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14412532543264 = 255340134336173
BaseRepresentation
bin1101000110111010110111…
…1000011110111100100000
31220000211021011200111010101
43101232231320132330200
53342113331312341024
650353005343112144
73015161664202432
oct321565570367440
956024234614111
1014412532543264
114657358983259
1217492b3ba2654
13807132b6465b
1437b7dac76652
1519ed82bacc44
hexd1bade1ef20

14412532543264 has 96 divisors (see below), whose sum is σ = 28995278087664. Its totient is φ = 7049470771200.

The previous prime is 14412532543249. The next prime is 14412532543393. The reversal of 14412532543264 is 46234523521441.

It can be written as a sum of positive squares in 8 ways, for example, as 7541109147664 + 6871423395600 = 2746108^2 + 2621340^2 .

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, 2334766482 + ... + 2334772654.

Almost surely, 214412532543264 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 14412532543264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14497639043832).

14412532543264 is an abundant number, since it is smaller than the sum of its proper divisors (14582745544400).

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

14412532543264 is a wasteful number, since it uses less digits than its factorization.

14412532543264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10070 (or 10062 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 46.

The spelling of 14412532543264 in words is "fourteen trillion, four hundred twelve billion, five hundred thirty-two million, five hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 106 212 401 424 802 848 1604 1696 3208 3433 6173 6416 6866 12346 12832 13732 21253 24692 27464 42506 49384 54928 85012 98768 109856 170024 181949 197536 327169 340048 363898 654338 680096 727796 1308676 1376633 1455592 2475373 2617352 2753266 2911184 4950746 5234704 5506532 5822368 9901492 10469408 11013064 19802984 21191909 22026128 39605968 42383818 44052256 72961549 79211936 84767636 131194769 145923098 169535272 262389538 291846196 339070544 524779076 583692392 678141088 1049558152 1123171177 1167384784 2099116304 2246342354 2334769568 4198232608 4492684708 8497955509 8985369416 16995911018 17970738832 33991822036 35941477664 67983644072 135967288144 271934576288 450391641977 900783283954 1801566567908 3603133135816 7206266271632 14412532543264