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142355451346320 = 243523101255336941
BaseRepresentation
bin100000010111100010110110…
…000110111111110110010000
3200200001001022011111200020210
4200113202312012333312100
5122124322431021040240
61222433105212004120
741661561535264302
oct4027426606776620
9620031264450223
10142355451346320
11413a46760a4573
1213b71534760640
1361580a50506a4
14272207d5dd972
15116ced2dcb780
hex8178b61bfd90

142355451346320 has 160 divisors (see below), whose sum is σ = 465048236507904. Its totient is φ = 35951441152000.

The previous prime is 142355451346289. The next prime is 142355451346357. The reversal of 142355451346320 is 23643154553241.

142355451346320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 142355451346320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127110951 + ... + 128225990.

Almost surely, 2142355451346320 is an apocalyptic number.

142355451346320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142355451346320 is an abundant number, since it is smaller than the sum of its proper divisors (322692785161584).

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

142355451346320 is a wasteful number, since it uses less digits than its factorization.

142355451346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255337081 (or 255337075 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 142355451346320 in words is "one hundred forty-two trillion, three hundred fifty-five billion, four hundred fifty-one million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 101 115 120 138 184 202 230 240 276 303 345 368 404 460 505 552 606 690 808 920 1010 1104 1212 1380 1515 1616 1840 2020 2323 2424 2760 3030 4040 4646 4848 5520 6060 6969 8080 9292 11615 12120 13938 18584 23230 24240 27876 34845 37168 46460 55752 69690 92920 111504 139380 185840 278760 557520 255336941 510673882 766010823 1021347764 1276684705 1532021646 2042695528 2553369410 3064043292 3830054115 4085391056 5106738820 5872749643 6128086584 7660108230 10213477640 11745499286 12256173168 15320216460 17618248929 20426955280 23490998572 25789031041 29363748215 30640432920 35236497858 46981997144 51578062082 58727496430 61280865840 70472995716 77367093123 88091244645 93963994288 103156124164 117454992860 128945155205 140945991432 154734186246 176182489290 206312248328 234909985720 257890310410 281891982864 309468372492 352364978580 386835465615 412624496656 469819971440 515780620820 593147713943 618936744984 704729957160 773670931230 1031561241640 1186295427886 1237873489968 1409459914320 1547341862460 1779443141829 2063122483280 2372590855772 2965738569715 3094683724920 3558886283658 4745181711544 5931477139430 6189367449840 7117772567316 8897215709145 9490363423088 11862954278860 14235545134632 17794431418290 23725908557720 28471090269264 35588862836580 47451817115440 71177725673160 142355451346320