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4123432404 = 22327131677537
BaseRepresentation
bin1111010111000110…
…1001010111010100
3101122100222001212200
43311301221113110
531421044314104
61521055244500
7204116411550
oct36561512724
911570861780
104123432404
11182662a883
12970b19730
1350937aa40
142b18c4860
15192007b39
hexf5c695d4

4123432404 has 144 divisors (see below), whose sum is σ = 12906985728. Its totient is φ = 1080843264.

The previous prime is 4123432393. The next prime is 4123432463. The reversal of 4123432404 is 4042343214.

It is a happy number.

4123432404 is a `hidden beast` number, since 412 + 3 + 4 + 3 + 240 + 4 = 666.

It is a super-3 number, since 3×41234324043 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 543324 + ... + 550860.

Almost surely, 24123432404 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 4123432404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453492864).

4123432404 is an abundant number, since it is smaller than the sum of its proper divisors (8783553324).

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

4123432404 is a wasteful number, since it uses less digits than its factorization.

4123432404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4123432404 is about 64213.9580153723. The cubic root of 4123432404 is about 1603.5639829755.

Adding to 4123432404 its reverse (4042343214), we get a palindrome (8165775618).

The spelling of 4123432404 in words is "four billion, one hundred twenty-three million, four hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 167 182 234 252 273 334 364 468 501 546 668 819 1002 1092 1169 1503 1638 2004 2171 2338 3006 3276 3507 4342 4676 6012 6513 7014 7537 8684 10521 13026 14028 15074 15197 19539 21042 22611 26052 30148 30394 39078 42084 45222 45591 52759 60788 67833 78156 90444 91182 97981 105518 135666 136773 158277 182364 195962 211036 271332 273546 293943 316554 391924 474831 547092 587886 633108 685867 881829 949662 1175772 1258679 1371734 1763658 1899324 2057601 2517358 2743468 3527316 3776037 4115202 5034716 6172803 7552074 8230404 8810753 11328111 12345606 15104148 16362827 17621506 22656222 24691212 26432259 32725654 35243012 45312444 49088481 52864518 65451308 79296777 98176962 105729036 114539789 147265443 158593554 196353924 229079578 294530886 317187108 343619367 458159156 589061772 687238734 1030858101 1374477468 2061716202 4123432404