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243623987145 = 34573113137139
BaseRepresentation
bin1110001011100100011…
…1110000011111001001
3212021211120111211210000
43202321013300133021
512442420220042040
6303530323313213
723413141503000
oct3427107603711
9767746454700
10243623987145
1194358431440
123b27121b809
1319c8712ca16
14bb11ac3c37
15650d1aa130
hex38b91f07c9

243623987145 has 640 divisors, whose sum is σ = 593252352000. Its totient is φ = 94646361600.

The previous prime is 243623987093. The next prime is 243623987149. The reversal of 243623987145 is 541789326342.

243623987145 is a `hidden beast` number, since 2 + 4 + 3 + 623 + 9 + 8 + 7 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 243623987145 - 214 = 243623970761 is a prime.

It is a super-2 number, since 2×2436239871452 (a number of 24 digits) contains 22 as substring.

Its product of digits (8709120) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 243623987091 and 243623987100.

It is not an unprimeable number, because it can be changed into a prime (243623987149) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1752690486 + ... + 1752690624.

It is an arithmetic number, because the mean of its divisors is an integer number (926956800).

Almost surely, 2243623987145 is an apocalyptic number.

It is an amenable number.

243623987145 is an abundant number, since it is smaller than the sum of its proper divisors (349628364855).

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

243623987145 is a wasteful number, since it uses less digits than its factorization.

243623987145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 243623987145 in words is "two hundred forty-three billion, six hundred twenty-three million, nine hundred eighty-seven thousand, one hundred forty-five".