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142321401414045 = 3457244316188827
BaseRepresentation
bin100000010111000011001000…
…100100110100000110011101
3200122220210102011112220020000
4200113003020210310012131
5122123243212230222140
61222405314343444513
741656245000525600
oct4027031044640635
9618823364486200
10142321401414045
1141391192872477
1213b66a11456739
136154b09903579
14272056d364337
15116c18d967a30
hex8170c893419d

142321401414045 has 120 divisors (see below), whose sum is σ = 297447179651424. Its totient is φ = 64914343026624.

The previous prime is 142321401414043. The next prime is 142321401414067. The reversal of 142321401414045 is 540414104123241.

142321401414045 is a `hidden beast` number, since 1 + 4 + 23 + 214 + 0 + 1 + 414 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 142321401414045 - 21 = 142321401414043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142321401414043) 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 119 ways as a sum of consecutive naturals, for example, 696922 + ... + 16885748.

Almost surely, 2142321401414045 is an apocalyptic number.

142321401414045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142321401414045 is an abundant number, since it is smaller than the sum of its proper divisors (155125778237379).

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

142321401414045 is a wasteful number, since it uses less digits than its factorization.

142321401414045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16189301 (or 16189285 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 142321401414045 its reverse (540414104123241), we get a palindrome (682735505537286).

The spelling of 142321401414045 in words is "one hundred forty-two trillion, three hundred twenty-one billion, four hundred one million, four hundred fourteen thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 443 567 735 945 1323 1329 2205 2215 2835 3101 3969 3987 6615 6645 9303 11961 15505 19845 19935 21707 27909 35883 46515 59805 65121 83727 108535 139545 179415 195363 251181 325605 418635 586089 976815 1255905 1758267 2930445 8791335 16188827 48566481 80944135 113321789 145699443 242832405 339965367 437098329 566608945 728497215 793252523 1019896101 1311294987 1699826835 2185491645 2379757569 3059688303 3966262615 5099480505 6556474935 7139272707 7171650361 9179064909 11898787845 15298441515 21417818121 21514951083 35696363535 35858251805 45895324545 50201552527 64253454363 64544853249 107089090605 107574755415 150604657581 193634559747 251007762635 321267271815 322724266245 351410867689 451813972743 580903679241 753023287905 968172798735 1054232603067 1355441918229 1757054338445 2259069863715 2904518396205 3162697809201 4066325754687 5271163015335 6777209591145 9488093427603 15813489046005 20331628773435 28464280282809 47440467138015 142321401414045