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241424760725031 = 3131929103412926417
BaseRepresentation
bin110110111001001100010101…
…000110100101111000100111
31011122210222111200020000121210
4312321030111012211320213
5223121000402221200111
62213245000504442503
7101565235426620162
oct6671142506457047
91148728450200553
10241424760725031
116aa1a736553924
12230b189ba79433
13a49334623aba0
144389040da8ad9
151cda02aac70a6
hexdb93151a5e27

241424760725031 has 128 divisors (see below), whose sum is σ = 381261194496000. Its totient is φ = 134539154620416.

The previous prime is 241424760725023. The next prime is 241424760725039. The reversal of 241424760725031 is 130527067424142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (241424760725023) and next prime (241424760725039).

It is not a de Polignac number, because 241424760725031 - 23 = 241424760725023 is a prime.

It is a super-2 number, since 2×2414247607250312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241424760725039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9138979135 + ... + 9139005551.

It is an arithmetic number, because the mean of its divisors is an integer number (2978603082000).

Almost surely, 2241424760725031 is an apocalyptic number.

241424760725031 is a deficient number, since it is larger than the sum of its proper divisors (139836433770969).

241424760725031 is a wasteful number, since it uses less digits than its factorization.

241424760725031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30713.

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 241424760725031 in words is "two hundred forty-one trillion, four hundred twenty-four billion, seven hundred sixty million, seven hundred twenty-five thousand, thirty-one".

Divisors: 1 3 13 19 29 39 57 87 103 247 309 377 551 741 1131 1339 1653 1957 2987 4017 4129 5871 7163 8961 12387 21489 25441 26417 38831 53677 56753 76323 78451 79251 116493 119741 161031 170259 235353 343421 359223 425287 501923 737789 766093 1019863 1030263 1275861 1505769 1556633 2213367 2275079 2298279 2720951 3059589 4669899 5528731 6524999 6825237 8080453 8162853 9959209 12333323 14555767 16586193 19574997 24241359 29576027 29877627 35372363 36999969 43667301 51698069 78907579 88728081 105045889 106117089 109075793 155094207 160333199 189224971 234333137 236722737 315137667 327227379 480999597 567674913 672074897 702999411 1025798527 1417985309 1499244001 2016224691 2072440067 3046330781 3077395581 3163197997 4253955927 4497732003 6217320201 9138992343 9489593991 11234806679 19490172013 26941720871 33704420037 41121573961 58470516039 60100761943 80825162613 123364721883 146052486827 180302285829 213461326901 325809393691 438157460481 640383980703 781309905259 977428181073 2343929715777 2774997249713 4235522117983 6190378480129 8324991749139 12706566353949 18571135440387 80474920241677 241424760725031