Search a number
-
+
70144444107 = 32174771137387
BaseRepresentation
bin100000101010011101…
…1110100011011001011
320201001111010221221100
41001110323310123023
52122123434202412
652120210512443
75032146636333
oct1012473643313
9221044127840
1070144444107
112782578a071
1211717295723
1367cb34c73a
143575c960c3
151c58143edc
hex1054ef46cb

70144444107 has 48 divisors (see below), whose sum is σ = 111106225152. Its totient is φ = 42468760320.

The previous prime is 70144444079. The next prime is 70144444151.

70144444107 is a `hidden beast` number, since 70 + 1 + 44 + 444 + 107 = 666.

70144444107 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 70144444107 - 219 = 70143919819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (70144444157) 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 47 ways as a sum of consecutive naturals, for example, 441868 + ... + 579254.

It is an arithmetic number, because the mean of its divisors is an integer number (2314713024).

Almost surely, 270144444107 is an apocalyptic number.

70144444107 is a deficient number, since it is larger than the sum of its proper divisors (40961781045).

70144444107 is a wasteful number, since it uses less digits than its factorization.

70144444107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137528 (or 137525 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 70144444107 in words is "seventy billion, one hundred forty-four million, four hundred forty-four thousand, one hundred seven".

Divisors: 1 3 9 17 47 51 71 141 153 213 423 639 799 1207 2397 3337 3621 7191 10011 10863 30033 56729 137387 170187 412161 510561 1236483 2335579 6457189 7006737 9754477 19371567 21020211 29263431 58114701 87790293 109772213 165826109 329316639 458460419 497478327 987949917 1375381257 1492434981 4126143771 7793827123 23381481369 70144444107