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4044456234 = 2327134160223
BaseRepresentation
bin1111000100010001…
…1000000100101010
3101102212100122221100
43301010120010222
531240340044414
61505154422230
7202140211410
oct36104300452
911385318840
104044456234
111795a98915
1294a591976
134c5bb8690
142a52072b0
1518a107609
hexf111812a

4044456234 has 96 divisors (see below), whose sum is σ = 11048454144. Its totient is φ = 1040636160.

The previous prime is 4044456233. The next prime is 4044456239. The reversal of 4044456234 is 4326544404.

It is not an unprimeable number, because it can be changed into a prime (4044456233) 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, 37047 + ... + 97269.

It is an arithmetic number, because the mean of its divisors is an integer number (115088064).

Almost surely, 24044456234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044456234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524227072).

4044456234 is an abundant number, since it is smaller than the sum of its proper divisors (7003997910).

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

4044456234 is a wasteful number, since it uses less digits than its factorization.

4044456234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60292 (or 60289 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The square root of 4044456234 is about 63596.0394521546. The cubic root of 4044456234 is about 1593.2602216160.

The spelling of 4044456234 in words is "four billion, forty-four million, four hundred fifty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 41 42 63 78 82 91 117 123 126 182 234 246 273 287 369 533 546 574 738 819 861 1066 1599 1638 1722 2583 3198 3731 4797 5166 7462 9594 11193 22386 33579 60223 67158 120446 180669 361338 421561 542007 782899 843122 1084014 1264683 1565798 2348697 2469143 2529366 3794049 4697394 4938286 5480293 7046091 7407429 7588098 10960586 14092182 14814858 16440879 17284001 22222287 32098859 32881758 34568002 44444574 49322637 51852003 64197718 96296577 98645274 103704006 155556009 192593154 224692013 288889731 311112018 449384026 577779462 674076039 1348152078 2022228117 4044456234