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14040288944 = 24111947157569
BaseRepresentation
bin11010001001101110…
…11100111010110000
31100020111021120121122
431010313130322300
5212223303221234
610241112041412
71004634326003
oct150467347260
940214246548
1014040288944
115a55416990
12287a093268
131429a770a6
149729a353a
1557294092e
hex344ddceb0

14040288944 has 160 divisors (see below), whose sum is σ = 32162227200. Its totient is φ = 5869393920.

The previous prime is 14040288943. The next prime is 14040288949. The reversal of 14040288944 is 44988204041.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 14040288895 and 14040288904.

It is not an unprimeable number, because it can be changed into a prime (14040288943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24675092 + ... + 24675660.

It is an arithmetic number, because the mean of its divisors is an integer number (201013920).

Almost surely, 214040288944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14040288944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16081113600).

14040288944 is an abundant number, since it is smaller than the sum of its proper divisors (18121938256).

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

14040288944 is a wasteful number, since it uses less digits than its factorization.

14040288944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 14040288944 in words is "fourteen billion, forty million, two hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 47 76 88 94 152 157 176 188 209 304 314 376 418 517 569 628 752 836 893 1034 1138 1256 1672 1727 1786 2068 2276 2512 2983 3344 3454 3572 4136 4552 5966 6259 6908 7144 7379 8272 9104 9823 10811 11932 12518 13816 14288 14758 19646 21622 23864 25036 26743 27632 29516 32813 39292 43244 47728 50072 53486 59032 65626 78584 81169 86488 89333 100144 106972 118064 118921 131252 140201 157168 162338 172976 178666 213944 237842 262504 280402 294173 324676 357332 427888 475684 508117 525008 560804 588346 649352 714664 951368 982663 1016234 1121608 1176692 1298704 1429328 1542211 1697327 1902736 1965326 2032468 2243216 2353384 3084422 3394654 3930652 4064936 4198651 4706768 5589287 6168844 6789308 7861304 8129872 8397302 11178574 12337688 13578616 15722608 16794604 18670597 22357148 24675376 27157232 33589208 37341194 44714296 46185161 67178416 74682388 79774369 89428592 92370322 149364776 159548738 184740644 298729552 319097476 369481288 638194952 738962576 877518059 1276389904 1755036118 3510072236 7020144472 14040288944