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1398041442 = 2327212592
BaseRepresentation
bin101001101010100…
…0110101101100010
310121102122212022200
41103111012231202
510330344311232
6350420514030
746434104400
oct12325065542
93542585280
101398041442
11658181256
1233024b916
13193844175
14d3962470
1582b0977c
hex53546b62

1398041442 has 54 divisors (see below), whose sum is σ = 3526436043. Its totient is φ = 399123144.

The previous prime is 1398041417. The next prime is 1398041507. The reversal of 1398041442 is 2441408931.

It is a happy number.

1398041442 is a `hidden beast` number, since 139 + 80 + 4 + 1 + 442 = 666.

It can be written as a sum of positive squares in only one way, i.e., 699020721 + 699020721 = 26439^2 + 26439^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26439.

It is a junction number, because it is equal to n+sod(n) for n = 1398041397 and 1398041406.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1109809 + ... + 1111067.

Almost surely, 21398041442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398041442

1398041442 is an abundant number, since it is smaller than the sum of its proper divisors (2128394601).

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

1398041442 is an equidigital number, since it uses as much as digits as its factorization.

1398041442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1398041442 is about 37390.3923755823. The cubic root of 1398041442 is about 1118.1670278685.

It can be divided in two parts, 139804 and 1442, that added together give a triangular number (141246 = T531).

The spelling of 1398041442 in words is "one billion, three hundred ninety-eight million, forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1259 2518 3777 7554 8813 11331 17626 22662 26439 52878 61691 79317 123382 158634 185073 370146 555219 1110438 1585081 3170162 4755243 9510486 11095567 14265729 22191134 28531458 33286701 66573402 77668969 99860103 155337938 199720206 233006907 466013814 699020721 1398041442