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124114434030 = 23352929095449
BaseRepresentation
bin111001110010111001…
…0111111011111101110
3102212100202012111221000
41303211302333133232
54013141243342110
6133003431021130
711652446165616
oct1634562773756
9385322174830
10124114434030
11487003a9324
122007980a7a6
13b91c734412
146015967a46
1533662d21c0
hex1ce5cbf7ee

124114434030 has 128 divisors (see below), whose sum is σ = 342565200000. Its totient is φ = 31939052544.

The previous prime is 124114434029. The next prime is 124114434047. The reversal of 124114434030 is 30434411421.

124114434030 is a `hidden beast` number, since 1 + 241 + 14 + 4 + 3 + 403 + 0 = 666.

124114434030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124114433985 and 124114434003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22774746 + ... + 22780194.

It is an arithmetic number, because the mean of its divisors is an integer number (2676290625).

Almost surely, 2124114434030 is an apocalyptic number.

124114434030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124114434030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171282600000).

124114434030 is an abundant number, since it is smaller than the sum of its proper divisors (218450765970).

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

124114434030 is a wasteful number, since it uses less digits than its factorization.

124114434030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 124114434030 its reverse (30434411421), we get a palindrome (154548845451).

The spelling of 124114434030 in words is "one hundred twenty-four billion, one hundred fourteen million, four hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 2909 3915 5449 5818 7830 8727 10898 14545 16347 17454 26181 27245 29090 32694 43635 49041 52362 54490 78543 81735 84361 87270 98082 130905 147123 157086 158021 163470 168722 245205 253083 261810 294246 316042 392715 421805 474063 490410 506166 735615 759249 785430 790105 843610 948126 1265415 1422189 1471230 1518498 1580210 2277747 2370315 2530830 2844378 3796245 4266567 4555494 4740630 7110945 7592490 8533134 11388735 14221890 15851141 21332835 22777470 31702282 42665670 47553423 79255705 95106846 142660269 158511410 237767115 285320538 427980807 459683089 475534230 713301345 855961614 919366178 1379049267 1426602690 2139904035 2298415445 2758098534 4137147801 4279808070 4596830890 6895246335 8274295602 12411443403 13790492670 20685739005 24822886806 41371478010 62057217015 124114434030