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44200240400 = 2452532084917
BaseRepresentation
bin101001001010100010…
…100010010100010000
311020002101112212010202
4221022202202110100
51211010230143100
632145540314332
73123215562431
oct511242422420
9136071485122
1044200240400
11178219798a8
1286966a29a8
134225313804
1421d4367488
15123a6127d5
hexa4a8a2510

44200240400 has 60 divisors (see below), whose sum is σ = 108194734692. Its totient is φ = 17346501120.

The previous prime is 44200240373. The next prime is 44200240421. The reversal of 44200240400 is 404200244.

It can be written as a sum of positive squares in 6 ways, for example, as 2660909056 + 41539331344 = 51584^2 + 203812^2 .

It is a super-2 number, since 2×442002404002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1021259 + ... + 1063658.

Almost surely, 244200240400 is an apocalyptic number.

44200240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44200240400 is an abundant number, since it is smaller than the sum of its proper divisors (63994494292).

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

44200240400 is a wasteful number, since it uses less digits than its factorization.

44200240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084988 (or 2084977 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 44200240400 its reverse (404200244), we get a palindrome (44604440644).

The spelling of 44200240400 in words is "forty-four billion, two hundred million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 2084917 4169834 8339668 10424585 16679336 20849170 33358672 41698340 52122925 83396680 104245850 110500601 166793360 208491700 221001202 416983400 442002404 552503005 833966800 884004808 1105006010 1768009616 2210012020 2762515025 4420024040 5525030050 8840048080 11050060100 22100120200 44200240400