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40430135131020 = 22335634091180757
BaseRepresentation
bin10010011000101010111111…
…10101111011101110001100
312022011002020122001122121000
421030111133311323232030
520244401404043143040
6221553203032540300
711341660303244415
oct1114253765735614
9168132218048530
1040430135131020
11119783622a7428
12464b76a551690
131973712291c7b
149dab86a2080c
154a1a32033130
hex24c55fd7bb8c

40430135131020 has 96 divisors (see below), whose sum is σ = 125784732830400. Its totient is φ = 10781190208512.

The previous prime is 40430135131007. The next prime is 40430135131031. The reversal of 40430135131020 is 2013153103404.

It is a happy number.

40430135131020 is a `hidden beast` number, since 4 + 0 + 4 + 30 + 13 + 513 + 102 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33650482 + ... + 34831238.

It is an arithmetic number, because the mean of its divisors is an integer number (1310257633650).

Almost surely, 240430135131020 is an apocalyptic number.

It is an amenable number.

40430135131020 is an abundant number, since it is smaller than the sum of its proper divisors (85354597699380).

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

40430135131020 is a wasteful number, since it uses less digits than its factorization.

40430135131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244184 (or 1244176 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 40430135131020 its reverse (2013153103404), we get a palindrome (42443288234424).

The spelling of 40430135131020 in words is "forty trillion, four hundred thirty billion, one hundred thirty-five million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 63409 126818 190227 253636 317045 380454 570681 634090 760908 951135 1141362 1180757 1268180 1712043 1902270 2282724 2361514 2853405 3424086 3542271 3804540 4723028 5706810 5903785 6848172 7084542 8560215 10626813 11413620 11807570 14169084 17120430 17711355 21253626 23615140 31880439 34240860 35422710 42507252 53134065 63760878 70845420 106268130 127521756 159402195 212536260 318804390 637608780 74870620613 149741241226 224611861839 299482482452 374353103065 449223723678 673835585517 748706206130 898447447356 1123059309195 1347671171034 1497412412260 2021506756551 2246118618390 2695342342068 3369177927585 4043013513102 4492237236780 6738355855170 8086027026204 10107533782755 13476711710340 20215067565510 40430135131020