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400914441 = 3441120721
BaseRepresentation
bin10111111001010…
…111100000001001
31000221101120020000
4113321113200021
51310113230231
6103440553213
712635500524
oct2771274011
91027346200
10400914441
1119633aa54
12b2322809
13650a18a5
143b361bbb
15252e46e6
hex17e57809

400914441 has 20 divisors (see below), whose sum is σ = 613509204. Its totient is φ = 260755200.

The previous prime is 400914439. The next prime is 400914463. The reversal of 400914441 is 144419004.

It can be written as a sum of positive squares in 2 ways, for example, as 8874441 + 392040000 = 2979^2 + 19800^2 .

It is not a de Polignac number, because 400914441 - 21 = 400914439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (400914401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57040 + ... + 63681.

Almost surely, 2400914441 is an apocalyptic number.

400914441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

400914441 is a deficient number, since it is larger than the sum of its proper divisors (212594763).

400914441 is a wasteful number, since it uses less digits than its factorization.

400914441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120774 (or 120765 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 400914441 is about 20022.8479742518. The cubic root of 400914441 is about 737.3673439847.

The spelling of 400914441 in words is "four hundred million, nine hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 120721 362163 1086489 3259467 4949561 9778401 14848683 44546049 133638147 400914441