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334113142044 = 2231153174727337
BaseRepresentation
bin1001101110010101011…
…00011111010100011100
31011221101220211012021110
410313022230133110130
520433230431021134
6413253420102020
733065430564063
oct4671254372434
91157356735243
10334113142044
11119773181880
1254905994910
13256783aa966
14122579531da
158a5745b7e9
hex4dcab1f51c

334113142044 has 96 divisors (see below), whose sum is σ = 867044134656. Its totient is φ = 99275604480.

The previous prime is 334113142043. The next prime is 334113142091. The reversal of 334113142044 is 440241311433.

It is a super-2 number, since 2×3341131420442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334113142043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12208344 + ... + 12235680.

It is an arithmetic number, because the mean of its divisors is an integer number (9031709736).

Almost surely, 2334113142044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334113142044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433522067328).

334113142044 is an abundant number, since it is smaller than the sum of its proper divisors (532930992612).

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

334113142044 is a wasteful number, since it uses less digits than its factorization.

334113142044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29155 (or 29153 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 334113142044 its reverse (440241311433), we get a palindrome (774354453477).

The spelling of 334113142044 in words is "three hundred thirty-four billion, one hundred thirteen million, one hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1747 1749 2332 3494 3498 5241 6988 6996 10482 19217 20964 27337 38434 54674 57651 76868 82011 92591 109348 115302 164022 185182 230604 277773 300707 328044 370364 555546 601414 902121 1018501 1111092 1202828 1448861 1804242 2037002 2897722 3055503 3608484 4074004 4346583 5795444 6111006 8693166 12222012 15937471 17386332 31874942 47757739 47812413 63749884 95515478 95624826 143273217 191030956 191249652 286546434 525335129 573092868 1050670258 1576005387 2101340516 2531160167 3152010774 5062320334 6304021548 7593480501 10124640668 15186961002 27842761837 30373922004 55685523674 83528285511 111371047348 167056571022 334113142044