Search a number
-
+
141895416 = 23313538581
BaseRepresentation
bin10000111010100…
…10011011111000
3100220000000220210
420131102123320
5242311123131
622025151120
73342043155
oct1035223370
9326000823
10141895416
1173107143
123b62b4a0
1323521cb0
1414bb922c
15c6cd146
hex87526f8

141895416 has 64 divisors (see below), whose sum is σ = 389279520. Its totient is φ = 42831360.

The previous prime is 141895381. The next prime is 141895427. The reversal of 141895416 is 614598141.

141895416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12246 + ... + 20826.

Almost surely, 2141895416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141895416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194639760).

141895416 is an abundant number, since it is smaller than the sum of its proper divisors (247384104).

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

141895416 is a wasteful number, since it uses less digits than its factorization.

141895416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656 (or 8652 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 141895416 is about 11911.9862323628. The cubic root of 141895416 is about 521.5822320563.

It can be divided in two parts, 141895 and 416, that added together give a triangular number (142311 = T533).

The spelling of 141895416 in words is "one hundred forty-one million, eight hundred ninety-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 8268 8581 16536 17162 25743 34324 51486 68648 102972 111553 205944 223106 334659 446212 454793 669318 892424 909586 1338636 1364379 1819172 2677272 2728758 3638344 5457516 5912309 10915032 11824618 17736927 23649236 35473854 47298472 70947708 141895416