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23024300342032 = 2411314261990377
BaseRepresentation
bin1010011110000110000110…
…01111100011101100010000
310000112002202002010001121201
411033003003033203230100
511004212231341421112
6120545114554200544
74564310424542143
oct517030317435420
9100462662101551
1023024300342032
117377607334410
1226ba31b723154
13cb024a3ca642
1459854c61205a
1529ddacb46257
hex14f0c33e3b10

23024300342032 has 80 divisors (see below), whose sum is σ = 50246677292544. Its totient is φ = 10125604224000.

The previous prime is 23024300341993. The next prime is 23024300342033.

23024300342032 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×230243003420323 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (23024300342033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22752828 + ... + 23743204.

Almost surely, 223024300342032 is an apocalyptic number.

23024300342032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23024300342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123338646272).

23024300342032 is an abundant number, since it is smaller than the sum of its proper divisors (27222376950512).

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

23024300342032 is a wasteful number, since it uses less digits than its factorization.

23024300342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994688 (or 994682 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 23024300 and 342032, that added together give a palindrome (23366332).

The spelling of 23024300342032 in words is "twenty-three trillion, twenty-four billion, three hundred million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 4261 5456 8522 17044 34088 46871 68176 93742 132091 187484 264182 374968 528364 749936 990377 1056728 1453001 1980754 2113456 2906002 3961508 5812004 7923016 10894147 11624008 15846032 21788294 23248016 30701687 43576588 61403374 87153176 122806748 174306352 245613496 337718557 491226992 675437114 1350874228 2701748456 4219996397 5403496912 8439992794 16879985588 33759971176 46419960367 67519942352 92839920734 130819888307 185679841468 261639776614 371359682936 523279553228 742719365872 1046559106456 1439018771377 2093118212912 2878037542754 5756075085508 11512150171016 23024300342032