Search a number
-
+
190358606141 = 11237401106033
BaseRepresentation
bin1011000101001001000…
…0011101000100111101
3200012100102022010111222
42301102100131010331
511104323300344031
6223241033323125
716516156312004
oct2612220350475
9605312263458
10190358606141
117380451a300
1230a868664a5
1314c48a0c1b2
1492db829c3b
154e41ceee7b
hex2c5241d13d

190358606141 has 24 divisors (see below), whose sum is σ = 215430126072. Its totient is φ = 167954688000.

The previous prime is 190358606117. The next prime is 190358606213. The reversal of 190358606141 is 141606853091.

It can be written as a sum of positive squares in 4 ways, for example, as 83726316025 + 106632290116 = 289355^2 + 326546^2 .

It is a de Polignac number, because none of the positive numbers 2k-190358606141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 190358606092 and 190358606101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190358606101) 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, 1742261 + ... + 1848293.

It is an arithmetic number, because the mean of its divisors is an integer number (8976255253).

Almost surely, 2190358606141 is an apocalyptic number.

190358606141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

190358606141 is a deficient number, since it is larger than the sum of its proper divisors (25071519931).

190358606141 is a wasteful number, since it uses less digits than its factorization.

190358606141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106493 (or 106482 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 190358606141 in words is "one hundred ninety billion, three hundred fifty-eight million, six hundred six thousand, one hundred forty-one".

Divisors: 1 11 37 121 401 407 4411 4477 14837 48521 106033 163207 1166363 1795277 3923221 12829993 42519233 43155431 467711563 474709741 1573211621 5144827193 17305327831 190358606141