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38841314724 = 2234109492
BaseRepresentation
bin100100001011000111…
…110110110110100100
310201020220210020010000
4210023013312312210
51114021334032344
625502104101300
72543344504422
oct441307666644
9121226706100
1038841314724
1115521a00703
12763ba64830
13387ccc5184
141c46754112
151024e0ca69
hex90b1f6da4

38841314724 has 45 divisors (see below), whose sum is σ = 101548143697. Its totient is φ = 12945922416.

The previous prime is 38841314683. The next prime is 38841314767. The reversal of 38841314724 is 42741314883.

The square root of 38841314724 is 197082.

It is a perfect power (a square), and thus also a powerful number.

38841314724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2023380324 + 36817934400 = 44982^2 + 191880^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38841314724.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3542002 + ... + 3552950.

Almost surely, 238841314724 is an apocalyptic number.

38841314724 is the 197082-nd square number.

It is an amenable number.

38841314724 is an abundant number, since it is smaller than the sum of its proper divisors (62706828973).

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

38841314724 is an frugal number, since it uses more digits than its factorization.

38841314724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21914 (or 10954 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 38841314724 in words is "thirty-eight billion, eight hundred forty-one million, three hundred fourteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 10949 21898 32847 43796 65694 98541 131388 197082 295623 394164 591246 886869 1182492 1773738 3547476 119880601 239761202 359641803 479522404 719283606 1078925409 1438567212 2157850818 3236776227 4315701636 6473552454 9710328681 12947104908 19420657362 38841314724