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2240400444400 = 245217931290509
BaseRepresentation
bin100000100110100010010…
…001011100101111110000
321221011212100200202102001
4200212202101130233300
5243201320003210100
64433120432503344
7320602132365166
oct40464221345760
97834770622361
102240400444400
1179416a709908
123022556aab54
131333658a1741
147a6163bb236
153d428188d6a
hex209a245cbf0

2240400444400 has 60 divisors (see below), whose sum is σ = 5412632419800. Its totient is φ = 891153667840.

The previous prime is 2240400444349. The next prime is 2240400444413. The reversal of 2240400444400 is 44440040422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15573655 + ... + 15716854.

It is an arithmetic number, because the mean of its divisors is an integer number (90210540330).

Almost surely, 22240400444400 is an apocalyptic number.

2240400444400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240400444400 is an abundant number, since it is smaller than the sum of its proper divisors (3172231975400).

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

2240400444400 is a wasteful number, since it uses less digits than its factorization.

2240400444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31290706 (or 31290695 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2240400444400 its reverse (44440040422), we get a palindrome (2284840484822).

The spelling of 2240400444400 in words is "two trillion, two hundred forty billion, four hundred million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 35800 71600 31290509 62581018 125162036 156452545 250324072 312905090 500648144 625810180 782262725 1251620360 1564525450 2503240720 3129050900 5601001111 6258101800 11202002222 12516203600 22404004444 28005005555 44808008888 56010011110 89616017776 112020022220 140025027775 224040044440 280050055550 448080088880 560100111100 1120200222200 2240400444400