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14212402135 = 5171923167223
BaseRepresentation
bin11010011110010000…
…00000101111010111
31100200111010211112021
431033020000233113
5213101333332020
610310141034011
71012124265511
oct151710005727
940614124467
1014212402135
116033592098
122907855907
131456619209
1498b7a6bb1
15582adc1aa
hex34f200bd7

14212402135 has 96 divisors (see below), whose sum is σ = 20056522752. Its totient is φ = 9621089280.

The previous prime is 14212402133. The next prime is 14212402151. The reversal of 14212402135 is 53120421241.

14212402135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14212402135 - 21 = 14212402133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14212402133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63732634 + ... + 63732856.

It is an arithmetic number, because the mean of its divisors is an integer number (208922112).

Almost surely, 214212402135 is an apocalyptic number.

14212402135 is a deficient number, since it is larger than the sum of its proper divisors (5844120617).

14212402135 is a wasteful number, since it uses less digits than its factorization.

14212402135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14212402135 its reverse (53120421241), we get a palindrome (67332823376).

The spelling of 14212402135 in words is "fourteen billion, two hundred twelve million, four hundred two thousand, one hundred thirty-five".

Divisors: 1 5 17 19 31 67 85 95 155 223 323 335 361 527 589 1115 1139 1273 1615 1805 2077 2635 2945 3791 4237 5695 6137 6365 6913 10013 10385 11191 14941 18955 21185 21641 24187 30685 34565 35309 39463 50065 55955 72029 74705 80503 108205 117521 120935 131347 176545 190247 197315 253997 283879 360145 402515 411179 463171 587605 656735 670871 749797 951235 1269985 1368551 1419395 2055895 2232899 2315855 2495593 3354355 3748985 4825943 5393701 6842755 7873907 8800249 11164495 12477965 12746549 24129715 26968505 39369535 42425081 44001245 63732745 91692917 149604233 167204731 212125405 458464585 748021165 836023655 2842480427 14212402135