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714718345540 = 225172226954497
BaseRepresentation
bin10100110011010001000…
…10000111100101000100
32112022210221122211010211
422121220202013211010
543202220344024130
61304200450325204
7102431246461633
oct12315042074504
92468727584124
10714718345540
11256123967531
12b6625889804
135252283c544
1426841d6d51a
15138d12d3a2a
hexa668887944

714718345540 has 72 divisors (see below), whose sum is σ = 1595122671240. Its totient is φ = 268946915328.

The previous prime is 714718345493. The next prime is 714718345577. The reversal of 714718345540 is 45543817417.

It can be written as a sum of positive squares in 12 ways, for example, as 180067830336 + 534650515204 = 424344^2 + 731198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13087572 + ... + 13142068.

It is an arithmetic number, because the mean of its divisors is an integer number (22154481545).

Almost surely, 2714718345540 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 714718345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797561335620).

714718345540 is an abundant number, since it is smaller than the sum of its proper divisors (880404325700).

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

714718345540 is a wasteful number, since it uses less digits than its factorization.

714718345540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56809 (or 56790 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

The spelling of 714718345540 in words is "seven hundred fourteen billion, seven hundred eighteen million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2269 2890 4538 5780 9076 11345 22690 38573 45380 54497 77146 108994 154292 192865 217988 272485 385730 544970 655741 771460 926449 1089940 1311482 1852898 2622964 3278705 3705796 4632245 6557410 9264490 13114820 15749633 18528980 31499266 62998532 78748165 123653693 157496330 247307386 314992660 494614772 618268465 1236536930 2102112781 2473073860 4204225562 8408451124 10510563905 21021127810 35735917277 42042255620 71471834554 142943669108 178679586385 357359172770 714718345540