Search a number
-
+
1443801454144 = 26733715116329
BaseRepresentation
bin10101000000101001010…
…001011101011001000000
312010000201000011012201021
4111000221101131121000
5142123401133013034
63023135003515224
7206211513604360
oct25005121353100
95100630135637
101443801454144
11507349310075
121b399a228b14
13a61c441268a
144dc47a069a0
152785374d6b4
hex1502945d640

1443801454144 has 112 divisors (see below), whose sum is σ = 3286744231680. Its totient is φ = 616430223360.

The previous prime is 1443801454127. The next prime is 1443801454153. The reversal of 1443801454144 is 4414541083441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1443801454144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228121572 + ... + 228127900.

It is an arithmetic number, because the mean of its divisors is an integer number (29345930640).

Almost surely, 21443801454144 is an apocalyptic number.

1443801454144 is a gapful number since it is divisible by the number (14) 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 1443801454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643372115840).

1443801454144 is an abundant number, since it is smaller than the sum of its proper divisors (1842942777536).

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

1443801454144 is a wasteful number, since it uses less digits than its factorization.

1443801454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 1443801454144 in words is "one trillion, four hundred forty-three billion, eight hundred one million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 337 448 674 1348 1511 2359 2696 3022 4718 5392 6044 6329 9436 10577 10784 12088 12658 18872 21154 21568 24176 25316 37744 42308 44303 48352 50632 75488 84616 88606 96704 101264 150976 169232 177212 202528 338464 354424 405056 509207 676928 708848 1018414 1417696 2036828 2132873 2835392 3564449 4073656 4265746 7128898 8147312 8531492 9563119 14257796 14930111 16294624 17062984 19126238 28515592 29860222 32589248 34125968 38252476 57031184 59720444 66941833 68251936 76504952 114062368 119440888 133883666 136503872 153009904 228124736 238881776 267767332 306019808 477763552 535534664 612039616 955527104 1071069328 2142138656 3222771103 4284277312 6445542206 12891084412 22559397721 25782168824 45118795442 51564337648 90237590884 103128675296 180475181768 206257350592 360950363536 721900727072 1443801454144