Search a number
-
+
4431234415401 = 342353349128591
BaseRepresentation
bin100000001111011101000…
…1001110011101100101001
3120200121210100022202220000
41000132322021303230221
51040100132002243101
613231403032053213
7635101056026523
oct100367211635451
916617710282800
104431234415401
11145930433a612
125b6977534209
13261b2c482c81
14114689878a13
157a3eea65486
hex407ba273b29

4431234415401 has 80 divisors (see below), whose sum is σ = 7057849075200. Its totient is φ = 2764433992320.

The previous prime is 4431234415379. The next prime is 4431234415453. The reversal of 4431234415401 is 1045144321344.

It is a happy number.

4431234415401 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 234 + 4 + 15 + 401 = 666.

It is not a de Polignac number, because 4431234415401 - 25 = 4431234415369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4431234415001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34395616 + ... + 34524206.

It is an arithmetic number, because the mean of its divisors is an integer number (88223113440).

Almost surely, 24431234415401 is an apocalyptic number.

It is an amenable number.

4431234415401 is a deficient number, since it is larger than the sum of its proper divisors (2626614659799).

4431234415401 is a wasteful number, since it uses less digits than its factorization.

4431234415401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129028 (or 129019 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4431234415401 its reverse (1045144321344), we get a palindrome (5476378736745).

The spelling of 4431234415401 in words is "four trillion, four hundred thirty-one billion, two hundred thirty-four million, four hundred fifteen thousand, four hundred one".

Divisors: 1 3 9 23 27 53 69 81 159 207 349 477 621 1047 1219 1431 1863 3141 3657 4293 8027 9423 10971 18497 24081 28269 32913 55491 72243 98739 128591 166473 216729 385773 425431 499419 650187 1157319 1276293 1498257 2957593 3471957 3828879 6815323 8872779 10415871 11486637 20445969 26618337 34459911 44878259 61337907 79855011 134634777 156752429 184013721 239565033 403904331 470257287 552041163 1032199957 1211712993 1410771861 2378547727 3096599871 3635138979 4232315583 7135643181 9289799613 12696946749 21406929543 27869398839 54706597721 64220788629 83608196517 164119793163 192662365887 492359379489 1477078138467 4431234415401