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4160145132 = 223211133592251
BaseRepresentation
bin1111011111110110…
…1100011011101100
3101201221001021021100
43313331230123230
532004444121012
61524450203100
7205043436003
oct36775543354
911657037240
104160145132
111845325680
12981283490
13513b63250
142b671dc3a
1519535a8dc
hexf7f6c6ec

4160145132 has 144 divisors (see below), whose sum is σ = 12394287360. Its totient is φ = 1159920000.

The previous prime is 4160145109. The next prime is 4160145181. The reversal of 4160145132 is 2315410614.

It is a happy number.

4160145132 is a `hidden beast` number, since 4 + 1 + 601 + 4 + 51 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4160145096 and 4160145105.

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, 1847007 + ... + 1849257.

It is an arithmetic number, because the mean of its divisors is an integer number (86071440).

Almost surely, 24160145132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160145132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197143680).

4160145132 is an abundant number, since it is smaller than the sum of its proper divisors (8234142228).

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

4160145132 is a wasteful number, since it uses less digits than its factorization.

4160145132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4160145132 is about 64499.1870646445. The cubic root of 4160145132 is about 1608.3090062941.

Adding to 4160145132 its reverse (2315410614), we get a palindrome (6475555746).

The spelling of 4160145132 in words is "four billion, one hundred sixty million, one hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 359 396 429 468 572 718 858 1077 1287 1436 1716 2154 2251 2574 3231 3949 4308 4502 4667 5148 6462 6753 7898 9004 9334 11847 12924 13506 14001 15796 18668 20259 23694 24761 27012 28002 29263 35541 40518 42003 47388 49522 51337 56004 58526 71082 74283 81036 84006 87789 99044 102674 117052 142164 148566 154011 168012 175578 205348 222849 263367 297132 308022 321893 351156 445698 462033 526734 616044 643786 808109 891396 924066 965679 1053468 1287572 1616218 1848132 1931358 2424327 2897037 3232436 3862716 4848654 5794074 7272981 8889199 9697308 10505417 11588148 14545962 17778398 21010834 26667597 29091924 31516251 35556796 42021668 53335194 63032502 80002791 94548753 106670388 115559587 126065004 160005582 189097506 231119174 320011164 346678761 378195012 462238348 693357522 1040036283 1386715044 2080072566 4160145132