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40041556425 = 325213291034583
BaseRepresentation
bin100101010010101010…
…011010100111001001
310211100120020211012100
4211102222122213021
51124001114301200
630221141304013
72615160420363
oct452252324711
9124316224170
1040041556425
1115a88461aa2
127915a05009
133a11872670
141d1bd07d33
151095494d00
hex952a9a9c9

40041556425 has 144 divisors (see below), whose sum is σ = 80692335360. Its totient is φ = 18844116480.

The previous prime is 40041556409. The next prime is 40041556439. The reversal of 40041556425 is 52465514004.

40041556425 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 1 + 5 + 5 + 642 + 5 = 666.

It is not a de Polignac number, because 40041556425 - 24 = 40041556409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40041556425.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 8734684 + ... + 8739266.

It is an arithmetic number, because the mean of its divisors is an integer number (560363440).

Almost surely, 240041556425 is an apocalyptic number.

40041556425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40041556425 is an abundant number, since it is smaller than the sum of its proper divisors (40650778935).

40041556425 is a wasteful number, since it uses less digits than its factorization.

40041556425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 40041556425 in words is "forty billion, forty-one million, five hundred fifty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 103 117 145 195 225 261 309 325 377 435 515 585 725 927 975 1131 1305 1339 1545 1885 2175 2575 2925 2987 3393 4017 4583 4635 5655 6525 6695 7725 8961 9425 12051 13749 14935 16965 20085 22915 23175 26883 28275 33475 38831 41247 44805 59579 60255 68745 74675 84825 100425 114575 116493 132907 134415 178737 194155 206235 224025 297895 301275 343725 349479 398721 472049 536211 582465 664535 672075 893685 970775 1031175 1196163 1416147 1489475 1727791 1747395 1993605 2360245 2681055 2912325 3322675 4248441 4468425 5183373 5980815 6136637 7080735 8638955 8736975 9968025 11801225 13405275 13689421 15550119 18409911 21242205 25916865 29904075 30683185 35403675 41068263 43194775 55229733 68447105 77750595 92049555 106211025 123204789 129584325 153415925 177962473 205341315 276148665 342235525 388752975 460247775 533887419 616023945 889812365 1026706575 1380743325 1601662257 2669437095 3080119725 4449061825 8008311285 13347185475 40041556425