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142411374 = 23277115919
BaseRepresentation
bin10000111110100…
…00011001101110
3100220222020200100
420133100121232
5242424130444
622044211530
73346322340
oct1037203156
9326866610
10142411374
1173429856
123b839ba6
1323672ab1
1414cb1290
15c780e69
hex87d066e

142411374 has 48 divisors (see below), whose sum is σ = 357626880. Its totient is φ = 40113360.

The previous prime is 142411361. The next prime is 142411387. The reversal of 142411374 is 473114241.

142411374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142411361) and next prime (142411387).

It is a congruent number.

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, 987 + ... + 16905.

It is an arithmetic number, because the mean of its divisors is an integer number (7450560).

Almost surely, 2142411374 is an apocalyptic number.

142411374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142411374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178813440).

142411374 is an abundant number, since it is smaller than the sum of its proper divisors (215215506).

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

142411374 is a wasteful number, since it uses less digits than its factorization.

142411374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16005 (or 16002 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 142411374 is about 11933.6236743078. The cubic root of 142411374 is about 522.2136571974.

The spelling of 142411374 in words is "one hundred forty-two million, four hundred eleven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 4473 8946 15919 31838 47757 95514 111433 143271 222866 286542 334299 668598 1002897 1130249 2005794 2260498 3390747 6781494 7911743 10172241 15823486 20344482 23735229 47470458 71205687 142411374