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42010434141210 = 2335712191467613
BaseRepresentation
bin10011000110101010100010…
…00000001111110000011010
312111202011021101110011012000
421203111101000033300122
521001244332120004320
6225203154345101430
711564103502222413
oct1143252100176032
9174664241404160
1042010434141210
1112427585954657
124865aa1487876
131a5974a752792
14a5345ca1c80a
154ccbc3c61c90
hex26355100fc1a

42010434141210 has 64 divisors (see below), whose sum is σ = 113605681109760. Its totient is φ = 11044996764480.

The previous prime is 42010434141173. The next prime is 42010434141239. The reversal of 42010434141210 is 1214143401024.

42010434141210 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 0 + 434 + 14 + 1 + 210 = 666.

42010434141210 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095714637 + ... + 1095752976.

It is an arithmetic number, because the mean of its divisors is an integer number (1775088767340).

Almost surely, 242010434141210 is an apocalyptic number.

42010434141210 is an abundant number, since it is smaller than the sum of its proper divisors (71595246968550).

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

42010434141210 is a wasteful number, since it uses less digits than its factorization.

42010434141210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191467700 (or 2191467694 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42010434141210 its reverse (1214143401024), we get a palindrome (43224577542234).

The spelling of 42010434141210 in words is "forty-two trillion, ten billion, four hundred thirty-four million, one hundred forty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 1065 1278 1917 2130 3195 3834 6390 9585 19170 2191467613 4382935226 6574402839 10957338065 13148805678 19723208517 21914676130 32872014195 39446417034 59169625551 65744028390 98616042585 118339251102 155594200523 197232085170 295848127755 311188401046 466782601569 591696255510 777971002615 933565203138 1400347804707 1555942005230 2333913007845 2800695609414 4201043414121 4667826015690 7001739023535 8402086828242 14003478047070 21005217070605 42010434141210