Search a number
-
+
40163675587180 = 22523601444132713
BaseRepresentation
bin10010010000111010101011…
…00111011100001001101100
312021012121110121102100000221
421020131111213130021230
520231020201422242210
6221230534324101124
711313505215425365
oct1110352547341154
9167177417370027
1040163675587180
1111885356893292
124607ba58347a4
13195455918b132
149cbd0a216b6c
15499b391ec1da
hex2487559dc26c

40163675587180 has 96 divisors (see below), whose sum is σ = 88179823847808. Its totient is φ = 15337479168000.

The previous prime is 40163675587169. The next prime is 40163675587241. The reversal of 40163675587180 is 8178557636104.

It is a super-2 number, since 2×401636755871802 (a number of 28 digits) contains 22 as substring.

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, 1227742504 + ... + 1227775216.

It is an arithmetic number, because the mean of its divisors is an integer number (918539831748).

Almost surely, 240163675587180 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 40163675587180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44089911923904).

40163675587180 is an abundant number, since it is smaller than the sum of its proper divisors (48016148260628).

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

40163675587180 is a wasteful number, since it uses less digits than its factorization.

40163675587180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37787 (or 37785 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 40163675587180 in words is "forty trillion, one hundred sixty-three billion, six hundred seventy-five million, five hundred eighty-seven thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 601 1202 2404 3005 4441 6010 8882 12020 13823 17764 22205 27646 32713 44410 55292 65426 69115 88820 102143 130852 138230 163565 204286 276460 327130 408572 510715 654260 752399 1021430 1504798 2042860 2669041 3009596 3761995 5338082 7523990 10676164 13345205 15047980 19660513 26690410 39321026 53380820 61387943 78642052 98302565 122775886 145278433 196605130 245551772 290556866 306939715 393210260 452191799 581113732 613879430 726392165 904383598 1227758860 1452784330 1808767196 2260958995 2905568660 3341403959 4521917990 6682807918 9043835980 13365615836 16707019795 33414039590 66828079180 87312338233 174624676466 349249352932 436561691165 873123382330 1746246764660 2008183779359 4016367558718 8032735117436 10040918896795 20081837793590 40163675587180