Search a number
-
+
141381864 = 233213151049
BaseRepresentation
bin10000110110101…
…01000011101000
3100212000221110100
420123111003220
5242143204424
622010145400
73334504011
oct1033250350
9325027410
10141381864
1172896318
123b422260
13233a2310
1414ac4008
15c62adc9
hex86d50e8

141381864 has 48 divisors (see below), whose sum is σ = 412366500. Its totient is φ = 43501824.

The previous prime is 141381853. The next prime is 141381883. The reversal of 141381864 is 468183141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 139004100 + 2377764 = 11790^2 + 1542^2 .

It is a super-2 number, since 2×1413818642 = 39977662936228992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74589 + ... + 76460.

Almost surely, 2141381864 is an apocalyptic number.

It is an amenable number.

141381864 is an abundant number, since it is smaller than the sum of its proper divisors (270984636).

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

141381864 is a wasteful number, since it uses less digits than its factorization.

141381864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151074 (or 151067 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 141381864 is about 11890.4105900511. The cubic root of 141381864 is about 520.9522295616.

The spelling of 141381864 in words is "one hundred forty-one million, three hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 151049 302098 453147 604196 906294 1208392 1359441 1812588 1963637 2718882 3625176 3927274 5437764 5890911 7854548 10875528 11781822 15709096 17672733 23563644 35345466 47127288 70690932 141381864