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114103153552140 = 2232523149184974149
BaseRepresentation
bin11001111100011010110101…
…111011110110101100001100
3112222000011011221211212120100
4121330122311323312230030
5104423431224302132030
61042402133132251100
733014452341330024
oct3174326573665414
9488004157755510
10114103153552140
11333a196a5762a5
1210969b57310a90
134b88b5c0347bc
14202689d078a84
15d2d1416cd360
hex67c6b5ef6b0c

114103153552140 has 144 divisors (see below), whose sum is σ = 363585189240000. Its totient is φ = 28909239642624.

The previous prime is 114103153552081. The next prime is 114103153552169. The reversal of 114103153552140 is 41255351301411.

114103153552140 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 31 + 535 + 52 + 1 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114103153552095 and 114103153552104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91870215 + ... + 93103934.

It is an arithmetic number, because the mean of its divisors is an integer number (2524897147500).

Almost surely, 2114103153552140 is an apocalyptic number.

114103153552140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114103153552140 is an abundant number, since it is smaller than the sum of its proper divisors (249482035687860).

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

114103153552140 is a wasteful number, since it uses less digits than its factorization.

114103153552140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184974336 (or 184974331 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 114103153552140 in words is "one hundred fourteen trillion, one hundred three billion, one hundred fifty-three million, five hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 149 180 207 230 276 298 345 414 447 460 596 690 745 828 894 1035 1341 1380 1490 1788 2070 2235 2682 2980 3427 4140 4470 5364 6705 6854 8940 10281 13410 13708 17135 20562 26820 30843 34270 41124 51405 61686 68540 102810 123372 154215 205620 308430 616860 184974149 369948298 554922447 739896596 924870745 1109844894 1664767341 1849741490 2219689788 2774612235 3329534682 3699482980 4254405427 5549224470 6659069364 8323836705 8508810854 11098448940 12763216281 16647673410 17017621708 21272027135 25526432562 27561148201 33295346820 38289648843 42544054270 51052865124 55122296402 63816081405 76579297686 82683444603 85088108540 110244592804 127632162810 137805741005 153158595372 165366889206 191448244215 248050333809 255264325620 275611482010 330733778412 382896488430 413417223015 496100667618 551222964020 633906408623 765792976860 826834446030 992201335236 1240251669045 1267812817246 1653668892060 1901719225869 2480503338090 2535625634492 3169532043115 3803438451738 4961006676180 5705157677607 6339064086230 7606876903476 9508596129345 11410315355214 12678128172460 19017192258690 22820630710428 28525788388035 38034384517380 57051576776070 114103153552140