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141430111434 = 232103405718803
BaseRepresentation
bin1000001110110111100…
…1000011110011001010
3111112001111201001211100
42003231321003303022
54304122102031214
6144545550042230
713134525053253
oct2035571036312
9445044631740
10141430111434
1154a8667a017
12234b07a9376
131044bc54391
146bb953bb2a
153a2b563309
hex20ede43cca

141430111434 has 48 divisors (see below), whose sum is σ = 309499699392. Its totient is φ = 46671678144.

The previous prime is 141430111421. The next prime is 141430111441. The reversal of 141430111434 is 434111034141.

141430111434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141430111398 and 141430111407.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7512277 + ... + 7531079.

It is an arithmetic number, because the mean of its divisors is an integer number (6447910404).

Almost surely, 2141430111434 is an apocalyptic number.

141430111434 is an abundant number, since it is smaller than the sum of its proper divisors (168069587958).

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

141430111434 is a wasteful number, since it uses less digits than its factorization.

141430111434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22971 (or 22968 counting only the distinct ones).

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

Adding to 141430111434 its reverse (434111034141), we get a palindrome (575541145575).

The spelling of 141430111434 in words is "one hundred forty-one billion, four hundred thirty million, one hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 103 206 309 618 927 1854 4057 8114 12171 18803 24342 36513 37606 56409 73026 112818 169227 338454 417871 835742 1253613 1936709 2507226 3760839 3873418 5810127 7521678 11620254 17430381 34860762 76283771 152567542 228851313 457702626 686553939 1373107878 7857228413 15714456826 23571685239 47143370478 70715055717 141430111434