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2140354629 = 327109311687
BaseRepresentation
bin111111110010011…
…0011100001000101
312112011110021120200
41333210303201011
513340412322004
6552215121113
7104016466650
oct17744634105
95464407520
102140354629
119a91a1126
124b8973199
13281579c3a
14164392897
15c7d89239
hex7f933845

2140354629 has 24 divisors (see below), whose sum is σ = 3565710720. Its totient is φ = 1211835168.

The previous prime is 2140354613. The next prime is 2140354637. The reversal of 2140354629 is 9264530412.

It is a happy number.

2140354629 is a `hidden beast` number, since 21 + 4 + 0 + 3 + 5 + 4 + 629 = 666.

It is not a de Polignac number, because 2140354629 - 24 = 2140354613 is a prime.

It is a super-2 number, since 2×21403546292 = 9162235875763455282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2140354593 and 2140354602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140354639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148977 + ... + 162710.

It is an arithmetic number, because the mean of its divisors is an integer number (148571280).

Almost surely, 22140354629 is an apocalyptic number.

It is an amenable number.

2140354629 is a deficient number, since it is larger than the sum of its proper divisors (1425356091).

2140354629 is a wasteful number, since it uses less digits than its factorization.

2140354629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311809 (or 311806 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2140354629 is about 46263.9668532650. The cubic root of 2140354629 is about 1288.7299217508.

The spelling of 2140354629 in words is "two billion, one hundred forty million, three hundred fifty-four thousand, six hundred twenty-nine".

Divisors: 1 3 7 9 21 63 109 327 763 981 2289 6867 311687 935061 2181809 2805183 6545427 19636281 33973883 101921649 237817181 305764947 713451543 2140354629