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120541545540 = 223251363238147
BaseRepresentation
bin111000001000011010…
…1100000010001000100
3102112010202011222022200
41300100311200101010
53433332113424130
6131213115354500
711465063142243
oct1602065402104
9375122158280
10120541545540
1147137618319
121b441152a30
13b4a0457610
145b9723495a
1532077c8760
hex1c10d60444

120541545540 has 144 divisors (see below), whose sum is σ = 393879665088. Its totient is φ = 29663430912.

The previous prime is 120541545539. The next prime is 120541545611. The reversal of 120541545540 is 45545145021.

120541545540 is a `hidden beast` number, since 1 + 2 + 0 + 54 + 1 + 54 + 554 + 0 = 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 = 120541545495 and 120541545504.

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, 14791747 + ... + 14799893.

It is an arithmetic number, because the mean of its divisors is an integer number (2735275452).

Almost surely, 2120541545540 is an apocalyptic number.

120541545540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120541545540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196939832544).

120541545540 is an abundant number, since it is smaller than the sum of its proper divisors (273338119548).

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

120541545540 is a wasteful number, since it uses less digits than its factorization.

120541545540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14498 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 120541545540 in words is "one hundred twenty billion, five hundred forty-one million, five hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6323 8147 12646 16294 18969 24441 25292 31615 32588 37938 40735 48882 56907 63230 73323 75876 81470 82199 94845 97764 105911 113814 122205 126460 146646 162940 164398 189690 211822 227628 244410 246597 284535 293292 317733 328796 366615 379380 410995 423644 488820 493194 529555 569070 635466 733230 739791 821990 953199 986388 1059110 1138140 1232985 1270932 1466460 1479582 1588665 1643980 1906398 2118220 2465970 2959164 3177330 3698955 3812796 4765995 4931940 6354660 7397910 9531990 14795820 19063980 51513481 103026962 154540443 206053924 257567405 309080886 463621329 515134810 618161772 669675253 772702215 927242658 1030269620 1339350506 1545404430 1854485316 2009025759 2318106645 2678701012 3090808860 3348376265 4018051518 4636213290 6027077277 6696752530 8036103036 9272426580 10045128795 12054154554 13393505060 20090257590 24108309108 30135386385 40180515180 60270772770 120541545540