Search a number
-
+
141316222440 = 23351177635187
BaseRepresentation
bin1000001110011100011…
…0100110110111101000
3111111202120101220111110
42003213012212313220
54303403423104230
6144530401030320
713131643033341
oct2034706466750
9444676356443
10141316222440
1154a28361588
122347a6253a0
1310431489b43
146ba83730c8
153a215684b0
hex20e71a6de8

141316222440 has 32 divisors (see below), whose sum is σ = 423948667680. Its totient is φ = 37684325952.

The previous prime is 141316222393. The next prime is 141316222441. The reversal of 141316222440 is 44222613141.

141316222440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141316222398 and 141316222407.

It is not an unprimeable number, because it can be changed into a prime (141316222441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588817474 + ... + 588817713.

It is an arithmetic number, because the mean of its divisors is an integer number (13248395865).

Almost surely, 2141316222440 is an apocalyptic number.

141316222440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141316222440 is an abundant number, since it is smaller than the sum of its proper divisors (282632445240).

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

141316222440 is a wasteful number, since it uses less digits than its factorization.

141316222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177635201 (or 1177635197 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 141316222440 its reverse (44222613141), we get a palindrome (185538835581).

The spelling of 141316222440 in words is "one hundred forty-one billion, three hundred sixteen million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1177635187 2355270374 3532905561 4710540748 5888175935 7065811122 9421081496 11776351870 14131622244 17664527805 23552703740 28263244488 35329055610 47105407480 70658111220 141316222440