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4200406342 = 21121721929109
BaseRepresentation
bin1111101001011101…
…0001110101000110
3101211201210202021021
43322113101311012
532100301000332
61532445141354
7206042602426
oct37227216506
911751722237
104200406342
111866024500
1299285a85a
1351c2bb952
142bbc00486
15198b5ec97
hexfa5d1d46

4200406342 has 144 divisors (see below), whose sum is σ = 8084538000. Its totient is φ = 1628605440.

The previous prime is 4200406321. The next prime is 4200406351. The reversal of 4200406342 is 2436040024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38535784 + ... + 38535892.

It is an arithmetic number, because the mean of its divisors is an integer number (56142625).

Almost surely, 24200406342 is an apocalyptic number.

4200406342 is a deficient number, since it is larger than the sum of its proper divisors (3884131658).

4200406342 is a wasteful number, since it uses less digits than its factorization.

4200406342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4200406342 is about 64810.5419048475. The cubic root of 4200406342 is about 1613.4806763961.

Adding to 4200406342 its reverse (2436040024), we get a palindrome (6636446366).

The spelling of 4200406342 in words is "four billion, two hundred million, four hundred six thousand, three hundred forty-two".

Divisors: 1 2 11 17 19 22 29 34 38 58 109 121 187 209 218 242 289 319 323 374 418 493 551 578 638 646 986 1102 1199 1853 2057 2071 2299 2398 3161 3179 3509 3553 3706 4114 4142 4598 5423 5491 6061 6322 6358 7018 7106 8381 9367 10846 10982 12122 13189 16762 18734 20383 22781 26378 31501 34771 34969 35207 39083 40766 45562 53737 59653 60059 60401 63002 66671 69542 69938 70414 78166 92191 103037 107474 119306 120118 120802 133342 159239 184382 206074 224213 250591 318478 346511 382481 387277 448426 501182 591107 598519 660649 664411 693022 764962 774554 913529 1014101 1021003 1133407 1182214 1197038 1321298 1328822 1751629 1827058 2028202 2042006 2266814 3503258 3811621 4260047 6502177 6583709 7267139 7623242 8520094 10048819 11231033 13004354 13167418 14534278 17357051 19267919 20097638 22462066 34714102 38535838 72420799 110537009 123541363 144841598 190927561 221074018 247082726 381855122 2100203171 4200406342