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23033142554240 = 2757213401140893
BaseRepresentation
bin1010011110010110100100…
…10001111010111010000000
310000112221120022021222110202
411033023102101322322000
511004333333443213430
6120553140221344332
74565042513236400
oct517132221727200
9100487508258422
1023033142554240
117380334554305
1226bbb88a080a8
13cb1029283080
14598b4aab2800
1529e229055d45
hex14f2d247ae80

23033142554240 has 384 divisors, whose sum is σ = 69153294384720. Its totient is φ = 7271379763200.

The previous prime is 23033142554171. The next prime is 23033142554249. The reversal of 23033142554240 is 4245524133032.

It can be written as a sum of positive squares in 8 ways, for example, as 19059371415616 + 3973771138624 = 4365704^2 + 1993432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23033142554194 and 23033142554203.

It is not an unprimeable number, because it can be changed into a prime (23033142554249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163409234 + ... + 163550126.

Almost surely, 223033142554240 is an apocalyptic number.

23033142554240 is a gapful number since it is divisible by the number (20) 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 23033142554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34576647192360).

23033142554240 is an abundant number, since it is smaller than the sum of its proper divisors (46120151830480).

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

23033142554240 is a wasteful number, since it uses less digits than its factorization.

23033142554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141340 (or 141321 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 23033142554240 its reverse (4245524133032), we get a palindrome (27278666687272).

The spelling of 23033142554240 in words is "twenty-three trillion, thirty-three billion, one hundred forty-two million, five hundred fifty-four thousand, two hundred forty".