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1002409874424 = 2332745798567
BaseRepresentation
bin11101001011001000100…
…10001101001111111000
310112211101200000201201100
432211210102031033320
5112410413411440144
62044300054251400
7132264436230000
oct16454422151770
93484350021640
101002409874424
11357135272252
12142335056b60
13736b0630b3a
1436734517000
151b11d0dd269
hexe96448d3f8

1002409874424 has 120 divisors (see below), whose sum is σ = 3167148848760. Its totient is φ = 286402771872.

The previous prime is 1002409874423. The next prime is 1002409874429. The reversal of 1002409874424 is 4244789042001.

1002409874424 is a `hidden beast` number, since 100 + 2 + 40 + 9 + 87 + 4 + 424 = 666.

1002409874424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1002409874424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002409874423) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2726412 + ... + 3072155.

It is an arithmetic number, because the mean of its divisors is an integer number (26392907073).

Almost surely, 21002409874424 is an apocalyptic number.

1002409874424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1002409874424 is an abundant number, since it is smaller than the sum of its proper divisors (2164738974336).

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

1002409874424 is an equidigital number, since it uses as much as digits as its factorization.

1002409874424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5798607 (or 5798579 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1002409874424 in words is "one trillion, two billion, four hundred nine million, eight hundred seventy-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2401 2744 3087 3528 4116 4802 6174 7203 8232 9604 12348 14406 19208 21609 24696 28812 43218 57624 86436 172872 5798567 11597134 17395701 23194268 34791402 40589969 46388536 52187103 69582804 81179938 104374206 121769907 139165608 162359876 208748412 243539814 284129783 324719752 365309721 417496824 487079628 568259566 730619442 852389349 974159256 1136519132 1461238884 1704778698 1988908481 2273038264 2557168047 2922477768 3409557396 3977816962 5114336094 5966725443 6819114792 7955633924 10228672188 11933450886 13922359367 15911267848 17900176329 20457344376 23866901772 27844718734 35800352658 41767078101 47733803544 55689437468 71600705316 83534156202 111378874936 125301234303 143201410632 167068312404 250602468606 334136624808 501204937212 1002409874424