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14301585714429 = 3213231401375583
BaseRepresentation
bin1101000000011101100011…
…1011111010110011111101
31212122012220002122121202200
43100013120323322303331
53333304121420330204
650230020251342113
73004153424544156
oct320073073726375
955565802577680
1014301585714429
1146142a5326682
12172b8b0151939
137c9831456200
143762b402692d
1519c03c8d8539
hexd01d8efacfd

14301585714429 has 72 divisors (see below), whose sum is σ = 23096791830528. Its totient is φ = 8514838350720.

The previous prime is 14301585714413. The next prime is 14301585714431. The reversal of 14301585714429 is 92441758510341.

14301585714429 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 1 + 5 + 8 + 571 + 44 + 29 = 666.

It is not a de Polignac number, because 14301585714429 - 24 = 14301585714413 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301585714439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189179172 + ... + 189254754.

It is an arithmetic number, because the mean of its divisors is an integer number (320788775424).

Almost surely, 214301585714429 is an apocalyptic number.

It is an amenable number.

14301585714429 is a deficient number, since it is larger than the sum of its proper divisors (8795206116099).

14301585714429 is a wasteful number, since it uses less digits than its factorization.

14301585714429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79659 (or 79643 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 14301585714429 in words is "fourteen trillion, three hundred one billion, five hundred eighty-five million, seven hundred fourteen thousand, four hundred twenty-nine".

Divisors: 1 3 9 13 31 39 93 117 169 279 403 507 1209 1521 3627 4013 5239 12039 15717 36117 47151 52169 75583 124403 156507 226749 373209 469521 678197 680247 982579 1119627 1617239 2034591 2343073 2947737 4851717 6103773 7029219 8843211 12773527 14555151 21024107 21087657 30459949 38320581 63072321 91379847 114961743 189216963 274139541 303314579 395979337 909943737 1187938011 2729831211 3563814033 3943089527 9402751949 11829268581 28208255847 35487805743 51260163851 84624767541 122235775337 153780491553 366707326011 461341474659 1100121978033 1589065079381 4767195238143 14301585714429