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141010006564 = 22722233226183
BaseRepresentation
bin1000001101010011011…
…0011111001000100100
3111110222020012112021201
42003110312133020210
54302242030202224
6144440141452244
713121234164600
oct2032466371044
9443866175251
10141010006564
1154890522009
12233b3b71084
13103b2bc3a0b
146b79822500
153a0472ca44
hex20d4d9f224

141010006564 has 36 divisors (see below), whose sum is σ = 288343421184. Its totient is φ = 60161841936.

The previous prime is 141010006561. The next prime is 141010006591. The reversal of 141010006564 is 465600010141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (141010006561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1569384 + ... + 1656799.

Almost surely, 2141010006564 is an apocalyptic number.

141010006564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141010006564 is an abundant number, since it is smaller than the sum of its proper divisors (147333414620).

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

141010006564 is a wasteful number, since it uses less digits than its factorization.

141010006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226424 (or 3226415 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 141010006564 in words is "one hundred forty-one billion, ten million, six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 223 446 892 1561 3122 6244 10927 21854 43708 3226183 6452366 12904732 22583281 45166562 90333124 158082967 316165934 632331868 719438809 1438877618 2877755236 5036071663 10072143326 20144286652 35252501641 70505003282 141010006564