Search a number
-
+
401440132200 = 233524431510309
BaseRepresentation
bin1011101011101111011…
…00100100110001101000
31102101012001102122222110
411311313230210301220
523034122133212300
6504230303122320
741001026552112
oct5656754446150
91371161378873
10401440132200
11145282541aa8
12659755a33a0
132bb17acb883
14156035603b2
15a698069550
hex5d77b24c68

401440132200 has 96 divisors (see below), whose sum is σ = 1247274410400. Its totient is φ = 106808981760.

The previous prime is 401440132141. The next prime is 401440132243. The reversal of 401440132200 is 2231044104.

It is a super-2 number, since 2×4014401322002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489355 + ... + 1020954.

It is an arithmetic number, because the mean of its divisors is an integer number (12992441775).

Almost surely, 2401440132200 is an apocalyptic number.

401440132200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401440132200 is an abundant number, since it is smaller than the sum of its proper divisors (845834278200).

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

401440132200 is a wasteful number, since it uses less digits than its factorization.

401440132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510771 (or 1510762 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 401440132200 its reverse (2231044104), we get a palindrome (403671176304).

The spelling of 401440132200 in words is "four hundred one billion, four hundred forty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 443 600 886 1329 1772 2215 2658 3544 4430 5316 6645 8860 10632 11075 13290 17720 22150 26580 33225 44300 53160 66450 88600 132900 265800 1510309 3020618 4530927 6041236 7551545 9061854 12082472 15103090 18123708 22654635 30206180 36247416 37757725 45309270 60412360 75515450 90618540 113273175 151030900 181237080 226546350 302061800 453092700 669066887 906185400 1338133774 2007200661 2676267548 3345334435 4014401322 5352535096 6690668870 8028802644 10036003305 13381337740 16057605288 16726672175 20072006610 26762675480 33453344350 40144013220 50180016525 66906688700 80288026440 100360033050 133813377400 200720066100 401440132200