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1411001400 = 2335223310093
BaseRepresentation
bin101010000011010…
…0010110000111000
310122100001022001010
41110012202300320
510342204021100
6352002353520
746652212464
oct12406426070
93570038033
101411001400
11664523266
1233465b8a0
13196431093
14d55774a4
1583d19750
hex541a2c38

1411001400 has 96 divisors (see below), whose sum is σ = 4393312560. Its totient is φ = 374615040.

The previous prime is 1411001359. The next prime is 1411001407. The reversal of 1411001400 is 41001141.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411001407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134754 + ... + 144846.

Almost surely, 21411001400 is an apocalyptic number.

1411001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196656280).

1411001400 is an abundant number, since it is smaller than the sum of its proper divisors (2982311160).

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

1411001400 is a wasteful number, since it uses less digits than its factorization.

1411001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1411001400 is about 37563.2985772017. The cubic root of 1411001400 is about 1121.6115724218.

Adding to 1411001400 its reverse (41001141), we get a palindrome (1452002541).

The spelling of 1411001400 in words is "one billion, four hundred eleven million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 233 300 466 600 699 932 1165 1398 1864 2330 2796 3495 4660 5592 5825 6990 9320 10093 11650 13980 17475 20186 23300 27960 30279 34950 40372 46600 50465 60558 69900 80744 100930 121116 139800 151395 201860 242232 252325 302790 403720 504650 605580 756975 1009300 1211160 1513950 2018600 2351669 3027900 4703338 6055800 7055007 9406676 11758345 14110014 18813352 23516690 28220028 35275035 47033380 56440056 58791725 70550070 94066760 117583450 141100140 176375175 235166900 282200280 352750350 470333800 705500700 1411001400