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43132311680 = 275283323789
BaseRepresentation
bin101000001010111000…
…101101100010000000
311010022222001110100012
4220022320231202000
51201313332433210
631451551044052
73054600412553
oct501270554200
9133288043305
1043132311680
111732407a187
128438b10628
1340b4cb1823
1421325b669a
1511c69b4305
hexa0ae2d880

43132311680 has 64 divisors (see below), whose sum is σ = 103153915800. Its totient is φ = 17246109696.

The previous prime is 43132311671. The next prime is 43132311689. The reversal of 43132311680 is 8611323134.

It is an interprime number because it is at equal distance from previous prime (43132311671) and next prime (43132311689).

It can be written as a sum of positive squares in 4 ways, for example, as 25515589696 + 17616721984 = 159736^2 + 132728^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (43132311689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1801226 + ... + 1825014.

Almost surely, 243132311680 is an apocalyptic number.

43132311680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43132311680 is an abundant number, since it is smaller than the sum of its proper divisors (60021604120).

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

43132311680 is a wasteful number, since it uses less digits than its factorization.

43132311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26641 (or 26629 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 43132311680 in words is "forty-three billion, one hundred thirty-two million, three hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2833 5666 11332 14165 22664 23789 28330 45328 47578 56660 90656 95156 113320 118945 181312 190312 226640 237890 362624 380624 453280 475780 761248 906560 951560 1522496 1813120 1903120 3044992 3806240 7612480 15224960 67394237 134788474 269576948 336971185 539153896 673942370 1078307792 1347884740 2156615584 2695769480 4313231168 5391538960 8626462336 10783077920 21566155840 43132311680