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42431224002134 = 2112910115717923431
BaseRepresentation
bin10011010010111010010100…
…00010001011011001010110
312120020101101221210212220212
421221131022002023121112
521030143121321032014
6230124345112125422
711636361200065022
oct1151351202133126
9176211357725825
1042431224002134
1112579a878511a0
124913557096872
131a8a32a2ab676
14a69979d53382
154d8b008e923e
hex26974a08b656

42431224002134 has 128 divisors (see below), whose sum is σ = 73411293772800. Its totient is φ = 18216918720000.

The previous prime is 42431224002121. The next prime is 42431224002137. The reversal of 42431224002134 is 43120042213424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42431224002134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42431224002137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1810889399 + ... + 1810912829.

It is an arithmetic number, because the mean of its divisors is an integer number (573525732600).

Almost surely, 242431224002134 is an apocalyptic number.

42431224002134 is a deficient number, since it is larger than the sum of its proper divisors (30980069770666).

42431224002134 is a wasteful number, since it uses less digits than its factorization.

42431224002134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23910.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42431224002134 its reverse (43120042213424), we get a palindrome (85551266215558).

The spelling of 42431224002134 in words is "forty-two trillion, four hundred thirty-one billion, two hundred twenty-four million, two thousand, one hundred thirty-four".

Divisors: 1 2 11 22 29 58 101 157 179 202 314 319 358 638 1111 1727 1969 2222 2929 3454 3938 4553 5191 5858 9106 10382 15857 18079 23431 28103 31714 32219 36158 46862 50083 56206 57101 64438 100166 114202 174427 198869 257741 309133 348854 397738 459853 515482 524291 618266 679499 814987 919706 1048582 1358998 1629974 2366531 2838403 3678667 4194149 4733062 5058383 5676806 5767201 7357334 7474489 8388298 8964857 10116766 11534402 14948978 17929714 26031841 31222433 40465337 46135639 52063682 62444866 68629399 80930674 82313687 92271278 106681343 121630321 137258798 164627374 213362686 243260642 371545367 423609049 658481393 743090734 754923389 847218098 905450557 1173494773 1316962786 1337933531 1509846778 1810901114 2346989546 2675867062 4086999037 4659699539 7243295323 8173998074 9319399078 10774815643 12284662421 14486590646 19095960397 21549631286 24569324842 38191920794 66506620693 118522972073 133013241386 135131286631 210055564367 237045944146 270262573262 420111128734 731572827623 1463145655246 1928692000097 3857384000194 21215612001067 42431224002134