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34020142314 = 23171971433571
BaseRepresentation
bin11111101011110000…
…100010110011101010
310020210220220021212220
4133223300202303222
51024133124023224
623343441414510
72313023303244
oct375360426352
9106726807786
1034020142314
11134785354a4
12671533a436
133292219932
14190a323094
15d41a2c279
hex7ebc22cea

34020142314 has 128 divisors (see below), whose sum is σ = 77215057920. Its totient is φ = 9928396800.

The previous prime is 34020142313. The next prime is 34020142361. The reversal of 34020142314 is 41324102043.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34020142313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59579649 + ... + 59580219.

It is an arithmetic number, because the mean of its divisors is an integer number (603242640).

Almost surely, 234020142314 is an apocalyptic number.

34020142314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34020142314 is an abundant number, since it is smaller than the sum of its proper divisors (43194915606).

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

34020142314 is a wasteful number, since it uses less digits than its factorization.

34020142314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34020142314 its reverse (41324102043), we get a palindrome (75344244357).

The spelling of 34020142314 in words is "thirty-four billion, twenty million, one hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 19 34 38 51 57 71 102 114 142 213 323 426 433 571 646 866 969 1142 1207 1299 1349 1713 1938 2414 2598 2698 3426 3621 4047 7242 7361 8094 8227 9707 10849 14722 16454 19414 21698 22083 22933 24681 29121 30743 32547 40541 44166 45866 49362 58242 61486 65094 68799 81082 92229 121623 137598 139859 184433 184458 243246 247243 279718 368866 419577 494486 522631 553299 584117 689197 741729 770279 839154 1045262 1106598 1168234 1378394 1483458 1540558 1567893 1752351 2067591 2310837 3135786 3504702 4135182 4203131 4621674 4697617 8406262 9395234 9929989 12609393 13094743 14092851 17554253 19859978 25218786 26189486 28185702 29789967 35108506 39284229 52662759 59579934 78568458 79859489 105325518 159718978 239578467 298422301 333530807 479156934 596844602 667061614 895266903 1000592421 1790533806 2001184842 5670023719 11340047438 17010071157 34020142314