Search a number
-
+
144301424320 = 2656173101267
BaseRepresentation
bin1000011001100100001…
…0001111111011000000
3111210110121120212122001
42012121002033323000
54331012131034240
6150142520153344
713265631603664
oct2063102177300
9453417525561
10144301424320
115621a434979
1223b72308854
13107b8a8c8a1
146daca068a4
153b4868789a
hex219908fec0

144301424320 has 112 divisors (see below), whose sum is σ = 354038599008. Its totient is φ = 55996047360.

The previous prime is 144301424303. The next prime is 144301424329. The reversal of 144301424320 is 23424103441.

It is not an unprimeable number, because it can be changed into a prime (144301424329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374327 + ... + 1475593.

Almost surely, 2144301424320 is an apocalyptic number.

144301424320 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 144301424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177019299504).

144301424320 is an abundant number, since it is smaller than the sum of its proper divisors (209737174688).

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

144301424320 is a wasteful number, since it uses less digits than its factorization.

144301424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101418 (or 101408 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 144301424320 its reverse (23424103441), we get a palindrome (167725527761).

The spelling of 144301424320 in words is "one hundred forty-four billion, three hundred one million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 73 80 122 146 160 244 292 305 320 365 488 584 610 730 976 1168 1220 1460 1952 2336 2440 2920 3904 4453 4672 4880 5840 8906 9760 11680 17812 19520 22265 23360 35624 44530 71248 89060 101267 142496 178120 202534 284992 356240 405068 506335 712480 810136 1012670 1424960 1620272 2025340 3240544 4050680 6177287 6481088 7392491 8101360 12354574 14784982 16202720 24709148 29569964 30886435 32405440 36962455 49418296 59139928 61772870 73924910 98836592 118279856 123545740 147849820 197673184 236559712 247091480 295699640 395346368 450941951 473119424 494182960 591399280 901883902 988365920 1182798560 1803767804 1976731840 2254709755 2365597120 3607535608 4509419510 7215071216 9018839020 14430142432 18037678040 28860284864 36075356080 72150712160 144301424320