Search a number
-
+
34014551124 = 2232923798893
BaseRepresentation
bin11111101011011011…
…001101110001010100
310020210112101020012210
4133223123031301110
51024130211113444
623343121513420
72312624625351
oct375333156124
9106715336183
1034014551124
1113475366784
1267134a2870
13329100ca38
1419096a9628
15d412c57b9
hex7eb6cdc54

34014551124 has 72 divisors (see below), whose sum is σ = 82424611360. Its totient is φ = 10917099648.

The previous prime is 34014551111. The next prime is 34014551161. The reversal of 34014551124 is 42115541043.

It is a junction number, because it is equal to n+sod(n) for n = 34014551091 and 34014551100.

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, 3820422 + ... + 3829314.

Almost surely, 234014551124 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 34014551124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212305680).

34014551124 is an abundant number, since it is smaller than the sum of its proper divisors (48410060236).

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

34014551124 is a wasteful number, since it uses less digits than its factorization.

34014551124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 34014551124 in words is "thirty-four billion, fourteen million, five hundred fifty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 379 758 841 1137 1516 1682 2274 2523 3364 4548 5046 8893 10092 10991 17786 21982 26679 32973 35572 43964 53358 65946 106716 131892 257897 318739 515794 637478 773691 956217 1031588 1274956 1547382 1912434 3094764 3370447 3824868 6740894 7479013 10111341 13481788 14958026 20222682 22437039 29916052 40445364 44874078 89748156 97742963 195485926 293228889 390971852 586457778 1172915556 2834545927 5669091854 8503637781 11338183708 17007275562 34014551124