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42432345024520 = 235111719298567021
BaseRepresentation
bin10011010010111100011001…
…10110100010100000001000
312120020111022002012201112111
421221132030312202200020
521030202420311241040
6230125052235352104
711636431031445613
oct1151361466424010
9176214262181474
1042432345024520
111257a502614980
12491380a5b2634
131a8a47860cc19
14a69a44ba517a
154d8b69033dea
hex26978cda2808

42432345024520 has 128 divisors (see below), whose sum is σ = 116082858153600. Its totient is φ = 13757968281600.

The previous prime is 42432345024467. The next prime is 42432345024521. The reversal of 42432345024520 is 2542054323424.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42432345024521) by changing a digit.

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, 149141391 + ... + 149425630.

It is an arithmetic number, because the mean of its divisors is an integer number (906897329325).

Almost surely, 242432345024520 is an apocalyptic number.

42432345024520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42432345024520 is an abundant number, since it is smaller than the sum of its proper divisors (73650513129080).

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

42432345024520 is a wasteful number, since it uses less digits than its factorization.

42432345024520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298567079 (or 298567075 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 42432345024520 its reverse (2542054323424), we get a palindrome (44974399347944).

The spelling of 42432345024520 in words is "forty-two trillion, four hundred thirty-two billion, three hundred forty-five million, twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 19 20 22 34 38 40 44 55 68 76 85 88 95 110 136 152 170 187 190 209 220 323 340 374 380 418 440 646 680 748 760 836 935 1045 1292 1496 1615 1672 1870 2090 2584 3230 3553 3740 4180 6460 7106 7480 8360 12920 14212 17765 28424 35530 71060 142120 298567021 597134042 1194268084 1492835105 2388536168 2985670210 3284237231 5075639357 5672773399 5971340420 6568474462 10151278714 11345546798 11942680840 13136948924 16421186155 20302557428 22691093596 25378196785 26273897848 28363866995 32842372310 40605114856 45382187192 50756393570 55832032927 56727733990 62400507389 65684744620 96437147783 101512787140 111664065854 113455467980 124801014778 131369489240 192874295566 203025574280 223328131708 226910935960 249602029556 279160164635 312002536945 385748591132 446656263416 482185738915 499204059112 558320329270 624005073890 771497182264 964371477830 1060808625613 1116640658540 1248010147780 1928742955660 2121617251226 2233281317080 2496020295560 3857485911320 4243234502452 5304043128065 8486469004904 10608086256130 21216172512260 42432345024520