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535135341140000 = 255442536291269
BaseRepresentation
bin111100110101100111110011…
…1111010100101100000100000
32121011202102212000121210121122
41321223033213322211200200
51030120124134312440000
65134045440515511412
7220501152422124326
oct17153174772454040
92534672760553548
10535135341140000
1114556869513aaa7
1250028992bb8568
1319c7a07a4a0a93
14962098db5bd16
1541d0171aec085
hex1e6b3e7ea5820

535135341140000 has 120 divisors (see below), whose sum is σ = 1316822968123740. Its totient is φ = 214003772288000.

The previous prime is 535135341139939. The next prime is 535135341140051. The reversal of 535135341140000 is 41143531535.

It can be written as a sum of positive squares in 10 ways, for example, as 143153471784976 + 391981869355024 = 11964676^2 + 19798532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81914366 + ... + 88205634.

Almost surely, 2535135341140000 is an apocalyptic number.

535135341140000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535135341140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658411484061870).

535135341140000 is an abundant number, since it is smaller than the sum of its proper divisors (781687626983740).

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

535135341140000 is an equidigital number, since it uses as much as digits as its factorization.

535135341140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295552 (or 6295529 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 535135341140000 its reverse (41143531535), we get a palindrome (535176484671535).

The spelling of 535135341140000 in words is "five hundred thirty-five trillion, one hundred thirty-five billion, three hundred forty-one million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 4253 5000 8506 10000 17012 20000 21265 34024 42530 68048 85060 106325 136096 170120 212650 340240 425300 531625 680480 850600 1063250 1701200 2126500 2658125 3402400 4253000 5316250 6291269 8506000 10632500 12582538 17012000 21265000 25165076 31456345 42530000 50330152 62912690 85060000 100660304 125825380 157281725 201320608 251650760 314563450 503301520 629126900 786408625 1006603040 1258253800 1572817250 2516507600 3145634500 3932043125 5033015200 6291269000 7864086250 12582538000 15728172500 25165076000 26756767057 31456345000 53513534114 62912690000 107027068228 125825380000 133783835285 214054136456 267567670570 428108272912 535135341140 668919176425 856216545824 1070270682280 1337838352850 2140541364560 2675676705700 3344595882125 4281082729120 5351353411400 6689191764250 10702706822800 13378383528500 16722979410625 21405413645600 26756767057000 33445958821250 53513534114000 66891917642500 107027068228000 133783835285000 267567670570000 535135341140000