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43434148632 = 233718110211399
BaseRepresentation
bin101000011100111000…
…001000001100011000
311011010000000100210120
4220130320020030120
51202423120224012
631541532313240
73065224112640
oct503470101430
9134100010716
1043434148632
1117469498806
128502012820
1341326a3784
142160707520
1511e323758c
hexa1ce08318

43434148632 has 128 divisors (see below), whose sum is σ = 124994688000. Its totient is φ = 12320294400.

The previous prime is 43434148621. The next prime is 43434148643. The reversal of 43434148632 is 23684143434.

It is an interprime number because it is at equal distance from previous prime (43434148621) and next prime (43434148643).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31045869 + ... + 31047267.

It is an arithmetic number, because the mean of its divisors is an integer number (976521000).

Almost surely, 243434148632 is an apocalyptic number.

43434148632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43434148632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62497344000).

43434148632 is an abundant number, since it is smaller than the sum of its proper divisors (81560539368).

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

43434148632 is a wasteful number, since it uses less digits than its factorization.

43434148632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2613 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The spelling of 43434148632 in words is "forty-three billion, four hundred thirty-four million, one hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 362 543 724 1021 1086 1267 1399 1448 2042 2172 2534 2798 3063 3801 4084 4197 4344 5068 5596 6126 7147 7602 8168 8394 9793 10136 11192 12252 14294 15204 16788 19586 21441 24504 28588 29379 30408 33576 39172 42882 57176 58758 78344 85764 117516 171528 184801 235032 253219 369602 506438 554403 739204 759657 1012876 1108806 1293607 1428379 1478408 1519314 1772533 2025752 2217612 2587214 2856758 3038628 3545066 3880821 4285137 4435224 5174428 5317599 5713516 6077256 7090132 7761642 8570274 9998653 10348856 10635198 11427032 14180264 15523284 17140548 19997306 21270396 29995959 31046568 34281096 39994612 42540792 59991918 79989224 119983836 239967672 258536599 517073198 775609797 1034146396 1551219594 1809756193 2068292792 3102439188 3619512386 5429268579 6204878376 7239024772 10858537158 14478049544 21717074316 43434148632