Search a number
-
+
14424111130240 = 27573219667663
BaseRepresentation
bin1101000111100110000000…
…0001010010011010000000
31220001221011002211122111001
43101321200001102122000
53342311034422131430
650402202320301344
73016051630441660
oct321714001223200
956057132748431
1014424111130240
11466125a773aa9
12174b5a5771854
138082598cb256
1437c1b89181a0
151a030e43a3ca
hexd1e60052680

14424111130240 has 64 divisors (see below), whose sum is σ = 39408732207360. Its totient is φ = 4945409528832.

The previous prime is 14424111130199. The next prime is 14424111130277. The reversal of 14424111130240 is 4203111142441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14424111130199 and 14424111130208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609829352 + ... + 1609838311.

It is an arithmetic number, because the mean of its divisors is an integer number (615761440740).

Almost surely, 214424111130240 is an apocalyptic number.

14424111130240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14424111130240 is an abundant number, since it is smaller than the sum of its proper divisors (24984621077120).

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

14424111130240 is an equidigital number, since it uses as much as digits as its factorization.

14424111130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219667689 (or 3219667677 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14424111130240 its reverse (4203111142441), we get a palindrome (18627222272681).

The spelling of 14424111130240 in words is "fourteen trillion, four hundred twenty-four billion, one hundred eleven million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 3219667663 6439335326 12878670652 16098338315 22537673641 25757341304 32196676630 45075347282 51514682608 64393353260 90150694564 103029365216 112688368205 128786706520 180301389128 206058730432 225376736410 257573413040 360602778256 412117460864 450753472820 515146826080 721205556512 901506945640 1030293652160 1442411113024 1803013891280 2060587304320 2884822226048 3606027782560 7212055565120 14424111130240