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34342241142 = 23115389110311
BaseRepresentation
bin11111111110111101…
…010000001101110110
310021122100222121102010
4133332331100031312
51030313103204032
623435425225050
72324014143006
oct377675201566
9107570877363
1034342241142
1113623333080
1267a5192186
133313b84261
14193b00a006
15d5ee53ccc
hex7fef50376

34342241142 has 64 divisors (see below), whose sum is σ = 77200750080. Its totient is φ = 10095571200.

The previous prime is 34342241081. The next prime is 34342241179. The reversal of 34342241142 is 24114224343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256167 + ... + 366477.

It is an arithmetic number, because the mean of its divisors is an integer number (1206261720).

Almost surely, 234342241142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34342241142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38600375040).

34342241142 is an abundant number, since it is smaller than the sum of its proper divisors (42858508938).

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

34342241142 is a wasteful number, since it uses less digits than its factorization.

34342241142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110469.

The product of its digits is 18432, while the sum is 30.

Adding to 34342241142 its reverse (24114224343), we get a palindrome (58456465485).

The spelling of 34342241142 in words is "thirty-four billion, three hundred forty-two million, two hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 89 106 159 178 267 318 534 583 979 1166 1749 1958 2937 3498 4717 5874 9434 14151 28302 51887 103774 110311 155661 220622 311322 330933 661866 1213421 2426842 3640263 5846483 7280526 9817679 11692966 17539449 19635358 29453037 35078898 58906074 64311313 107994469 128622626 192933939 215988938 323983407 385867878 520336987 647966814 1040673974 1561010961 3122021922 5723706857 11447413714 17171120571 34342241142