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141220557135 = 3357475953891
BaseRepresentation
bin1000001110000101100…
…1101011000101001111
3111111111220101121101000
42003201121223011033
54303204430312020
6144513102351343
713126401633630
oct2034131530517
9444456347330
10141220557135
1154989360849
122345258b553
1310417703358
146b9978d887
153a17e6d090
hex20e166b14f

141220557135 has 128 divisors (see below), whose sum is σ = 298001203200. Its totient is φ = 62112320640.

The previous prime is 141220557113. The next prime is 141220557167. The reversal of 141220557135 is 531755022141.

141220557135 is a `hidden beast` number, since 1 + 412 + 205 + 5 + 7 + 1 + 35 = 666.

It is not a de Polignac number, because 141220557135 - 28 = 141220556879 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141220557135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2593540 + ... + 2647430.

It is an arithmetic number, because the mean of its divisors is an integer number (2328134400).

Almost surely, 2141220557135 is an apocalyptic number.

141220557135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141220557135 is an abundant number, since it is smaller than the sum of its proper divisors (156780646065).

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

141220557135 is a wasteful number, since it uses less digits than its factorization.

141220557135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54018 (or 54012 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 141220557135 its reverse (531755022141), we get a palindrome (672975579276).

The spelling of 141220557135 in words is "one hundred forty-one billion, two hundred twenty million, five hundred fifty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 47 59 63 105 135 141 177 189 235 295 315 329 413 423 531 705 885 945 987 1239 1269 1593 1645 2065 2115 2655 2773 2961 3717 4935 6195 6345 7965 8319 8883 11151 13865 14805 18585 19411 24957 41595 44415 53891 55755 58233 74871 97055 124785 161673 174699 269455 291165 374355 377237 485019 524097 808365 873495 1131711 1455057 1886185 2425095 2532877 2620485 3179569 3395133 5658555 7275285 7598631 9538707 10185399 12664385 15897845 16975665 17730139 22256983 22795893 28616121 37993155 47693535 50926995 53190417 66770949 68387679 85848363 88650695 111284915 113979465 143080605 149439743 159571251 200312847 265952085 333854745 341938395 429241815 448319229 478713753 600938541 747198715 797856255 1001564235 1046078201 1344957687 2241596145 2393568765 3004692705 3138234603 4034873061 5230391005 6724788435 9414703809 15691173015 20174365305 28244111427 47073519045 141220557135