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1040123114424 = 233417925213557
BaseRepresentation
bin11110010001011000010…
…10110011001110111000
310200102201222010211020000
433020230022303032320
5114020133004130144
62113454224033000
7135101135412012
oct17105412631670
93612658124200
101040123114424
11371128422699
121496bb162760
13771109c5774
14384b11011b2
151c0c8e6b769
hexf22c2b33b8

1040123114424 has 160 divisors (see below), whose sum is σ = 2931569269200. Its totient is φ = 344537141760.

The previous prime is 1040123114423. The next prime is 1040123114449. The reversal of 1040123114424 is 4244113210401.

1040123114424 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 231 + 1 + 4 + 424 = 666.

1040123114424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040123114423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292414054 + ... + 292417610.

Almost surely, 21040123114424 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 1040123114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465784634600).

1040123114424 is an abundant number, since it is smaller than the sum of its proper divisors (1891446154776).

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

1040123114424 is a wasteful number, since it uses less digits than its factorization.

1040123114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6275 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1040123114424 its reverse (4244113210401), we get a palindrome (5284236324825).

It can be divided in two parts, 104012 and 3114424, that added together give a square (3218436 = 17942).

The spelling of 1040123114424 in words is "one trillion, forty billion, one hundred twenty-three million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 179 216 324 358 537 648 716 1074 1432 1611 2148 2521 3222 3557 4296 4833 5042 6444 7114 7563 9666 10084 10671 12888 14228 14499 15126 19332 20168 21342 22689 28456 28998 30252 32013 38664 42684 45378 57996 60504 64026 68067 85368 90756 96039 115992 128052 136134 181512 192078 204201 256104 272268 288117 384156 408402 451259 544536 576234 636703 768312 816804 902518 1152468 1273406 1353777 1633608 1805036 1910109 2304936 2546812 2707554 3610072 3820218 4061331 5093624 5415108 5730327 7640436 8122662 8967197 10830216 11460654 12183993 15280872 16245324 17190981 17934394 22921308 24367986 26901591 32490648 34381962 35868788 36551979 45842616 48735972 51572943 53803182 68763924 71737576 73103958 80704773 97471944 103145886 107606364 137527848 146207916 161409546 206291772 215212728 242114319 292415832 322819092 412583544 484228638 645638184 726342957 968457276 1452685914 1605128263 1936914552 2905371828 3210256526 4815384789 5810743656 6420513052 9630769578 12841026104 14446154367 19261539156 28892308734 38523078312 43338463101 57784617468 86676926202 115569234936 130015389303 173353852404 260030778606 346707704808 520061557212 1040123114424