Search a number
-
+
444120042102 = 231119354162713
BaseRepresentation
bin1100111011001111001…
…11100000101001110110
31120110100111012201202020
412131213213200221312
524234024212321402
6540005333454010
744041465033242
oct6354747405166
91513314181666
10444120042102
11161394205010
12720a6aa1306
1332b5a152429
14176d1a11422
15b844e688bc
hex67679e0a76

444120042102 has 32 divisors (see below), whose sum is σ = 1019988616320. Its totient is φ = 127498576320.

The previous prime is 444120042049. The next prime is 444120042167. The reversal of 444120042102 is 201240021444.

It is a super-2 number, since 2×4441200421022 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177080103 + ... + 177082610.

It is an arithmetic number, because the mean of its divisors is an integer number (31874644260).

Almost surely, 2444120042102 is an apocalyptic number.

444120042102 is an abundant number, since it is smaller than the sum of its proper divisors (575868574218).

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

444120042102 is a wasteful number, since it uses less digits than its factorization.

444120042102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354162748.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444120042102 its reverse (201240021444), we get a palindrome (645360063546).

The spelling of 444120042102 in words is "four hundred forty-four billion, one hundred twenty million, forty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 354162713 708325426 1062488139 2124976278 3895789843 6729091547 7791579686 11687369529 13458183094 20187274641 23374739058 40374549282 74020007017 148040014034 222060021051 444120042102