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14035249140 = 22351121265529
BaseRepresentation
bin11010001001001000…
…01110011111110100
31100020010210112022020
431010210032133310
5212221010433030
610240412033140
71004543435463
oct150444163764
940203715266
1014035249140
115a52594460
1228784627b0
131428a01163
149720509da
15572297510
hex34490e7f4

14035249140 has 48 divisors (see below), whose sum is σ = 42871308480. Its totient is φ = 3402484480.

The previous prime is 14035249139. The next prime is 14035249159. The reversal of 14035249140 is 4194253041.

14035249140 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10632105 + ... + 10633424.

It is an arithmetic number, because the mean of its divisors is an integer number (893152260).

Almost surely, 214035249140 is an apocalyptic number.

14035249140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14035249140 is an abundant number, since it is smaller than the sum of its proper divisors (28836059340).

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

14035249140 is a wasteful number, since it uses less digits than its factorization.

14035249140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21265552 (or 21265550 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

It can be divided in two parts, 14035 and 249140, that added together give a triangular number (263175 = T725).

The spelling of 14035249140 in words is "fourteen billion, thirty-five million, two hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 21265529 42531058 63796587 85062116 106327645 127593174 212655290 233920819 255186348 318982935 425310580 467841638 637965870 701762457 935683276 1169604095 1275931740 1403524914 2339208190 2807049828 3508812285 4678416380 7017624570 14035249140