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1406681547400 = 235237190092101
BaseRepresentation
bin10100011110000100110…
…000010000001010001000
311222110220001111120102101
4110132010300100022020
5141021340434004100
62554115351243144
7203425610604043
oct24360460201210
94873801446371
101406681547400
114a2630074798
121a875a9794b4
13a2859c5100c
144c125b4bc5a
15268cea2286a
hex14784c10288

1406681547400 has 48 divisors (see below), whose sum is σ = 3358927442340. Its totient is φ = 547465248000.

The previous prime is 1406681547331. The next prime is 1406681547451. The reversal of 1406681547400 is 47451866041.

It can be written as a sum of positive squares in 6 ways, for example, as 1084918060836 + 321763486564 = 1041594^2 + 567242^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95038651 + ... + 95053450.

Almost surely, 21406681547400 is an apocalyptic number.

1406681547400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406681547400 is an abundant number, since it is smaller than the sum of its proper divisors (1952245894940).

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

1406681547400 is a wasteful number, since it uses less digits than its factorization.

1406681547400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190092154 (or 190092145 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 1406681547400 in words is "one trillion, four hundred six billion, six hundred eighty-one million, five hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 190092101 380184202 760368404 950460505 1520736808 1900921010 3801842020 4752302525 7033407737 7603684040 9504605050 14066815474 19009210100 28133630948 35167038685 38018420200 56267261896 70334077370 140668154740 175835193425 281336309480 351670386850 703340773700 1406681547400