Search a number
-
+
40160246310 = 2345172171559
BaseRepresentation
bin100101011001101111…
…001011101000100110
310211122211120220010000
4211121233023220212
51124222010340220
630241021242130
72621131314132
oct453157135046
9124584526100
1040160246310
1116039459508
127949703346
133a3032b172
141d2d9a23c2
1510a0adc390
hex959bcba26

40160246310 has 120 divisors (see below), whose sum is σ = 114712907760. Its totient is φ = 10079375616.

The previous prime is 40160246303. The next prime is 40160246377. The reversal of 40160246310 is 1364206104.

40160246310 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 0 + 24 + 631 + 0 = 666.

It is a super-2 number, since 2×401602463102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 148311 + ... + 319869.

It is an arithmetic number, because the mean of its divisors is an integer number (955940898).

Almost surely, 240160246310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40160246310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57356453880).

40160246310 is an abundant number, since it is smaller than the sum of its proper divisors (74552661450).

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

40160246310 is a wasteful number, since it uses less digits than its factorization.

40160246310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171612 (or 171586 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 40160246310 in words is "forty billion, one hundred sixty million, two hundred forty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 289 306 405 459 510 578 765 810 867 918 1377 1445 1530 1734 2295 2601 2754 2890 4335 4590 5202 6885 7803 8670 13005 13770 15606 23409 26010 39015 46818 78030 117045 171559 234090 343118 514677 857795 1029354 1544031 1715590 2573385 2916503 3088062 4632093 5146770 5833006 7720155 8749509 9264186 13896279 14582515 15440310 17499018 23160465 26248527 27792558 29165030 43747545 46320930 49580551 52497054 69481395 78745581 87495090 99161102 131242635 138962790 148741653 157491162 236236743 247902755 262485270 297483306 393727905 446224959 472473486 495805510 743708265 787455810 892449918 1181183715 1338674877 1487416530 2231124795 2362367430 2677349754 4016024631 4462249590 6693374385 8032049262 13386748770 20080123155 40160246310