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10450144400 = 2452191375019
BaseRepresentation
bin10011011101110000…
…01000110010010000
3222222021210100011012
421232320020302100
5132400214110100
64444542510052
7516651522203
oct115670106220
928867710135
1010450144400
11448291a183
122037895328
13ca7037ac7
14711c5b93a
15412679135
hex26ee08c90

10450144400 has 60 divisors (see below), whose sum is σ = 26427884400. Its totient is φ = 3960051840.

The previous prime is 10450144387. The next prime is 10450144421. The reversal of 10450144400 is 444105401.

It is a happy 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, 679910 + ... + 695109.

It is an arithmetic number, because the mean of its divisors is an integer number (440464740).

Almost surely, 210450144400 is an apocalyptic number.

10450144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10450144400 is an abundant number, since it is smaller than the sum of its proper divisors (15977740000).

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

10450144400 is a wasteful number, since it uses less digits than its factorization.

10450144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375056 (or 1375045 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 10450144400 its reverse (444105401), we get a palindrome (10894249801).

The spelling of 10450144400 in words is "ten billion, four hundred fifty million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 1375019 2750038 5500076 6875095 11000152 13750190 22000304 26125361 27500380 34375475 52250722 55000760 68750950 104501444 110001520 130626805 137501900 209002888 261253610 275003800 418005776 522507220 550007600 653134025 1045014440 1306268050 2090028880 2612536100 5225072200 10450144400