Search a number
-
+
742033103413 = 7316719508931
BaseRepresentation
bin10101100110001001001…
…11101001101000110101
32121221022120012021210211
422303010213221220311
544124140433302123
61324515120345421
7104416162211350
oct12630447515065
92557276167724
10742033103413
11266770384398
12bb989475271
1354c867b7274
1427cb3907297
151447e2e040d
hexacc49e9a35

742033103413 has 16 divisors (see below), whose sum is σ = 875525898240. Its totient is φ = 615418513200.

The previous prime is 742033103401. The next prime is 742033103431. The reversal of 742033103413 is 314301330247.

742033103413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 742033103413 - 25 = 742033103381 is a prime.

It is a super-2 number, since 2×7420331034132 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742033101413) 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, 1203558 + ... + 1712488.

It is an arithmetic number, because the mean of its divisors is an integer number (54720368640).

Almost surely, 2742033103413 is an apocalyptic number.

It is an amenable number.

742033103413 is a deficient number, since it is larger than the sum of its proper divisors (133492794827).

742033103413 is a wasteful number, since it uses less digits than its factorization.

742033103413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515688.

The product of its (nonzero) digits is 18144, while the sum is 31.

The spelling of 742033103413 in words is "seven hundred forty-two billion, thirty-three million, one hundred three thousand, four hundred thirteen".

Divisors: 1 7 31 217 6719 47033 208289 508931 1458023 3562517 15776861 110438027 3419507389 23936551723 106004729059 742033103413