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23540123432240 = 245523356229991
BaseRepresentation
bin1010101101000110111001…
…01100011111010100110000
310002100102011200021001001022
411112203130230133110300
511041140133044312430
6122022103341155012
74646501126504042
oct526433454372460
9102312150231038
1023540123432240
117556345a95768
12278229785ba68
131019a9377018c
145b54c30b5a92
152ac4ec9774e5
hex1568dcb1f530

23540123432240 has 40 divisors (see below), whose sum is σ = 54741246731808. Its totient is φ = 9414249845760.

The previous prime is 23540123432227. The next prime is 23540123432249. The reversal of 23540123432240 is 4223432104532.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×235401234322403 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 23540123432240.

It is not an unprimeable number, because it can be changed into a prime (23540123432249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27696356 + ... + 28533635.

Almost surely, 223540123432240 is an apocalyptic number.

23540123432240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23540123432240 is an abundant number, since it is smaller than the sum of its proper divisors (31201123299568).

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

23540123432240 is a wasteful number, since it uses less digits than its factorization.

23540123432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56235237 (or 56235231 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 23540123432240 its reverse (4223432104532), we get a palindrome (27763555536772).

The spelling of 23540123432240 in words is "twenty-three trillion, five hundred forty billion, one hundred twenty-three million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5233 10466 20932 26165 41864 52330 83728 104660 209320 418640 56229991 112459982 224919964 281149955 449839928 562299910 899679856 1124599820 2249199640 4498399280 294251542903 588503085806 1177006171612 1471257714515 2354012343224 2942515429030 4708024686448 5885030858060 11770061716120 23540123432240