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1124413424334 = 237831130931
BaseRepresentation
bin10000010111001100010…
…000110100001011001110
310222111022022020020000000
4100113030100310023032
5121410244314034314
62220314241545130
7144144004260534
oct20271420641316
93874268206000
101124413424334
113a3952079042
12161b039451a6
13820549362a5
143c5c99a0154
151e3ade08209
hex105cc4342ce

1124413424334 has 64 divisors (see below), whose sum is σ = 2529930754560. Its totient is φ = 374747261400.

The previous prime is 1124413424279. The next prime is 1124413424371. The reversal of 1124413424334 is 4334243144211.

1124413424334 is a `hidden beast` number, since 1 + 1 + 244 + 1 + 342 + 43 + 34 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36336849 + ... + 36367779.

It is an arithmetic number, because the mean of its divisors is an integer number (39530168040).

Almost surely, 21124413424334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124413424334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264965377280).

1124413424334 is an abundant number, since it is smaller than the sum of its proper divisors (1405517330226).

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

1124413424334 is an frugal number, since it uses more digits than its factorization.

1124413424334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39265 (or 39247 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 1124413424334 its reverse (4334243144211), we get a palindrome (5458656568545).

The spelling of 1124413424334 in words is "one trillion, one hundred twenty-four billion, four hundred thirteen million, four hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 8311 16622 24933 30931 49866 61862 74799 92793 149598 185586 224397 278379 448794 556758 673191 835137 1346382 1670274 2019573 2505411 4039146 5010822 6058719 7516233 12117438 15032466 18176157 22548699 36352314 45097398 67646097 135292194 257067541 514135082 771202623 1542405246 2313607869 4627215738 6940823607 13881647214 20822470821 41644941642 62467412463 124934824926 187402237389 374804474778 562206712167 1124413424334