Search a number
-
+
14544233120 = 255299913163
BaseRepresentation
bin11011000101110011…
…10110001010100000
31101112121112121001202
431202321312022200
5214241310424440
610403113220332
71023263641004
oct154271661240
941477477052
1014544233120
11619392767a
12299aa016a8
1314aa2b0501
149bd8a4704
155a1cd7615
hex362e762a0

14544233120 has 96 divisors (see below), whose sum is σ = 35592721920. Its totient is φ = 5609640960.

The previous prime is 14544233071. The next prime is 14544233131. The reversal of 14544233120 is 2133244541.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4596659 + ... + 4599821.

It is an arithmetic number, because the mean of its divisors is an integer number (370757520).

Almost surely, 214544233120 is an apocalyptic number.

14544233120 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 14544233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17796360960).

14544233120 is an abundant number, since it is smaller than the sum of its proper divisors (21048488800).

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

14544233120 is a wasteful number, since it uses less digits than its factorization.

14544233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 14544233120 its reverse (2133244541), we get a palindrome (16677477661).

The spelling of 14544233120 in words is "fourteen billion, five hundred forty-four million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 991 1160 1982 2320 3163 3964 4640 4955 6326 7928 9910 12652 15815 15856 19820 25304 28739 31630 31712 39640 50608 57478 63260 79280 91727 101216 114956 126520 143695 158560 183454 229912 253040 287390 366908 458635 459824 506080 574780 733816 917270 919648 1149560 1467632 1834540 2299120 2935264 3134533 3669080 4598240 6269066 7338160 12538132 14676320 15672665 25076264 31345330 50152528 62690660 90901457 100305056 125381320 181802914 250762640 363605828 454507285 501525280 727211656 909014570 1454423312 1818029140 2908846624 3636058280 7272116560 14544233120