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4114144044 = 22322329315527
BaseRepresentation
bin1111010100111000…
…1101101100101100
3101121201111011122100
43311032031230230
531411210102134
61520124215100
7203644435023
oct36516155454
911551434570
104114144044
11182136634a
1296999a490
1350747807a
142b05878ba
151912c0999
hexf538db2c

4114144044 has 144 divisors (see below), whose sum is σ = 11590225920. Its totient is φ = 1225445760.

The previous prime is 4114144039. The next prime is 4114144051. The reversal of 4114144044 is 4404414114.

4114144044 is a `hidden beast` number, since 41 + 141 + 440 + 44 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4114143999 and 4114144017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741609 + ... + 747135.

It is an arithmetic number, because the mean of its divisors is an integer number (80487680).

Almost surely, 24114144044 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 4114144044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795112960).

4114144044 is an abundant number, since it is smaller than the sum of its proper divisors (7476081876).

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

4114144044 is a wasteful number, since it uses less digits than its factorization.

4114144044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4114144044 is about 64141.5937126604. The cubic root of 4114144044 is about 1602.3590258928.

Adding to 4114144044 its reverse (4404414114), we get a palindrome (8518558158).

The spelling of 4114144044 in words is "four billion, one hundred fourteen million, one hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 29 31 36 46 58 62 69 87 92 93 116 124 138 174 186 207 261 276 279 348 372 414 522 558 667 713 828 899 1044 1116 1334 1426 1798 2001 2139 2668 2697 2852 3596 4002 4278 5394 5527 6003 6417 8004 8091 8556 10788 11054 12006 12834 16182 16581 20677 22108 24012 25668 32364 33162 41354 49743 62031 66324 82708 99486 124062 127121 160283 171337 186093 198972 248124 254242 320566 342674 372186 381363 480849 508484 514011 641132 685348 744372 762726 961698 1028022 1144089 1442547 1525452 1542033 1923396 2056044 2288178 2885094 3084066 3686509 3940751 4576356 4968773 5770188 6168132 7373018 7881502 9937546 11059527 11822253 14746036 14906319 15763004 19875092 22119054 23644506 29812638 33178581 35466759 44238108 44718957 47289012 59625276 66357162 70933518 89437914 114281779 132714324 141867036 178875828 228563558 342845337 457127116 685690674 1028536011 1371381348 2057072022 4114144044