Search a number
-
+
141078364816 = 24939012
BaseRepresentation
bin1000001101100011101…
…1010000001010010000
3111111010222211111011211
42003120323100022100
54302412030133231
6144451022545504
713123024213024
oct2033073201220
9444128744154
10141078364816
1154916071634
1223412a38294
13103c410919c
146b84938384
153a0a731eb1
hex20d8ed0290

141078364816 has 15 divisors (see below), whose sum is σ = 273342242793. Its totient is φ = 70538431200.

The previous prime is 141078364813. The next prime is 141078364841. The reversal of 141078364816 is 618463870141.

It is a happy number.

The square root of 141078364816 is 375604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 88325462416 + 52752902400 = 297196^2 + 229680^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 141078364816.

It is not an unprimeable number, because it can be changed into a prime (141078364811) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1455466 + ... + 1549366.

Almost surely, 2141078364816 is an apocalyptic number.

141078364816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141078364816 is the 375604-th square number.

It is an amenable number.

141078364816 is a deficient number, since it is larger than the sum of its proper divisors (132263877977).

141078364816 is an frugal number, since it uses more digits than its factorization.

141078364816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187810 (or 93903 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 141078364816 by its sum of digits (49), we get a square (6912839875984 = 26292282).

The spelling of 141078364816 in words is "one hundred forty-one billion, seventy-eight million, three hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 93901 187802 375604 751208 1502416 8817397801 17634795602 35269591204 70539182408 141078364816