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10041402343410 = 23256431487116689
BaseRepresentation
bin1001001000011111001000…
…1110000011111111110010
31022112221121121001012211200
42102013302032003333302
52304004242444442120
633204542340552030
72054316211430664
oct222076216037762
938487547035750
1010041402343410
113221597931459
1211621113b2616
1357ab918ca089
1426a013a5c534
151262eead3e90
hex921f2383ff2

10041402343410 has 96 divisors (see below), whose sum is σ = 26166057765120. Its totient is φ = 2671722054144.

The previous prime is 10041402343391. The next prime is 10041402343417. The reversal of 10041402343410 is 1434320414001.

10041402343410 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 14 + 0 + 234 + 3 + 410 = 666.

It is a super-2 number, since 2×100414023434102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10041402343417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85994346 + ... + 86111034.

It is an arithmetic number, because the mean of its divisors is an integer number (272563101720).

Almost surely, 210041402343410 is an apocalyptic number.

10041402343410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10041402343410 is an abundant number, since it is smaller than the sum of its proper divisors (16124655421710).

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

10041402343410 is a wasteful number, since it uses less digits than its factorization.

10041402343410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118832 (or 118829 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10041402343410 its reverse (1434320414001), we get a palindrome (11475722757411).

The spelling of 10041402343410 in words is "ten trillion, forty-one billion, four hundred two million, three hundred forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 643 1286 1487 1929 2974 3215 3858 4461 5787 6430 7435 8922 9645 11574 13383 14870 19290 22305 26766 28935 44610 57870 66915 116689 133830 233378 350067 583445 700134 956141 1050201 1166890 1750335 1912282 2100402 2868423 3500670 4780705 5251005 5736846 8605269 9561410 10502010 14342115 17210538 28684230 43026345 75031027 86052690 150062054 173516543 225093081 347033086 375155135 450186162 520549629 675279243 750310270 867582715 1041099258 1125465405 1350558486 1561648887 1735165430 2250930810 2602748145 3123297774 3376396215 5205496290 6752792430 7808244435 15616488870 111571137149 223142274298 334713411447 557855685745 669426822894 1004140234341 1115711371490 1673567057235 2008280468682 3347134114470 5020701171705 10041402343410