Search a number
-
+
14254205520 = 243586368821
BaseRepresentation
bin11010100011001110…
…11110101001010000
31100210101210122222210
431101213132221100
5213143034034040
610314233032120
71013142514332
oct152147365120
940711718883
1014254205520
116055144645
122919855640
131462194849
14993169452
155865e8480
hex3519dea50

14254205520 has 80 divisors (see below), whose sum is σ = 44239882752. Its totient is φ = 3796661760.

The previous prime is 14254205513. The next prime is 14254205527. The reversal of 14254205520 is 2550245241.

14254205520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14254205513) and next prime (14254205527).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14254205527) by changing a digit.

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, 172710 + ... + 241530.

Almost surely, 214254205520 is an apocalyptic number.

14254205520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14254205520 is an abundant number, since it is smaller than the sum of its proper divisors (29985677232).

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

14254205520 is a wasteful number, since it uses less digits than its factorization.

14254205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69700 (or 69694 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 14254205520 in words is "fourteen billion, two hundred fifty-four million, two hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 863 1726 2589 3452 4315 5178 6904 8630 10356 12945 13808 17260 20712 25890 34520 41424 51780 68821 69040 103560 137642 206463 207120 275284 344105 412926 550568 688210 825852 1032315 1101136 1376420 1651704 2064630 2752840 3303408 4129260 5505680 8258520 16517040 59392523 118785046 178177569 237570092 296962615 356355138 475140184 593925230 712710276 890887845 950280368 1187850460 1425420552 1781775690 2375700920 2850841104 3563551380 4751401840 7127102760 14254205520