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5341140411435 = 3253719961326297
BaseRepresentation
bin100110110111001010011…
…0001101110010000101011
3200220121102020222121001100
41031232110301232100223
51200002123421131220
615205404103252443
71060612303262133
oct115562461562053
920817366877040
105341140411435
11177a18a578894
1272319514a123
132c988a304c9a
14146726713ac3
1593e06a81d90
hex4db94c6e42b

5341140411435 has 96 divisors (see below), whose sum is σ = 9571925001600. Its totient is φ = 2753087698944.

The previous prime is 5341140411433. The next prime is 5341140411437.

5341140411435 is a `hidden beast` number, since 5 + 3 + 41 + 140 + 41 + 1 + 435 = 666.

5341140411435 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5341140411433) and next prime (5341140411437).

It is not a de Polignac number, because 5341140411435 - 21 = 5341140411433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5341140411435.

It is not an unprimeable number, because it can be changed into a prime (5341140411433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203095207 + ... + 203121503.

It is an arithmetic number, because the mean of its divisors is an integer number (99707552100).

Almost surely, 25341140411435 is an apocalyptic number.

5341140411435 is a deficient number, since it is larger than the sum of its proper divisors (4230784590165).

5341140411435 is a wasteful number, since it uses less digits than its factorization.

5341140411435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27157 (or 27154 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 5341140 and 411435, that added together give a palindrome (5752575).

The spelling of 5341140411435 in words is "five trillion, three hundred forty-one billion, one hundred forty million, four hundred eleven thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 37 45 111 185 199 333 555 597 613 995 1665 1791 1839 2985 3065 5517 7363 8955 9195 22089 22681 26297 27585 36815 66267 68043 78891 110445 113405 121987 131485 204129 236673 331335 340215 365961 394455 609935 972989 1020645 1097883 1183365 1829805 2918967 4513519 4864945 5233103 5489415 8756901 13540557 14594835 15699309 16120061 22567595 26165515 40621671 43784505 47097927 48360183 67702785 78496545 80600305 145080549 193624811 203108355 235489635 241800915 580874433 596442257 725402745 968124055 1742623299 1789326771 2904372165 2982211285 3207892139 5367980313 8713116495 8946633855 9623676417 16039460695 26839901565 28871029251 48118382085 118692009143 144355146255 356076027429 593460045715 1068228082287 1780380137145 5341140411435