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140314431411 = 34711173142689
BaseRepresentation
bin1000001010101101100…
…1000100111110110011
3111102011202100122120000
42002223121010332303
54244330443301121
6144243133121043
713065056662650
oct2025331047663
9442152318500
10140314431411
1154563925110
122323b029183
1310301a7369b
146b112bac27
1539b3631526
hex20ab644fb3

140314431411 has 160 divisors (see below), whose sum is σ = 285630935040. Its totient is φ = 66388377600.

The previous prime is 140314431403. The next prime is 140314431527. The reversal of 140314431411 is 114134413041.

140314431411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 140314431411 - 23 = 140314431403 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (140314431011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3265555 + ... + 3308243.

It is an arithmetic number, because the mean of its divisors is an integer number (1785193344).

Almost surely, 2140314431411 is an apocalyptic number.

140314431411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

140314431411 is an abundant number, since it is smaller than the sum of its proper divisors (145316503629).

140314431411 is a wasteful number, since it uses less digits than its factorization.

140314431411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42767 (or 42758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 140314431411 its reverse (114134413041), we get a palindrome (254448844452).

The spelling of 140314431411 in words is "one hundred forty billion, three hundred fourteen million, four hundred thirty-one thousand, four hundred eleven".

Divisors: 1 3 7 9 11 17 21 27 31 33 51 63 77 81 93 99 119 153 187 189 217 231 279 297 341 357 459 527 561 567 651 693 837 891 1023 1071 1309 1377 1581 1683 1953 2079 2387 2511 3069 3213 3689 3927 4743 5049 5797 5859 6237 7161 9207 9639 11067 11781 14229 15147 17391 17577 21483 27621 33201 35343 40579 42687 42689 52173 64449 99603 106029 121737 128067 156519 193347 298809 298823 365211 384201 469557 469579 725713 896469 1095633 1152603 1323359 1408737 2177139 2689407 3286899 3287053 3457809 3970077 4226211 5079991 6531417 7982843 8068221 9263513 9861159 11910231 12678633 14556949 15239973 19594251 22497103 23948529 24204663 27790539 29583477 35730693 38035899 43670847 45719919 55879901 58782753 67491309 71845587 83371617 88750431 101898643 107192079 131012541 137159757 157479721 167639703 202473927 215536761 247468133 250114851 266251293 305695929 393037623 411479271 472439163 502919109 607421781 646610283 742404399 750344553 917087787 1179112869 1417317489 1508757327 1732276931 1822265343 2227213197 2751263361 4251952467 4526271981 5196830793 6681639591 8253790083 12755857401 15590492379 20044918773 46771477137 140314431411