Search a number
-
+
401216115040 = 255131167716519
BaseRepresentation
bin1011101011010100101…
…10000001000101100000
31102100121102220102012121
411311222112001011200
523033142311140130
6504152141434024
740662336464626
oct5655226010540
91370542812177
10401216115040
11145178045654
126591256b914
132bab0585840
14155c18c9516
15a683568d7a
hex5d6a581160

401216115040 has 96 divisors (see below), whose sum is σ = 1020935603520. Its totient is φ = 148119681024.

The previous prime is 401216115011. The next prime is 401216115059. The reversal of 401216115040 is 40511612104.

It is a junction number, because it is equal to n+sod(n) for n = 401216114996 and 401216115014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24279901 + ... + 24296419.

It is an arithmetic number, because the mean of its divisors is an integer number (10634745870).

Almost surely, 2401216115040 is an apocalyptic number.

401216115040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401216115040 is an abundant number, since it is smaller than the sum of its proper divisors (619719488480).

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

401216115040 is a wasteful number, since it uses less digits than its factorization.

401216115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28224 (or 28216 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 401216115040 its reverse (40511612104), we get a palindrome (441727727144).

The spelling of 401216115040 in words is "four hundred one billion, two hundred sixteen million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 11677 16519 23354 33038 46708 58385 66076 82595 93416 116770 132152 151801 165190 186832 214747 233540 264304 303602 330380 373664 429494 467080 528608 607204 660760 759005 858988 934160 1073735 1214408 1321520 1518010 1717976 1868320 2147470 2428816 2643040 3036020 3435952 4294940 4857632 6072040 6871904 8589880 12144080 17179760 24288160 34359520 192892363 385784726 771569452 964461815 1543138904 1928923630 2507600719 3086277808 3857847260 5015201438 6172555616 7715694520 10030402876 12538003595 15431389040 20060805752 25076007190 30862778080 40121611504 50152014380 80243223008 100304028760 200608057520 401216115040