Search a number
-
+
4132413134592 = 28373131562663
BaseRepresentation
bin111100001000100111000…
…001000101011100000000
3112122001110222100212220020
4330020213001011130000
51020201140230301332
612442223203013440
7604362023040231
oct74104701053400
915561428325806
104132413134592
111353601534506
12568a8096a280
1323c8b9907452
1410401d0c7088
1572760adb82c
hex3c227045700

4132413134592 has 144 divisors (see below), whose sum is σ = 11234032389888. Its totient is φ = 1348228177920.

The previous prime is 4132413134581. The next prime is 4132413134609. The reversal of 4132413134592 is 2954313142314.

It is a happy number.

It is a congruent number.

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, 7063053 + ... + 7625715.

Almost surely, 24132413134592 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 4132413134592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617016194944).

4132413134592 is an abundant number, since it is smaller than the sum of its proper divisors (7101619255296).

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

4132413134592 is a wasteful number, since it uses less digits than its factorization.

4132413134592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562886 (or 562872 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 4132413134592 in words is "four trillion, one hundred thirty-two billion, four hundred thirteen million, one hundred thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 131 146 192 219 256 262 292 384 393 438 524 584 768 786 876 1048 1168 1572 1752 2096 2336 3144 3504 4192 4672 6288 7008 8384 9344 9563 12576 14016 16768 18688 19126 25152 28032 28689 33536 38252 50304 56064 57378 76504 100608 114756 153008 229512 306016 459024 562663 612032 918048 1125326 1224064 1687989 1836096 2250652 2448128 3375978 3672192 4501304 6751956 7344384 9002608 13503912 18005216 27007824 36010432 41074399 54015648 72020864 73708853 82148798 108031296 123223197 144041728 147417706 164297596 216062592 221126559 246446394 294835412 328595192 432125184 442253118 492892788 589670824 657190384 884506236 985785576 1179341648 1314380768 1769012472 1971571152 2358683296 2628761536 3538024944 3943142304 4717366592 5257523072 5380746269 7076049888 7886284608 9434733184 10515046144 10761492538 14152099776 15772569216 16142238807 18869466368 21522985076 28304199552 31545138432 32284477614 43045970152 56608399104 64568955228 86091940304 129137910456 172183880608 258275820912 344367761216 516551641824 688735522432 1033103283648 1377471044864 2066206567296 4132413134592