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141052135104 = 263427209131
BaseRepresentation
bin1000001101011101011…
…1001100011011000000
3111111002011110212210000
42003113113030123000
54302333321310404
6144444244440000
713122255236406
oct2032727143300
9444064425700
10141052135104
1154902286891
12234060a9000
13103bb85434a
146b8126b476
153a082a0339
hex20d75cc6c0

141052135104 has 70 divisors (see below), whose sum is σ = 418122731444. Its totient is φ = 47017376640.

The previous prime is 141052135097. The next prime is 141052135127. The reversal of 141052135104 is 401531250141.

141052135104 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 521 + 35 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13599382 + ... + 13609749.

Almost surely, 2141052135104 is an apocalyptic number.

It is an amenable number.

141052135104 is an abundant number, since it is smaller than the sum of its proper divisors (277070596340).

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

141052135104 is an equidigital number, since it uses as much as digits as its factorization.

141052135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27209155 (or 27209136 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 141052135104 its reverse (401531250141), we get a palindrome (542583385245).

The spelling of 141052135104 in words is "one hundred forty-one billion, fifty-two million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 27209131 54418262 81627393 108836524 163254786 217673048 244882179 326509572 435346096 489764358 653019144 734646537 870692192 979528716 1306038288 1469293074 1741384384 1959057432 2203939611 2612076576 2938586148 3918114864 4407879222 5224153152 5877172296 7836229728 8815758444 11754344592 15672459456 17631516888 23508689184 35263033776 47017378368 70526067552 141052135104