Search a number
-
+
14062337440 = 2551741126097
BaseRepresentation
bin11010001100010111…
…00011110110100000
31100022000202202110121
431012023203312200
5212244424244230
610243220410024
71005322616224
oct150613436640
940260682417
1014062337440
115a66906288
122885546914
1314314c6a38
149758a2784
1557484877a
hex3462e3da0

14062337440 has 96 divisors (see below), whose sum is σ = 36034773264. Its totient is φ = 5164892160.

The previous prime is 14062337417. The next prime is 14062337441. The reversal of 14062337440 is 4473326041.

It can be written as a sum of positive squares in 8 ways, for example, as 3447568656 + 10614768784 = 58716^2 + 103028^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 14062337396 and 14062337405.

It is not an unprimeable number, because it can be changed into a prime (14062337441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48472 + ... + 174568.

Almost surely, 214062337440 is an apocalyptic number.

14062337440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14062337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017386632).

14062337440 is an abundant number, since it is smaller than the sum of its proper divisors (21972435824).

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

14062337440 is a wasteful number, since it uses less digits than its factorization.

14062337440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126170 (or 126162 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 14062337440 in words is "fourteen billion, sixty-two million, three hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 656 680 697 820 1312 1360 1394 1640 2720 2788 3280 3485 5576 6560 6970 11152 13940 22304 27880 55760 111520 126097 252194 504388 630485 1008776 1260970 2017552 2143649 2521940 4035104 4287298 5043880 5169977 8574596 10087760 10339954 10718245 17149192 20175520 20679908 21436490 25849885 34298384 41359816 42872980 51699770 68596768 82719632 85745960 87889609 103399540 165439264 171491920 175779218 206799080 342983840 351558436 413598160 439448045 703116872 827196320 878896090 1406233744 1757792180 2812467488 3515584360 7031168720 14062337440