Search a number
-
+
14244154240 = 275211313337
BaseRepresentation
bin11010100010000010…
…01000101110000000
31100202200220000020011
431101001020232000
5213133000413430
610313233354304
71012661212321
oct152101105600
940680800204
1014244154240
11604a4a99a8
122916408994
131460085844
14991ab0448
155857b022a
hex351048b80

14244154240 has 128 divisors (see below), whose sum is σ = 34424975520. Its totient is φ = 5635768320.

The previous prime is 14244154153. The next prime is 14244154241. The reversal of 14244154240 is 4245144241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244154241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42267352 + ... + 42267688.

Almost surely, 214244154240 is an apocalyptic number.

14244154240 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 14244154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17212487760).

14244154240 is an abundant number, since it is smaller than the sum of its proper divisors (20180821280).

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

14244154240 is a wasteful number, since it uses less digits than its factorization.

14244154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 14244154240 its reverse (4245144241), we get a palindrome (18489298481).

Subtracting from 14244154240 its reverse (4245144241), we obtain a palindrome (9999009999).

The spelling of 14244154240 in words is "fourteen billion, two hundred forty-four million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 313 320 337 422 626 640 674 844 1055 1252 1348 1565 1685 1688 2110 2504 2696 3130 3370 3376 4220 5008 5392 6260 6740 6752 8440 10016 10784 12520 13480 13504 16880 20032 21568 25040 26960 27008 33760 40064 43136 50080 53920 66043 67520 71107 100160 105481 107840 132086 135040 142214 200320 210962 215680 264172 284428 330215 355535 421924 527405 528344 568856 660430 711070 843848 1054810 1056688 1137712 1320860 1422140 1687696 2109620 2113376 2275424 2641720 2844280 3375392 4219240 4226752 4550848 5283440 5688560 6750784 8438480 8453504 9101696 10566880 11377120 13501568 16876960 21133760 22256491 22754240 33753920 42267520 44512982 45508480 67507840 89025964 111282455 178051928 222564910 356103856 445129820 712207712 890259640 1424415424 1780519280 2848830848 3561038560 7122077120 14244154240