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1144115455023 = 321721633178513
BaseRepresentation
bin10000101001100010100…
…110000110010000101111
311001101011101002002012100
4100221202212012100233
5122221122024030043
62233333244510143
7145442150623332
oct20514246062057
94041141062170
101144115455023
11401242390332
121658a1b4b353
1383b74674508
143d538480619
151eb63916cd3
hex10a6298642f

1144115455023 has 72 divisors (see below), whose sum is σ = 1772092312848. Its totient is φ = 711137968128.

The previous prime is 1144115454983. The next prime is 1144115455031. The reversal of 1144115455023 is 3205545114411.

1144115455023 is a `hidden beast` number, since 1 + 1 + 4 + 41 + 1 + 545 + 50 + 23 = 666.

It is not a de Polignac number, because 1144115455023 - 214 = 1144115438639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144115455073) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 134392015 + ... + 134400527.

It is an arithmetic number, because the mean of its divisors is an integer number (24612393234).

Almost surely, 21144115455023 is an apocalyptic number.

1144115455023 is a deficient number, since it is larger than the sum of its proper divisors (627976857825).

1144115455023 is a wasteful number, since it uses less digits than its factorization.

1144115455023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9033 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 1144115455023 in words is "one trillion, one hundred forty-four billion, one hundred fifteen million, four hundred fifty-five thousand, twenty-three".

Divisors: 1 3 9 17 51 153 163 289 317 489 867 951 1467 2601 2771 2853 5389 8313 8513 16167 24939 25539 47107 48501 51671 76617 91613 141321 144721 155013 274839 423963 434163 465039 824517 878407 1302489 1387619 2460257 2635221 2698621 4162857 7380771 7905663 8095863 12488571 14932919 22142313 23589523 24287589 44798757 45876557 70768569 134396271 137629671 212305707 401021891 412889013 439875223 779901469 1203065673 1319625669 2339704407 3609197019 3958877007 7019113221 7477878791 22433636373 67300909119 127123939447 381371818341 1144115455023