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14144431104 = 210326722907
BaseRepresentation
bin11010010110001001…
…01110010000000000
31100111202020112210200
431023010232100000
5212431433243404
610255312125200
71010340452316
oct151304562000
940452215720
1014144431104
115aa9187491
1228a8b36800
13144550b07b
149827520b6
1557bb62839
hex34b12e400

14144431104 has 132 divisors (see below), whose sum is σ = 41453125584. Its totient is φ = 4644237312.

The previous prime is 14144431099. The next prime is 14144431109. The reversal of 14144431104 is 40113444141.

It is an interprime number because it is at equal distance from previous prime (14144431099) and next prime (14144431109).

It is not an unprimeable number, because it can be changed into a prime (14144431109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 606019 + ... + 628925.

Almost surely, 214144431104 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 14144431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726562792).

14144431104 is an abundant number, since it is smaller than the sum of its proper divisors (27308694480).

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

14144431104 is a wasteful number, since it uses less digits than its factorization.

14144431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23000 (or 22979 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14144431104 its reverse (40113444141), we get a palindrome (54257875245).

The spelling of 14144431104 in words is "fourteen billion, one hundred forty-four million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 576 603 768 804 1024 1072 1152 1206 1536 1608 2144 2304 2412 3072 3216 4288 4608 4824 6432 8576 9216 9648 12864 17152 19296 22907 25728 34304 38592 45814 51456 68608 68721 77184 91628 102912 137442 154368 183256 205824 206163 274884 308736 366512 412326 549768 617472 733024 824652 1099536 1466048 1534769 1649304 2199072 2932096 3069538 3298608 4398144 4604307 5864192 6139076 6597216 8796288 9208614 11728384 12278152 13194432 13812921 17592576 18417228 23456768 24556304 26388864 27625842 35185152 36834456 49112608 52777728 55251684 70370304 73668912 98225216 105555456 110503368 147337824 196450432 211110912 221006736 294675648 392900864 442013472 589351296 785801728 884026944 1178702592 1571603456 1768053888 2357405184 3536107776 4714810368 7072215552 14144431104