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14440141320 = 23351143254407
BaseRepresentation
bin11010111001011001…
…10001001000001000
31101021100200011221220
431130230301020020
5214033134010240
610344514202040
71020561114243
oct153454611010
941240604856
1014440141320
1161400a09a0
12296bb83320
131491866427
149adb2a25a
15597ac55d0
hex35cb31208

14440141320 has 128 divisors (see below), whose sum is σ = 48357872640. Its totient is φ = 3419216640.

The previous prime is 14440141319. The next prime is 14440141327. The reversal of 14440141320 is 2314104441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14440141327) 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, 70444 + ... + 183963.

It is an arithmetic number, because the mean of its divisors is an integer number (377795880).

Almost surely, 214440141320 is an apocalyptic number.

14440141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14440141320 is an abundant number, since it is smaller than the sum of its proper divisors (33917731320).

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

14440141320 is a wasteful number, since it uses less digits than its factorization.

14440141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254475 (or 254471 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14440141320 its reverse (2314104441), we get a palindrome (16754245761).

The spelling of 14440141320 in words is "fourteen billion, four hundred forty million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 254407 508814 763221 1017628 1272035 1526442 2035256 2544070 2798477 3052884 3816105 5088140 5596954 6105768 7632210 8395431 10176280 10939501 11193908 13992385 15264420 16790862 21879002 22387816 27984770 30528840 32818503 33581724 41977155 43758004 54697505 55969540 65637006 67163448 83954310 87516008 109395010 111939080 120334511 131274012 164092515 167908620 218790020 240669022 262548024 328185030 335817240 361003533 437580040 481338044 601672555 656370060 722007066 962676088 1203345110 1312740120 1444014132 1805017665 2406690220 2888028264 3610035330 4813380440 7220070660 14440141320