Search a number
-
+
4124503314 = 234173148311
BaseRepresentation
bin1111010111010110…
…1110110100010010
3101122102222110220000
43311311232310102
531421333101224
61521134230430
7204131462001
oct36565566422
911572873800
104124503314
1118271a1428
12971355416
13509664309
142b1ac2c38
1519216a0c9
hexf5d6ed12

4124503314 has 80 divisors (see below), whose sum is σ = 10101459456. Its totient is φ = 1252195200.

The previous prime is 4124503309. The next prime is 4124503321. The reversal of 4124503314 is 4133054214.

It is a happy number.

4124503314 is a `hidden beast` number, since 4 + 124 + 503 + 31 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61219 + ... + 109529.

Almost surely, 24124503314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124503314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050729728).

4124503314 is an abundant number, since it is smaller than the sum of its proper divisors (5976956142).

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

4124503314 is a wasteful number, since it uses less digits than its factorization.

4124503314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48373 (or 48364 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4124503314 is about 64222.2960816569. The cubic root of 4124503314 is about 1603.7027932265.

Adding to 4124503314 its reverse (4133054214), we get a palindrome (8257557528).

The spelling of 4124503314 in words is "four billion, one hundred twenty-four million, five hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 279 306 459 527 558 837 918 1054 1377 1581 1674 2511 2754 3162 4743 5022 9486 14229 28458 42687 48311 85374 96622 144933 289866 434799 821287 869598 1304397 1497641 1642574 2463861 2608794 2995282 3913191 4492923 4927722 7391583 7826382 8985846 13478769 14783166 22174749 25459897 26957538 40436307 44349498 50919794 66524247 76379691 80872614 121308921 133048494 152759382 229139073 242617842 458278146 687417219 1374834438 2062251657 4124503314