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20435141533240 = 2357237281786287
BaseRepresentation
bin1001010010101111011010…
…10110100001111000111000
32200100120200011000201200201
410221113231112201320320
510134302132213030430
6111243435135211544
74206250600023400
oct451275526417070
980316604021621
1020435141533240
11656954971a495
122360573676bb4
13b5304426bc15
145090cd64d800
1525687196a8ca
hex1295ed5a1e38

20435141533240 has 96 divisors (see below), whose sum is σ = 54931418982720. Its totient is φ = 6816973830912.

The previous prime is 20435141533231. The next prime is 20435141533243. The reversal of 20435141533240 is 4233514153402.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 20435141533240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20435141533243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140820624 + ... + 140965663.

It is an arithmetic number, because the mean of its divisors is an integer number (572202281070).

Almost surely, 220435141533240 is an apocalyptic number.

20435141533240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20435141533240 is an abundant number, since it is smaller than the sum of its proper divisors (34496277449480).

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

20435141533240 is a wasteful number, since it uses less digits than its factorization.

20435141533240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281786349 (or 281786338 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 20435141533240 its reverse (4233514153402), we get a palindrome (24668655686642).

The spelling of 20435141533240 in words is "twenty trillion, four hundred thirty-five billion, one hundred forty-one million, five hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 74 98 140 148 185 196 245 259 280 296 370 392 490 518 740 980 1036 1295 1480 1813 1960 2072 2590 3626 5180 7252 9065 10360 14504 18130 36260 72520 281786287 563572574 1127145148 1408931435 1972504009 2254290296 2817862870 3945008018 5635725740 7890016036 9862520045 10426092619 11271451480 13807528063 15780032072 19725040090 20852185238 27615056126 39450080180 41704370476 52130463095 55230112252 69037640315 72982648333 78900160360 83408740952 104260926190 110460224504 138075280630 145965296666 208521852380 276150561260 291930593332 364913241665 417043704760 510878538331 552301122520 583861186664 729826483330 1021757076662 1459652966660 2043514153324 2554392691655 2919305933320 4087028306648 5108785383310 10217570766620 20435141533240