Search a number
-
+
144034414293 = 37111997338321
BaseRepresentation
bin1000011000100100011…
…1101011111011010101
3111202210000011100201210
42012021013223323111
54324440302224133
6150100221212033
713256210215050
oct2061107537325
9452700140653
10144034414293
11560a2743330
1223ab8a01019
13107756729a3
146d8537da97
153b2eee3763
hex21891ebed5

144034414293 has 64 divisors (see below), whose sum is σ = 254634670080. Its totient is φ = 70154035200.

The previous prime is 144034414291. The next prime is 144034414357. The reversal of 144034414293 is 392414430441.

It is not a de Polignac number, because 144034414293 - 21 = 144034414291 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034414291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256573 + ... + 594893.

It is an arithmetic number, because the mean of its divisors is an integer number (3978666720).

Almost surely, 2144034414293 is an apocalyptic number.

It is an amenable number.

144034414293 is a deficient number, since it is larger than the sum of its proper divisors (110600255787).

144034414293 is a wasteful number, since it uses less digits than its factorization.

144034414293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338458.

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 144034414293 in words is "one hundred forty-four billion, thirty-four million, four hundred fourteen thousand, two hundred ninety-three".

Divisors: 1 3 7 11 19 21 33 57 77 97 133 209 231 291 399 627 679 1067 1463 1843 2037 3201 4389 5529 7469 12901 20273 22407 38703 60819 141911 338321 425733 1014963 2368247 3721531 6428099 7104741 11164593 19284297 26050717 32817137 44996693 70709089 78152151 98451411 134990079 212127267 229719959 360988507 494963623 623525603 689159877 1082965521 1484890869 1870576809 2526919549 4364679221 6858781633 7580758647 13094037663 20576344899 48011471431 144034414293