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3045440043744 = 253717412603047
BaseRepresentation
bin101100010100010010010…
…111110011101011100000
3101210010210221201200001020
4230110102113303223200
5344344030122344434
610251020021205440
7433011562153530
oct54242227635340
911703727650036
103045440043744
11a7462256813a
12412287860880
13191250963057
14a7585b914c0
1554343b05849
hex2c5125f3ae0

3045440043744 has 96 divisors (see below), whose sum is σ = 9141571385856. Its totient is φ = 869625607680.

The previous prime is 3045440043733. The next prime is 3045440043749. The reversal of 3045440043744 is 4473400445403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3045440043696 and 3045440043705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045440043749) 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, 131572 + ... + 2471475.

It is an arithmetic number, because the mean of its divisors is an integer number (95224701936).

Almost surely, 23045440043744 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 3045440043744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570785692928).

3045440043744 is an abundant number, since it is smaller than the sum of its proper divisors (6096131342112).

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

3045440043744 is a wasteful number, since it uses less digits than its factorization.

3045440043744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604808 (or 2604800 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 42.

The spelling of 3045440043744 in words is "three trillion, forty-five billion, four hundred forty million, forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1741 3482 5223 6964 10446 12187 13928 20892 24374 27856 36561 41784 48748 55712 73122 83568 97496 146244 167136 194992 292488 389984 584976 1169952 2603047 5206094 7809141 10412188 15618282 18221329 20824376 31236564 36442658 41648752 54663987 62473128 72885316 83297504 109327974 124946256 145770632 218655948 249892512 291541264 437311896 583082528 874623792 1749247584 4531904827 9063809654 13595714481 18127619308 27191428962 31723333789 36255238616 54382857924 63446667578 72510477232 95170001367 108765715848 126893335156 145020954464 190340002734 217531431696 253786670312 380680005468 435062863392 507573340624 761360010936 1015146681248 1522720021872 3045440043744