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2435406045342 = 2310121411877077
BaseRepresentation
bin100011011100001001100…
…000110010000010011110
322121211012122010200101120
4203130021200302002132
5304400202421422332
65102450551351410
7340644426553044
oct43341140620236
98554178120346
102435406045342
11859939249086
12333bb8682566
131488722734aa
1485c35058394
154353ce1132c
hex2370983209e

2435406045342 has 32 divisors (see below), whose sum is σ = 4921338117024. Its totient is φ = 803388528000.

The previous prime is 2435406045307. The next prime is 2435406045353.

It is a happy number.

2435406045342 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×24354060453423 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2435406045294 and 2435406045303.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 358908 + ... + 2235984.

It is an arithmetic number, because the mean of its divisors is an integer number (153791816157).

Almost surely, 22435406045342 is an apocalyptic number.

2435406045342 is an abundant number, since it is smaller than the sum of its proper divisors (2485932071682).

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

2435406045342 is a wasteful number, since it uses less digits than its factorization.

2435406045342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879324.

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 2435406045342 in words is "two trillion, four hundred thirty-five billion, four hundred six million, forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 101 202 303 606 2141 4282 6423 12846 216241 432482 648723 1297446 1877077 3754154 5631231 11262462 189584777 379169554 568754331 1137508662 4018821857 8037643714 12056465571 24112931142 405901007557 811802015114 1217703022671 2435406045342