Search a number
-
+
141381480420 = 223257823100403
BaseRepresentation
bin1000001110101011111…
…1100010111111100100
3111111221010012100121200
42003222333202333210
54304022124333140
6144541051442500
713133364520005
oct2035277427744
9444833170550
10141381480420
1154a611838a4
1223498456430
1310441b5812b
146bb2cbd1ac
153a27159030
hex20eafe2fe4

141381480420 has 72 divisors (see below), whose sum is σ = 428916249216. Its totient is φ = 37696533312.

The previous prime is 141381480413. The next prime is 141381480439. The reversal of 141381480420 is 24084183141.

It is a happy number.

141381480420 is a `hidden beast` number, since 1 + 4 + 138 + 1 + 480 + 42 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357939 + ... + 1458341.

It is an arithmetic number, because the mean of its divisors is an integer number (5957170128).

Almost surely, 2141381480420 is an apocalyptic number.

141381480420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141381480420 is an abundant number, since it is smaller than the sum of its proper divisors (287534768796).

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

141381480420 is a wasteful number, since it uses less digits than its factorization.

141381480420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108241 (or 108236 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 141381480420 in words is "one hundred forty-one billion, three hundred eighty-one million, four hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7823 15646 23469 31292 39115 46938 70407 78230 93876 100403 117345 140814 156460 200806 234690 281628 301209 352035 401612 469380 502015 602418 704070 903627 1004030 1204836 1408140 1506045 1807254 2008060 3012090 3614508 4518135 6024180 9036270 18072540 785452669 1570905338 2356358007 3141810676 3927263345 4712716014 7069074021 7854526690 9425432028 11781790035 14138148042 15709053380 23563580070 28276296084 35345370105 47127160140 70690740210 141381480420