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250042414100112 = 243621437106833
BaseRepresentation
bin111000110110100110001001…
…010001010110111010010000
31012210022211011202101212000000
4320312212021101112322100
5230233143331002200422
62243443522124130000
7103444653054660324
oct7066461121267220
91183284152355000
10250042414100112
1172742435192637
1224063a8a696900
13a969b8ac48bca
1445a6190289984
151dd929c5e4cac
hexe36989456e90

250042414100112 has 70 divisors (see below), whose sum is σ = 726353490856422. Its totient is φ = 83347471362816.

The previous prime is 250042414100111. The next prime is 250042414100113. The reversal of 250042414100112 is 211001414240052.

250042414100112 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 4 + 241 + 410 + 0 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (250042414100111) and next prime (250042414100113).

It can be written as a sum of positive squares in only one way, i.e., 191497329121536 + 58545084978576 = 13838256^2 + 7651476^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (250042414100111) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10718541753 + ... + 10718565080.

Almost surely, 2250042414100112 is an apocalyptic number.

It is an amenable number.

250042414100112 is an abundant number, since it is smaller than the sum of its proper divisors (476311076756310).

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

250042414100112 is an equidigital number, since it uses as much as digits as its factorization.

250042414100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21437106859 (or 21437106838 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 250042414100112 its reverse (211001414240052), we get a palindrome (461043828340164).

The spelling of 250042414100112 in words is "two hundred fifty trillion, forty-two billion, four hundred fourteen million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 21437106833 42874213666 64311320499 85748427332 128622640998 171496854664 192933961497 257245281996 342993709328 385867922994 514490563992 578801884491 771735845988 1028981127984 1157603768982 1543471691976 1736405653473 2315207537964 3086943383952 3472811306946 4630415075928 5209216960419 6945622613892 9260830151856 10418433920838 13891245227784 15627650881257 20836867841676 27782490455568 31255301762514 41673735683352 62510603525028 83347471366704 125021207050056 250042414100112