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135455521410040 = 235131571659180811
BaseRepresentation
bin11110110011001000110010…
…001111001000101111111000
3122202121102101012000122110211
4132303020302033020233320
5120223300401440110130
61200031224003120504
740350224044443016
oct3663106217105770
9582542335018424
10135455521410040
113a184400577227
1213238230073134
135a775298c6320
1425641218658b6
15109d797b56a2a
hex7b32323c8bf8

135455521410040 has 64 divisors (see below), whose sum is σ = 330309716052960. Its totient is φ = 49695783621120.

The previous prime is 135455521410023. The next prime is 135455521410109. The reversal of 135455521410040 is 40014125554531.

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

It is a junction number, because it is equal to n+sod(n) for n = 135455521409975 and 135455521410002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829508766 + ... + 829672045.

Almost surely, 2135455521410040 is an apocalyptic number.

135455521410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135455521410040 is an abundant number, since it is smaller than the sum of its proper divisors (194854194642920).

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

135455521410040 is a wasteful number, since it uses less digits than its factorization.

135455521410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659180992 (or 1659180988 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

Adding to 135455521410040 its reverse (40014125554531), we get a palindrome (175469646964571).

The spelling of 135455521410040 in words is "one hundred thirty-five trillion, four hundred fifty-five billion, five hundred twenty-one million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 157 260 314 520 628 785 1256 1570 2041 3140 4082 6280 8164 10205 16328 20410 40820 81640 1659180811 3318361622 6636723244 8295904055 13273446488 16591808110 21569350543 33183616220 43138701086 66367232440 86277402172 107846752715 172554804344 215693505430 260491387327 431387010860 520982774654 862774021720 1041965549308 1302456936635 2083931098616 2604913873270 3386388035251 5209827746540 6772776070502 10419655493080 13545552141004 16931940176255 27091104282008 33863880352510 67727760705020 135455521410040