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3000214234134 = 2321329490390173
BaseRepresentation
bin101011101010001010101…
…101000010010000010110
3101121211002002101111102200
4223222022231002100112
5343123414320443014
610214140203145330
7426521051134305
oct53521255022026
911554062344380
103000214234134
11a574247a0a87
12405565815246
13189bc402c070
14a52d554243c
1553098460a09
hex2ba8ab42416

3000214234134 has 96 divisors (see below), whose sum is σ = 7243453788480. Its totient is φ = 891118658304.

The previous prime is 3000214234133. The next prime is 3000214234153. The reversal of 3000214234134 is 4314324120003.

3000214234134 is a `hidden beast` number, since 30 + 0 + 0 + 214 + 2 + 3 + 413 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3000214234098 and 3000214234107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000214234133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33226672 + ... + 33316844.

It is an arithmetic number, because the mean of its divisors is an integer number (75452643630).

Almost surely, 23000214234134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000214234134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621726894240).

3000214234134 is an abundant number, since it is smaller than the sum of its proper divisors (4243239554346).

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

3000214234134 is a wasteful number, since it uses less digits than its factorization.

3000214234134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95126 (or 95123 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3000214234134 its reverse (4314324120003), we get a palindrome (7314538354137).

The spelling of 3000214234134 in words is "three trillion, two hundred fourteen million, two hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 4903 6786 9806 14709 29418 44127 63739 88254 90173 127478 142187 180346 191217 270519 284374 382434 426561 541038 573651 811557 853122 1147302 1172249 1279683 1623114 1848431 2344498 2559366 2615017 3516747 3696862 5230034 5545293 7033494 7845051 10550241 11090586 15690102 16635879 21100482 23535153 33271758 33995221 47070306 67990442 101985663 203971326 305956989 442118219 611913978 884236438 1326354657 2652709314 3979063971 5747536847 7958127942 11495073694 12821428351 17242610541 25642856702 34485221082 38464285053 51727831623 76928570106 103455663246 115392855159 166678568563 230785710318 333357137126 500035705689 1000071411378 1500107117067 3000214234134