Search a number
-
+
4204001012432 = 241359874139191
BaseRepresentation
bin111101001011010001111…
…111001010101011010000
3112212220021001120212200012
4331023101333022223100
51022334243224344212
612535142535414052
7612505031001314
oct75132177125320
915786231525605
104204001012432
1113809a7a78711
1257a91b524328
13246588002090
14107690959b44
1574550804922
hex3d2d1fcaad0

4204001012432 has 80 divisors (see below), whose sum is σ = 8921732722560. Its totient is φ = 1907154700800.

The previous prime is 4204001012423. The next prime is 4204001012441. The reversal of 4204001012432 is 2342101004024.

It is an interprime number because it is at equal distance from previous prime (4204001012423) and next prime (4204001012441).

It is a junction number, because it is equal to n+sod(n) for n = 4204001012398 and 4204001012407.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 107249957 + ... + 107289147.

It is an arithmetic number, because the mean of its divisors is an integer number (111521659032).

Almost surely, 24204001012432 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 4204001012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460866361280).

4204001012432 is an abundant number, since it is smaller than the sum of its proper divisors (4717731710128).

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

4204001012432 is a wasteful number, since it uses less digits than its factorization.

4204001012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48012 (or 48006 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 4204001012432 its reverse (2342101004024), we get a palindrome (6546102016456).

The spelling of 4204001012432 in words is "four trillion, two hundred four billion, one million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 208 236 472 767 944 1534 3068 6136 8741 12272 17482 34964 39191 69928 78382 113633 139856 156764 227266 313528 454532 509483 515719 627056 909064 1018966 1031438 1818128 2037932 2062876 2312269 4075864 4125752 4624538 6704347 8151728 8251504 9249076 13408694 18498152 26817388 30059497 36996304 53634776 60118994 107269552 120237988 240475976 342568531 480951952 685137062 1370274124 2740548248 4453390903 5481096496 8906781806 17813563612 20211543329 35627127224 40423086658 71254254448 80846173316 161692346632 262750063277 323384693264 525500126554 1051000253108 2102000506216 4204001012432