Search a number
-
+
141828141 = 37131937739
BaseRepresentation
bin10000111010000…
…10000000101101
3100212212121122010
420131002000231
5242302000031
622023511433
73341343060
oct1035020055
9325777563
10141828141
1173070644
123b5b8579
13234ca4a0
1414b9c8d7
15c6b8246
hex874202d

141828141 has 64 divisors (see below), whose sum is σ = 251955200. Its totient is φ = 68864256.

The previous prime is 141828133. The next prime is 141828149.

141828141 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (141828133) and next prime (141828149).

It is not a de Polignac number, because 141828141 - 23 = 141828133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141828099 and 141828108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141828149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191550 + ... + 192288.

It is an arithmetic number, because the mean of its divisors is an integer number (3936800).

Almost surely, 2141828141 is an apocalyptic number.

It is an amenable number.

141828141 is a deficient number, since it is larger than the sum of its proper divisors (110127059).

141828141 is a wasteful number, since it uses less digits than its factorization.

141828141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818.

The product of its digits is 2048, while the sum is 30.

The square root of 141828141 is about 11909.1620612031. The cubic root of 141828141 is about 521.4997887267.

The spelling of 141828141 in words is "one hundred forty-one million, eight hundred twenty-eight thousand, one hundred forty-one".

Divisors: 1 3 7 13 19 21 37 39 57 91 111 133 247 259 273 399 481 703 739 741 777 1443 1729 2109 2217 3367 4921 5173 5187 9139 9607 10101 14041 14763 15519 27343 27417 28821 42123 63973 67249 82029 98287 182533 191401 191919 201747 294861 355459 519517 547599 574203 1066377 1277731 1558551 2488213 3636619 3833193 6753721 7464639 10909857 20261163 47276047 141828141