Search a number
-
+
1038342782730 = 235113146493281
BaseRepresentation
bin11110001110000100000…
…11010111111100001010
310200021010220010121021010
433013002003113330022
5114003011223021410
62113001425224350
7135006050012421
oct17070203277412
93607126117233
101038342782730
113703a4482090
121492a2a920b6
1376bb8c00b66
14383828a82b8
151c0229eac20
hexf1c20d7f0a

1038342782730 has 32 divisors (see below), whose sum is σ = 2718570195648. Its totient is φ = 251719462400.

The previous prime is 1038342782713. The next prime is 1038342782731. The reversal of 1038342782730 is 372872438301.

1038342782730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1038342782730.

It is not an unprimeable number, because it can be changed into a prime (1038342782731) 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, 1573246311 + ... + 1573246970.

It is an arithmetic number, because the mean of its divisors is an integer number (84955318614).

Almost surely, 21038342782730 is an apocalyptic number.

1038342782730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1038342782730 is an abundant number, since it is smaller than the sum of its proper divisors (1680227412918).

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

1038342782730 is a wasteful number, since it uses less digits than its factorization.

1038342782730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146493302.

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 1038342782730 in words is "one trillion, thirty-eight billion, three hundred forty-two million, seven hundred eighty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 3146493281 6292986562 9439479843 15732466405 18878959686 31464932810 34611426091 47197399215 69222852182 94394798430 103834278273 173057130455 207668556546 346114260910 519171391365 1038342782730