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1134320044224 = 263137244717623
BaseRepresentation
bin10000100000011010101…
…111100100100011000000
311000102212201021122200210
4100200122233210203000
5122041041412403344
62225033251114120
7144644336201343
oct20403257444300
94012781248623
101134320044224
113a8076103204
12163a095a2940
1382c7318a153
143cc8957645a
151e78d9bcdb9
hex1081abe48c0

1134320044224 has 112 divisors (see below), whose sum is σ = 3024535569408. Its totient is φ = 375172098048.

The previous prime is 1134320044219. The next prime is 1134320044229. The reversal of 1134320044224 is 4224400234311.

It is an interprime number because it is at equal distance from previous prime (1134320044219) and next prime (1134320044229).

It is a junction number, because it is equal to n+sod(n) for n = 1134320044191 and 1134320044200.

It is not an unprimeable number, because it can be changed into a prime (1134320044229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64357077 + ... + 64374699.

Almost surely, 21134320044224 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 1134320044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512267784704).

1134320044224 is an abundant number, since it is smaller than the sum of its proper divisors (1890215525184).

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

1134320044224 is a wasteful number, since it uses less digits than its factorization.

1134320044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20222 (or 20212 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1134320044224 its reverse (4224400234311), we get a palindrome (5358720278535).

The spelling of 1134320044224 in words is "one trillion, one hundred thirty-four billion, three hundred twenty million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 2447 3288 4384 4894 6576 7341 8768 9788 13152 14682 17623 19576 26304 29364 35246 39152 52869 58728 70492 78304 105738 117456 140984 156608 211476 234912 281968 335239 422952 469824 563936 670478 845904 1005717 1127872 1340956 1691808 2011434 2414351 2681912 3383616 4022868 4828702 5363824 7243053 8045736 9657404 10727648 14486106 16091472 19314808 21455296 28972212 32182944 38629616 43123481 57944424 64365888 77259232 86246962 115888848 129370443 154518464 172493924 231777696 258740886 344987848 463555392 517481772 689975696 1034963544 1379951392 2069927088 2759902784 4139854176 5907916897 8279708352 11815833794 17723750691 23631667588 35447501382 47263335176 70895002764 94526670352 141790005528 189053340704 283580011056 378106681408 567160022112 1134320044224