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2414411424100 = 2252131857239557
BaseRepresentation
bin100011001000100110001…
…000101010000101100100
322112211000111001102022001
4203020212020222011210
5304024203311032400
65045055412015044
7336302236326544
oct43104610520544
98484014042261
102414411424100
11850a4533a435
1232bb19601484
131468a77c29a0
1484c02a25324
1542c0ebc7a6a
hex2322622a164

2414411424100 has 36 divisors (see below), whose sum is σ = 5642293777204. Its totient is φ = 891474986880.

The previous prime is 2414411424041. The next prime is 2414411424107. The reversal of 2414411424100 is 14241144142.

It can be written as a sum of positive squares in 6 ways, for example, as 203141306944 + 2211270117156 = 450712^2 + 1487034^2 .

It is not an unprimeable number, because it can be changed into a prime (2414411424107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928618479 + ... + 928621078.

Almost surely, 22414411424100 is an apocalyptic number.

2414411424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414411424100 is an abundant number, since it is smaller than the sum of its proper divisors (3227882353104).

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

2414411424100 is a wasteful number, since it uses less digits than its factorization.

2414411424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857239584 (or 1857239577 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 2414411424100 its reverse (14241144142), we get a palindrome (2428652568242).

The spelling of 2414411424100 in words is "two trillion, four hundred fourteen billion, four hundred eleven million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1857239557 3714479114 7428958228 9286197785 18572395570 24144114241 37144791140 46430988925 48288228482 92861977850 96576456964 120720571205 185723955700 241441142410 482882284820 603602856025 1207205712050 2414411424100