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10342042423104 = 26378818734361
BaseRepresentation
bin1001011001111111000111…
…0000111100111101000000
31100121200121201101122212010
42112133301300330331000
52323421000330014404
633555022501132520
72115121311102030
oct226376160747500
940550551348763
1010342042423104
113328043371037
1211b04350ba140
135a0334218462
1427a7b3bbb8c0
1512e04857b189
hex967f1c3cf40

10342042423104 has 112 divisors (see below), whose sum is σ = 31307866402176. Its totient is φ = 2951514931200.

The previous prime is 10342042423091. The next prime is 10342042423127. The reversal of 10342042423104 is 40132424024301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3183117 + ... + 5551244.

It is an arithmetic number, because the mean of its divisors is an integer number (279534521448).

Almost surely, 210342042423104 is an apocalyptic number.

10342042423104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10342042423104 is an abundant number, since it is smaller than the sum of its proper divisors (20965823979072).

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

10342042423104 is an equidigital number, since it uses as much as digits as its factorization.

10342042423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735264 (or 8735254 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10342042423104 its reverse (40132424024301), we get a palindrome (50474466447405).

The spelling of 10342042423104 in words is "ten trillion, three hundred forty-two billion, forty-two million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 881 1344 1762 2643 3524 5286 6167 7048 10572 12334 14096 18501 21144 24668 28192 37002 42288 49336 56384 74004 84576 98672 148008 169152 197344 296016 394688 592032 1184064 8734361 17468722 26203083 34937444 52406166 61140527 69874888 104812332 122281054 139749776 183421581 209624664 244562108 279499552 366843162 419249328 489124216 558999104 733686324 838498656 978248432 1467372648 1676997312 1956496864 2934745296 3912993728 5869490592 7694972041 11738981184 15389944082 23084916123 30779888164 46169832246 53864804287 61559776328 92339664492 107729608574 123119552656 161594412861 184679328984 215459217148 246239105312 323188825722 369358657968 430918434296 492478210624 646377651444 738717315936 861836868592 1292755302888 1477434631872 1723673737184 2585510605776 3447347474368 5171021211552 10342042423104