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34114151142 = 2327179337891
BaseRepresentation
bin11111110001010111…
…001010001011100110
310021001110210102202100
4133301113022023212
51024331210314032
623401040352530
72315244333411
oct376127121346
9107043712670
1034114151142
1113516604745
126740915746
1332a8843466
1419189d4b78
15d49deb97c
hex7f15ca2e6

34114151142 has 48 divisors (see below), whose sum is σ = 75904058880. Its totient is φ = 11069276400.

The previous prime is 34114151117. The next prime is 34114151167. The reversal of 34114151142 is 24115141143.

It is a happy number.

34114151142 is a `hidden beast` number, since 3 + 4 + 1 + 141 + 511 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34114151117) and next prime (34114151167).

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, 67984 + ... + 269907.

It is an arithmetic number, because the mean of its divisors is an integer number (1581334560).

Almost surely, 234114151142 is an apocalyptic number.

34114151142 is an abundant number, since it is smaller than the sum of its proper divisors (41789907738).

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

34114151142 is a wasteful number, since it uses less digits than its factorization.

34114151142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338049 (or 338046 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

Adding to 34114151142 its reverse (24115141143), we get a palindrome (58229292285).

Subtracting from 34114151142 its reverse (24115141143), we obtain a palindrome (9999009999).

The spelling of 34114151142 in words is "thirty-four billion, one hundred fourteen million, one hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 71 79 142 158 213 237 426 474 639 711 1278 1422 5609 11218 16827 33654 50481 100962 337891 675782 1013673 2027346 3041019 6082038 23990261 26693389 47980522 53386778 71970783 80080167 143941566 160160334 215912349 240240501 431824698 480481002 1895230619 3790461238 5685691857 11371383714 17057075571 34114151142