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2144601264 = 2431343257311
BaseRepresentation
bin111111111010100…
…0000010010110000
312112110110000212110
41333311000102300
513343004220024
6552450125320
7104100544551
oct17765002260
95473400773
102144601264
11a00631743
124ba280840
13282405b40
14164b7a328
15c8427629
hex7fd404b0

2144601264 has 160 divisors (see below), whose sum is σ = 6148606464. Its totient is φ = 639959040.

The previous prime is 2144601241. The next prime is 2144601271. The reversal of 2144601264 is 4621064412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6895669 + ... + 6895979.

Almost surely, 22144601264 is an apocalyptic number.

2144601264 is a gapful number since it is divisible by the number (24) 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 2144601264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074303232).

2144601264 is an abundant number, since it is smaller than the sum of its proper divisors (4004005200).

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

2144601264 is a wasteful number, since it uses less digits than its factorization.

2144601264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2144601264 is about 46309.8398183367. The cubic root of 2144601264 is about 1289.5816731433.

Adding to 2144601264 its reverse (4621064412), we get a palindrome (6765665676).

The spelling of 2144601264 in words is "two billion, one hundred forty-four million, six hundred one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 257 258 311 312 344 514 516 559 622 624 688 771 933 1028 1032 1118 1244 1542 1677 1866 2056 2064 2236 2488 3084 3341 3354 3732 4043 4112 4472 4976 6168 6682 6708 7464 8086 8944 10023 11051 12129 12336 13364 13373 13416 14928 16172 20046 22102 24258 26728 26746 26832 32344 33153 40092 40119 44204 48516 53456 53492 64688 66306 79927 80184 80238 88408 97032 106984 132612 143663 159854 160368 160476 173849 176816 194064 213968 239781 265224 287326 319708 320952 347698 430989 479562 521547 530448 574652 639416 641904 695396 861978 959124 1039051 1043094 1149304 1278832 1390792 1723956 1918248 2078102 2086188 2298608 2781584 3117153 3436861 3447912 3836496 4156204 4172376 6234306 6873722 6895824 8312408 8344752 10310583 12468612 13747444 16624816 20621166 24937224 27494888 41242332 44679193 49874448 54989776 82484664 89358386 134037579 164969328 178716772 268075158 357433544 536150316 714867088 1072300632 2144601264