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4233431413420 = 225111710091121837
BaseRepresentation
bin111101100110101100001…
…011001111001010101100
3112222201020010002011002121
4331212230023033022230
51023330031420212140
613000451143202324
7614566243166536
oct75465413171254
915881203064077
104233431413420
11139242a738560
125845737463a4
13249298383c31
14108c83492856
15751c441864a
hex3d9ac2cf2ac

4233431413420 has 96 divisors (see below), whose sum is σ = 10279087479360. Its totient is φ = 1447437680640.

The previous prime is 4233431413381. The next prime is 4233431413451. The reversal of 4233431413420 is 243141343324.

It is a super-3 number, since 3×42334314134203 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3212742 + ... + 4334578.

It is an arithmetic number, because the mean of its divisors is an integer number (107073827910).

Almost surely, 24233431413420 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 4233431413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139543739680).

4233431413420 is an abundant number, since it is smaller than the sum of its proper divisors (6045656065940).

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

4233431413420 is a wasteful number, since it uses less digits than its factorization.

4233431413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122883 (or 1122881 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 4233431413420 its reverse (243141343324), we get a palindrome (4476572756744).

The spelling of 4233431413420 in words is "four trillion, two hundred thirty-three billion, four hundred thirty-one million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1009 1870 2018 3740 4036 5045 10090 11099 17153 20180 22198 34306 44396 55495 68612 85765 110990 171530 188683 221980 343060 377366 754732 943415 1121837 1886830 2243674 3773660 4487348 5609185 11218370 12340207 19071229 22436740 24680414 38142458 49360828 61701035 76284916 95356145 123402070 190712290 209783519 246804140 381424580 419567038 839134076 1048917595 1131933533 2097835190 2263867066 4195670380 4527734132 5659667665 11319335330 12451268863 19242870061 22638670660 24902537726 38485740122 49805075452 62256344315 76971480244 96214350305 124512688630 192428700610 211671570671 249025377260 384857401220 423343141342 846686282684 1058357853355 2116715706710 4233431413420