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4412035134 = 2321331797699
BaseRepresentation
bin1000001101111101…
…00101000000111110
3102101111000121101200
410012332211000332
533013440111014
62005445120330
7214222452123
oct40676450076
912344017350
104412035134
11196452a331
12a316b90a6
135540b7ca0
142dbd6c74a
151ac514a09
hex106fa503e

4412035134 has 96 divisors (see below), whose sum is σ = 10762752000. Its totient is φ = 1296959040.

The previous prime is 4412035127. The next prime is 4412035171. The reversal of 4412035134 is 4315302144.

It is a happy number.

4412035134 is a `hidden beast` number, since 441 + 203 + 5 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4412035098 and 4412035107.

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, 569217 + ... + 576915.

It is an arithmetic number, because the mean of its divisors is an integer number (112112000).

Almost surely, 24412035134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412035134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381376000).

4412035134 is an abundant number, since it is smaller than the sum of its proper divisors (6350716866).

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

4412035134 is a wasteful number, since it uses less digits than its factorization.

4412035134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7830 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4412035134 is about 66423.1520932273. The cubic root of 4412035134 is about 1640.1352176335.

Adding to 4412035134 its reverse (4315302144), we get a palindrome (8727337278).

The spelling of 4412035134 in words is "four billion, four hundred twelve million, thirty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 79 93 117 158 186 234 237 279 403 474 558 711 806 1027 1209 1422 2054 2418 2449 3081 3627 4898 6162 7254 7347 7699 9243 14694 15398 18486 22041 23097 31837 44082 46194 63674 69291 95511 100087 138582 191022 200174 238669 286533 300261 477338 573066 600522 608221 716007 900783 1216442 1432014 1801566 1824663 2148021 3102697 3649326 4296042 5473989 6205394 7906873 9308091 10947978 15813746 18616182 18854851 23720619 27924273 37709702 47441238 55848546 56564553 71161857 113129106 142323714 169693659 245113063 339387318 490226126 735339189 1470678378 2206017567 4412035134