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42543234524 = 22723179263337
BaseRepresentation
bin100111100111110001…
…100011110111011100
311001210220121020101202
4213213301203313130
51144112032001044
631313305055032
73034155345500
oct474761436734
9131726536352
1042543234524
111705160185a
1282b3787478
13401cc3b86b
1420b8274300
15118ee02c4e
hex9e7c63ddc

42543234524 has 144 divisors (see below), whose sum is σ = 91145134080. Its totient is φ = 17303569920.

The previous prime is 42543234397. The next prime is 42543234551.

42543234524 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126240884 + ... + 126241220.

It is an arithmetic number, because the mean of its divisors is an integer number (632952320).

Almost surely, 242543234524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42543234524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45572567040).

42543234524 is an abundant number, since it is smaller than the sum of its proper divisors (48601899556).

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

42543234524 is a wasteful number, since it uses less digits than its factorization.

42543234524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 719 counting only the distinct ones).

The product of its digits is 460800, while the sum is 38.

The spelling of 42543234524 in words is "forty-two billion, five hundred forty-three million, two hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 49 62 79 98 124 158 196 217 263 316 337 434 526 553 674 868 1052 1106 1348 1519 1841 2212 2359 2449 3038 3682 3871 4718 4898 6076 7364 7742 8153 9436 9796 10447 12887 15484 16306 16513 17143 20777 20894 25774 26623 32612 33026 34286 41554 41788 51548 53246 57071 66052 68572 73129 83108 88631 106492 114142 120001 145439 146258 177262 186361 228284 240002 290878 292516 354524 372722 399497 480004 511903 581756 620417 644087 745444 798994 825313 1018073 1023806 1240834 1288174 1304527 1597988 1650626 2036146 2047612 2481668 2576348 2609054 2747561 3301252 4072292 4342919 4508609 5218108 5495122 5777191 7001849 8685838 9017218 10990244 11554382 14003698 17371676 18034436 19232927 23108764 28007396 31560263 38465854 40440337 49012943 63120526 76931708 80880674 98025886 126241052 134630489 161761348 196051772 217057319 269260978 343090601 434114638 538521956 686181202 868229276 1372362404 1519401233 3038802466 6077604932 10635808631 21271617262 42543234524