Search a number
-
+
11400453432 = 23334310931123
BaseRepresentation
bin10101001111000010…
…10001110100111000
31002102111222001002000
422213201101310320
5141322004002212
65123131141000
7552341153364
oct124741216470
932374861060
1011400453432
114920293445
122261ba4760
1310c8b97444
147a21522a4
1546ace21dc
hex2a7851d38

11400453432 has 128 divisors (see below), whose sum is σ = 32462918400. Its totient is φ = 3705077376.

The previous prime is 11400453409. The next prime is 11400453439. The reversal of 11400453432 is 23435400411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11400453396 and 11400453405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400453439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10151223 + ... + 10152345.

It is an arithmetic number, because the mean of its divisors is an integer number (253616550).

Almost surely, 211400453432 is an apocalyptic number.

11400453432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400453432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231459200).

11400453432 is an abundant number, since it is smaller than the sum of its proper divisors (21062464968).

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

11400453432 is a wasteful number, since it uses less digits than its factorization.

11400453432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 11400453432 its reverse (23435400411), we get a palindrome (34835853843).

The spelling of 11400453432 in words is "eleven billion, four hundred million, four hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1093 1123 1161 1548 2186 2246 2322 3096 3279 3369 4372 4492 4644 6558 6738 8744 8984 9288 9837 10107 13116 13476 19674 20214 26232 26952 29511 30321 39348 40428 46999 48289 59022 60642 78696 80856 93998 96578 118044 121284 140997 144867 187996 193156 236088 242568 281994 289734 375992 386312 422991 434601 563988 579468 845982 869202 1127976 1158936 1227439 1268973 1303803 1691964 1738404 2454878 2537946 2607606 3383928 3476808 3682317 4909756 5075892 5215212 7364634 9819512 10151784 10430424 11046951 14729268 22093902 29458536 33140853 44187804 52779877 66281706 88375608 105559754 132563412 158339631 211119508 265126824 316679262 422239016 475018893 633358524 950037786 1266717048 1425056679 1900075572 2850113358 3800151144 5700226716 11400453432