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31434043095 = 32571321573761
BaseRepresentation
bin11101010001100111…
…010110111011010111
310000010200200211200100
4131101213112323113
51003334103334340
622235100345143
72161651646340
oct352147267327
9100120624610
1031434043095
1112370774914
1261132451b3
132c6c502c00
141742a9d0c7
15c3e995830
hex7519d6ed7

31434043095 has 144 divisors (see below), whose sum is σ = 67875268032. Its totient is φ = 13176483840.

The previous prime is 31434043087. The next prime is 31434043129. The reversal of 31434043095 is 59034043413.

31434043095 is a `hidden beast` number, since 3 + 1 + 4 + 340 + 4 + 309 + 5 = 666.

It is not a de Polignac number, because 31434043095 - 23 = 31434043087 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8356015 + ... + 8359775.

It is an arithmetic number, because the mean of its divisors is an integer number (471356028).

Almost surely, 231434043095 is an apocalyptic number.

31434043095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31434043095 is an abundant number, since it is smaller than the sum of its proper divisors (36441224937).

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

31434043095 is a wasteful number, since it uses less digits than its factorization.

31434043095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

It can be divided in two parts, 314340 and 43095, that added together give a triangular number (357435 = T845).

The spelling of 31434043095 in words is "thirty-one billion, four hundred thirty-four million, forty-three thousand, ninety-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 157 169 195 273 315 455 471 507 585 785 819 845 1099 1183 1365 1413 1521 2041 2355 2535 3297 3549 3761 4095 5495 5915 6123 7065 7605 9891 10205 10647 11283 14287 16485 17745 18369 18805 26327 26533 30615 33849 42861 48893 49455 53235 56415 71435 78981 79599 91845 128583 131635 132665 146679 169245 185731 214305 236943 238797 244465 342251 394905 397995 440037 557193 590477 635609 642915 733395 928655 1026753 1184715 1193985 1671579 1711255 1771431 1906827 2200185 2785965 2952385 3080259 3178045 4133339 4449263 5133765 5314293 5720481 7676201 8357895 8857155 9534135 12400017 13347789 15401295 20666695 22246315 23028603 26571465 28602405 37200051 38381005 40043367 53733407 62000085 66738945 69085809 99790613 115143015 161200221 186000255 200216835 268667035 299371839 345429045 483600663 498953065 698534291 806001105 898115517 1496859195 2095602873 2418003315 3492671455 4490577585 6286808619 10478014365 31434043095