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30224114144 = 257231709877
BaseRepresentation
bin11100001001011111…
…110110000111100000
32220000101000002011222
4130021133312013200
5443344333123034
621515035354212
72116660505600
oct341137660740
986011002158
1030224114144
11118aa7a7334
125a35bb2968
132b08943313
14166a106c00
15bbd64812e
hex7097f61e0

30224114144 has 144 divisors (see below), whose sum is σ = 71633842560. Its totient is φ = 12503393280.

The previous prime is 30224114111. The next prime is 30224114161. The reversal of 30224114144 is 44141142203.

It is a super-3 number, since 3×302241141443 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34462634 + ... + 34463510.

It is an arithmetic number, because the mean of its divisors is an integer number (497457240).

Almost surely, 230224114144 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 30224114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35816921280).

30224114144 is an abundant number, since it is smaller than the sum of its proper divisors (41409728416).

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

30224114144 is a wasteful number, since it uses less digits than its factorization.

30224114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 30224114144 its reverse (44141142203), we get a palindrome (74365256347).

The spelling of 30224114144 in words is "thirty billion, two hundred twenty-four million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 709 784 868 877 992 1418 1519 1568 1736 1754 2836 3038 3472 3508 4963 5672 6076 6139 6944 7016 9926 11344 12152 12278 14032 19852 21979 22688 24304 24556 27187 28064 34741 39704 42973 43958 48608 49112 54374 69482 79408 85946 87916 98224 108748 138964 153853 158816 171892 175832 190309 196448 217496 277928 307706 343784 351664 380618 434992 555856 615412 621793 687568 703328 761236 869984 1076971 1111712 1230824 1243586 1332163 1375136 1522472 2153942 2461648 2487172 2664326 3044944 4307884 4352551 4923296 4974344 5328652 6089888 8615768 8705102 9948688 10657304 17231536 17410204 19275583 19897376 21314608 30467857 34463072 34820408 38551166 42629216 60935714 69640816 77102332 121871428 134929081 139281632 154204664 243742856 269858162 308409328 487485712 539716324 616818656 944503567 974971424 1079432648 1889007134 2158865296 3778014268 4317730592 7556028536 15112057072 30224114144