Search a number
-
+
16400165141433 = 3611371783366881
BaseRepresentation
bin1110111010100111011000…
…0001000111101110111001
32011001211200201002020011210
43232221312001013232321
54122200014234011213
654514044251513333
73311605244421423
oct356516601075671
964054621066153
1016400165141433
1152532a8741a97
121a0a566158849
1391c6b50c7378
14409ab4dcb813
151d69150450c3
hexeea76047bb9

16400165141433 has 32 divisors (see below), whose sum is σ = 22400206509312. Its totient is φ = 10669692211200.

The previous prime is 16400165141411. The next prime is 16400165141443. The reversal of 16400165141433 is 33414156100461.

It is a happy number.

It is not a de Polignac number, because 16400165141433 - 26 = 16400165141369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16400165141391 and 16400165141400.

It is not an unprimeable number, because it can be changed into a prime (16400165141443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44518153 + ... + 44885033.

It is an arithmetic number, because the mean of its divisors is an integer number (700006453416).

Almost surely, 216400165141433 is an apocalyptic number.

It is an amenable number.

16400165141433 is a deficient number, since it is larger than the sum of its proper divisors (6000041367879).

16400165141433 is a wasteful number, since it uses less digits than its factorization.

16400165141433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368865.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 16400165141433 in words is "sixteen trillion, four hundred billion, one hundred sixty-five million, one hundred forty-one thousand, four hundred thirty-three".

Divisors: 1 3 61 137 183 411 1783 5349 8357 25071 108763 244271 326289 366881 732813 1100643 14900531 22379741 44701593 50262697 67139223 150788091 654148823 1962446469 3066024517 9198073551 39903078203 89618388751 119709234609 268855166253 5466721713811 16400165141433