120 1232 1400 1540 1760 1925 2200 2464 2800 3080 3850 4400 5600 6160 7700 8800 12320 15400 30800 61600 2320008809 4640017618 9280035236 11600044045 16240061663 18560070472 23200088090 25520096899 32480123326 37120140944 46400176180 51040193798 58000220225 64960246652 74240281888 81200308315 92800352360 102080387596 116000440450 127600484495 129920493304 162400616630 178640678293 185600704720 204160775192 232000880900 255200968990 259840986608 324801233260 357281356586 371201409440 406001541575 408321550384 464001761800 510401937980 519681973216 638002422475 649602466520 714562713172 812003083150 816643100768 893203391465 928003523600 1020803875960 1276004844950 1299204933040 1429125426344 1624006166300 1786406782930 1856007047200 2041607751920 2552009689900 2598409866080 2858250852688 3248012332600 3572813565860 4083215503840 4466016957325 5104019379800 5716501705376 6496024665200 7145627131720 8932033914650 10208038759600 12992049330400 14291254263440 17864067829300 20416077519200 28582508526880 35728135658600 71456271317200 142912542634400