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412040120131140 = 223547304163480379
BaseRepresentation
bin101110110101111111001000…
…0111111100101111001000100
32000000220122120102110001101020
41131223332100333211321010
5413001331131223144030
64020200341254431140
7152534626201304244
oct13553762077457104
92000818512401336
10412040120131140
1110a31a262a4a876
123a2681766624b0
13148bb2a7b616b7
1473a6bc3745b24
153298198365510
hex176bf90fe5e44

412040120131140 has 96 divisors (see below), whose sum is σ = 1178265733908480. Its totient is φ = 107538971661696.

The previous prime is 412040120131127. The next prime is 412040120131169. The reversal of 412040120131140 is 41131021040214.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 412040120131140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857499471 + ... + 857979849.

It is an arithmetic number, because the mean of its divisors is an integer number (12273601394880).

Almost surely, 2412040120131140 is an apocalyptic number.

It is an amenable number.

412040120131140 is an abundant number, since it is smaller than the sum of its proper divisors (766225613777340).

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

412040120131140 is a wasteful number, since it uses less digits than its factorization.

412040120131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784601 (or 784599 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 412040120131140 its reverse (41131021040214), we get a palindrome (453171141171354).

The spelling of 412040120131140 in words is "four hundred twelve trillion, forty billion, one hundred twenty million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 304163 480379 608326 912489 960758 1216652 1441137 1520815 1824978 1921516 2401895 2882274 3041630 3649956 4562445 4803790 5764548 6083260 7205685 9124890 9607580 14295661 14411370 18249780 22577813 28591322 28822740 42886983 45155626 57182644 67733439 71478305 85773966 90311252 112889065 135466878 142956610 171547932 214434915 225778130 270933756 285913220 338667195 428869830 451556260 677334390 857739660 1354668780 146113517777 292227035554 438340553331 584454071108 730567588885 876681106662 1461135177770 1753362213324 2191702766655 2922270355540 4383405533310 6867335335519 8766811066620 13734670671038 20602006006557 27469341342076 34336676677595 41204012013114 68673353355190 82408024026228 103010030032785 137346706710380 206020060065570 412040120131140