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4224841434 = 23211231039007
BaseRepresentation
bin1111101111010001…
…1111011011011010
3101220102210011220200
43323310133123122
532123024411214
61535121003030
7206460362652
oct37364373332
911812704820
104224841434
1118788a39a0
1299aa83476
13524395998
142c1161362
1519ad89d09
hexfbd1f6da

4224841434 has 96 divisors (see below), whose sum is σ = 10522497024. Its totient is φ = 1212567840.

The previous prime is 4224841427. The next prime is 4224841447. The reversal of 4224841434 is 4341484224.

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, 464559 + ... + 473565.

It is an arithmetic number, because the mean of its divisors is an integer number (109609344).

Almost surely, 24224841434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224841434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261248512).

4224841434 is an abundant number, since it is smaller than the sum of its proper divisors (6297655590).

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

4224841434 is a wasteful number, since it uses less digits than its factorization.

4224841434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9152 (or 9149 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 4224841434 is about 64998.7802500939. The cubic root of 4224841434 is about 1616.6033381412.

The spelling of 4224841434 in words is "four billion, two hundred twenty-four million, eight hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 103 138 198 206 207 253 309 414 506 618 759 927 1133 1518 1854 2266 2277 2369 3399 4554 4738 6798 7107 9007 10197 14214 18014 20394 21321 26059 27021 42642 52118 54042 78177 81063 99077 156354 162126 198154 207161 234531 297231 414322 469062 594462 621483 891693 927721 1242966 1783386 1855442 1864449 2278771 2783163 3728898 4557542 5566326 6836313 8349489 10204931 13672626 16698978 20409862 20508939 21337583 30614793 41017878 42675166 61229586 64012749 91844379 128025498 183688758 192038247 234713413 384076494 469426826 704140239 1408280478 2112420717 4224841434