Search a number
-
+
14124105312 = 253373976381
BaseRepresentation
bin11010010011101110…
…01011111001100000
31100110022222220001120
431021313023321200
5212411232332222
610253304332240
71010002625412
oct151167137140
940408886046
1014124105312
115a98764409
1228a2174080
131441242585
1497db809b2
15579e9a15c
hex349dcbe60

14124105312 has 48 divisors (see below), whose sum is σ = 38077834032. Its totient is φ = 4580789760.

The previous prime is 14124105287. The next prime is 14124105319. The reversal of 14124105312 is 21350142141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124105319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1984639 + ... + 1991742.

It is an arithmetic number, because the mean of its divisors is an integer number (793288209).

Almost surely, 214124105312 is an apocalyptic number.

14124105312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14124105312 is an abundant number, since it is smaller than the sum of its proper divisors (23953728720).

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

14124105312 is a wasteful number, since it uses less digits than its factorization.

14124105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976431 (or 3976423 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 14124105312 its reverse (21350142141), we get a palindrome (35474247453).

The spelling of 14124105312 in words is "fourteen billion, one hundred twenty-four million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 3976381 7952762 11929143 15905524 23858286 31811048 47716572 63622096 95433144 127244192 147126097 190866288 294252194 381732576 441378291 588504388 882756582 1177008776 1765513164 2354017552 3531026328 4708035104 7062052656 14124105312