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740642323246047 = 33371524148644033
BaseRepresentation
bin1010100001100111000011101…
…0100101010010101111011111
310121010101201021221122102202000
42220121300322211102233133
51234034140434222333142
611143114215223533343
7312001433133135165
oct25031607245225737
93533351257572660
10740642323246047
111a4a9a710a6a982
126b09953b5ba253
1325a3636b350c81
14d0c73cb76b235
155a95c16e7314c
hex2a19c3a952bdf

740642323246047 has 32 divisors (see below), whose sum is σ = 1126977196666560. Its totient is φ = 480385110896640.

The previous prime is 740642323246031. The next prime is 740642323246079.

740642323246047 is a `hidden beast` number, since 7 + 4 + 0 + 6 + 4 + 2 + 3 + 2 + 3 + 24 + 604 + 7 = 666.

740642323246047 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 740642323246047 - 24 = 740642323246031 is a prime.

It is a super-2 number, since 2×7406423232460472 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 740642323245984 and 740642323246002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740642323246087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9096258 + ... + 39547775.

It is an arithmetic number, because the mean of its divisors is an integer number (35218037395830).

Almost surely, 2740642323246047 is an apocalyptic number.

740642323246047 is a deficient number, since it is larger than the sum of its proper divisors (386334873420513).

740642323246047 is a wasteful number, since it uses less digits than its factorization.

740642323246047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48659320 (or 48659314 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 54.

The spelling of 740642323246047 in words is "seven hundred forty trillion, six hundred forty-two billion, three hundred twenty-three million, two hundred forty-six thousand, forty-seven".

Divisors: 1 3 9 27 37 111 333 999 15241 45723 137169 411507 563917 1691751 5075253 15225759 48644033 145932099 437796297 1313388891 1799829221 5399487663 16198462989 48595388967 741383706953 2224151120859 6672453362577 20017360087731 27431197157261 82293591471783 246880774415349 740642323246047