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45425014400 = 275214195317
BaseRepresentation
bin101010010011100010…
…101011011010000000
311100020202011211012202
4222103202223122000
51221012300430100
632511251412332
73165450152213
oct522342533200
9140222154182
1045425014400
11182a0266717
1289788b40a8
13438bca035c
1422acca577a
1512acde37d5
hexa938ab680

45425014400 has 48 divisors (see below), whose sum is σ = 112213988790. Its totient is φ = 18170004480.

The previous prime is 45425014343. The next prime is 45425014409. The reversal of 45425014400 is 441052454.

It can be written as a sum of positive squares in 3 ways, for example, as 42941786176 + 2483228224 = 207224^2 + 49832^2 .

It is not an unprimeable number, because it can be changed into a prime (45425014409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7094459 + ... + 7100858.

Almost surely, 245425014400 is an apocalyptic number.

45425014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45425014400 is an abundant number, since it is smaller than the sum of its proper divisors (66788974390).

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

45425014400 is a wasteful number, since it uses less digits than its factorization.

45425014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14195341 (or 14195324 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 45425014400 its reverse (441052454), we get a palindrome (45866066854).

The spelling of 45425014400 in words is "forty-five billion, four hundred twenty-five million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 14195317 28390634 56781268 70976585 113562536 141953170 227125072 283906340 354882925 454250144 567812680 709765850 908500288 1135625360 1419531700 1817000576 2271250720 2839063400 4542501440 5678126800 9085002880 11356253600 22712507200 45425014400