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43142664576 = 2731110213699
BaseRepresentation
bin101000001011100000…
…001101000110000000
311010100200112102211210
4220023200031012000
51201324010231301
631453001010120
73055054412124
oct501340150600
9133320472753
1043142664576
1117329a004a0
128440483940
1340b7197bbb
142133b0d584
1511c785bad6
hexa0b80d180

43142664576 has 64 divisors (see below), whose sum is σ = 125015688000. Its totient is φ = 13073533440.

The previous prime is 43142664571. The next prime is 43142664619. The reversal of 43142664576 is 67546624134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×431426645763 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43142664571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5102626 + ... + 5111073.

It is an arithmetic number, because the mean of its divisors is an integer number (1953370125).

Almost surely, 243142664576 is an apocalyptic number.

It is an amenable number.

43142664576 is an abundant number, since it is smaller than the sum of its proper divisors (81873023424).

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

43142664576 is a wasteful number, since it uses less digits than its factorization.

43142664576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10213727 (or 10213715 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 43142664576 in words is "forty-three billion, one hundred forty-two million, six hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10213699 20427398 30641097 40854796 61282194 81709592 112350689 122564388 163419184 224701378 245128776 326838368 337052067 449402756 490257552 653676736 674104134 898805512 980515104 1307353472 1348208268 1797611024 1961030208 2696416536 3595222048 3922060416 5392833072 7190444096 10785666144 14380888192 21571332288 43142664576